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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mech. Eng.</journal-id>
<journal-title>Frontiers in Mechanical Engineering</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mech. Eng.</abbrev-journal-title>
<issn pub-type="epub">2297-3079</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmech.2017.00001</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Mechanical Engineering</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Oil Accumulation and First Fire Readiness Analysis of Cylinder Deactivation</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Halbe</surname> <given-names>Mayura</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://frontiersin.org/people/u/375839"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Pietrzak</surname> <given-names>Brad</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Fain</surname> <given-names>David</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://frontiersin.org/people/u/390627"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Ramesh</surname> <given-names>Aswin</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://frontiersin.org/people/u/375822"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Shaver</surname> <given-names>Greg</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="cor1">&#x0002A;</xref>
<uri xlink:href="http://frontiersin.org/people/u/190171"/>
</contrib>
<contrib contrib-type="author">
<name><surname>McCarthy</surname> <given-names>James E.</given-names> <suffix>Jr.</suffix></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://frontiersin.org/people/u/258995"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Ruth</surname> <given-names>Mike</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Koeberlein</surname> <given-names>Edward</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Cummins Inc.</institution>, <addr-line>Columbus, IN</addr-line>, <country>USA</country></aff>
<aff id="aff2"><sup>2</sup><institution>Purdue University</institution>, <addr-line>West Lafayette, IN</addr-line>, <country>USA</country></aff>
<aff id="aff3"><sup>3</sup><institution>Eaton</institution>, <addr-line>Marshall, MI</addr-line>, <country>USA</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Stephen Anthony Ciatti, Argonne National Laboratory (DOE), USA</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Robert Gary Prucka, Clemson University, USA; Kalyan Srinivasan, Mississippi State University, USA</p></fn>
<corresp content-type="corresp" id="cor1">&#x0002A;Correspondence: Greg Shaver, <email>gshaver&#x00040;purdue.edu</email></corresp>
<fn fn-type="other" id="fn002"><p>Specialty section: This article was submitted to Engine and Automotive Engineering, a section of the journal Frontiers in Mechanical Engineering</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>06</day>
<month>03</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="collection">
<year>2017</year>
</pub-date>
<volume>3</volume>
<elocation-id>1</elocation-id>
<history>
<date date-type="received">
<day>04</day>
<month>09</month>
<year>2016</year>
</date>
<date date-type="accepted">
<day>14</day>
<month>02</month>
<year>2017</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2017 Halbe, Pietrzak, Fain, Ramesh, Shaver, McCarthy, Ruth and Koeberlein.</copyright-statement>
<copyright-year>2017</copyright-year>
<copyright-holder>Halbe, Pietrzak, Fain, Ramesh, Shaver, McCarthy, Ruth and Koeberlein</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract>
<p>Cylinder deactivation (CDA) is a technology that can improve the fuel economy and exhaust thermal management of compression ignition engines (diesel and natural gas), especially at low loads and engine idling conditions. The reduction in engine displacement during CDA improves fuel efficiency at low loads primarily through a reduction in pumping work. During deactivation of a given cylinder, the drop in pressure inside the cylinder could possibly lead to the transport of oil from the crankcase into the cylinder owing to the reduced pressure difference between the crankcase and the cylinder. In addition, CDA might inhibit the first fire readiness of a reactivating cylinder as a result of reduced wall, head, and piston temperatures. Both of these potential issues are quantitatively studied in this article. This article describes a strategy to estimate in-cylinder oil accumulation during CDA, and first fire readiness following CDA, through comparison of individual heat release profiles before and after CDA. Cylinder cool-down and oil accumulation during deactivation could possibly result in misfire or degraded combustion upon an attempt to reactivate a given cylinder. Fortunately, experiments described in this article demonstrate no cases of misfire at any speed/load conditions for the CDA durations tested, specifically 100&#x02009;ft-lb load at 800&#x02009;rpm and 1,200&#x02009;rpm with deactivation intervals of 0.5, 5, 10, and 20&#x02009;min. Although pilot heat release in the reactivated cylinders was delayed by approximately 1 CAD after 5&#x02009;min of CDA, the main heat release was very similar to the heat release of a continuously activated cylinder. As such, results show no first fire readiness issues at the conditions tested. The duration of time the engine could be operated in CDA mode without significant oil accumulation and other methods to minimize oil accumulation during CDA have also been proposed.</p>
</abstract>
<kwd-group>
<kwd>diesel engine</kwd>
<kwd>cylinder deactivation</kwd>
<kwd>variable valve actuation</kwd>
<kwd>combustion</kwd>
<kwd>multicylinder</kwd>
</kwd-group>
<contract-sponsor id="cn01">Cummins Incorporated<named-content content-type="fundref-id">10.13039/100008298</named-content></contract-sponsor>
<contract-sponsor id="cn02">Eaton Corporation<named-content content-type="fundref-id">10.13039/100004369</named-content></contract-sponsor>
<counts>
<fig-count count="13"/>
<table-count count="1"/>
<equation-count count="8"/>
<ref-count count="11"/>
<page-count count="12"/>
<word-count count="6855"/>
</counts>
</article-meta>
</front>
<body>
<sec id="S1" sec-type="introduction">
<label>1</label> <title>Introduction</title>
<p>Strategies to improve engine performance and efficiency include advanced combustion techniques and variable valve actuation. The experimental apparatus used for this study incorporates a fully flexible variable valve actuation (VVA) system mounted on a modern diesel engine. The VVA system enables cylinder-independent, cycle-by-cycle control of the engine valve events including opening timing, closing timing, and lift for the intake and exhaust valves for all six cylinders. This effort utilizes the VVA to achieve and study cylinder deactivation (CDA).</p>
<p>Cylinder deactivation (CDA) involves the deactivation of the valve motions and fuel injection for 1, 2, or more cylinders in the engine (McCarthy, <xref ref-type="bibr" rid="B9">2016</xref>). CDA reduces the amount of air inducted into the engine, reducing the pumping losses and thereby improving fuel efficiency at low loads. CDA is also useful for exhaust aftertreatment thermal management via reduced air/fuel ratios (Ding, <xref ref-type="bibr" rid="B2">2014</xref>). However, since there is no combustion to maintain elevated pressures in a deactivated cylinder during the deactivation period, lubricating oil from the crankcase can enter the combustion chamber (Ma, <xref ref-type="bibr" rid="B7">2010</xref>). The oil includes sulfur that will damage aftertreatment components. In addition, the oil accumulation and cylinder cooling could possibly lead to misfire or degraded combustion upon reactivation.</p>
<p>CDA is a promising technology for improved diesel engine fuel economy and exhaust thermal management (Leone and Pozar, <xref ref-type="bibr" rid="B6">2001</xref>; Magee, <xref ref-type="bibr" rid="B8">2013</xref>). Mo et al. (<xref ref-type="bibr" rid="B10">2014</xref>) studied the effect of CDA on engine performance through the simulation of a six-cylinder, 7.3-L turbocharged diesel engine and showed the brake-specific fuel consumption by 0&#x02013;17.25% when the MEP was below 3.5 bar at 1,700 and 900&#x02009;rpm. In addition, fuel efficiency increases of up to 26.8% were obtained at idle.</p>
<p>Benefits of CDA for exhaust thermal management have also been shown by Ding (<xref ref-type="bibr" rid="B2">2014</xref>) and Ding et al. (<xref ref-type="bibr" rid="B3">2015a</xref>,<xref ref-type="bibr" rid="B4">b</xref>) using experimental results on a six-cylinder Cummins engine utilizing a VVA. CDA was found particularly useful for cold start and extended idle operation, when the exhaust aftertreatment including the SCR and DOC have not reached the desired light-off temperatures. For example, CDA was shown capable of increasing exhaust temperatures from 190 to 310&#x000B0;C at a loaded idle condition by reducing the air flow through the engine, without additional fuel penalty.</p>
<p>Prior research efforts as discussed above indicate the potential merit of CDA for fuel economy and exhaust thermal management especially at low loads. However, the issue of in-cylinder oil accumulation during CDA needs to be understood.</p>
<p>Ma (<xref ref-type="bibr" rid="B7">2010</xref>) identified that the primary reason for oil accumulation in a deactivated cylinder is leakage through the top ring gap and ring groove as a result of the lower cylinder gas pressure. Strategies for reducing the ring/groove clearances and sizes of the ring gaps and designing the structure of the piston-lands to enhance downward oil flow have been discussed in the study by Ma (<xref ref-type="bibr" rid="B7">2010</xref>).</p>
<p>Yilmaz et al. (<xref ref-type="bibr" rid="B11">2004</xref>) identified several sources of oil consumption by using laser-induced fluorescence (LIF). Major sources of oil consumption included entrainment in blow-by gas, evaporation due to differences in volatility, as well as transport through the valve guides, with reverse gas flow, and along the pistons. Yilmaz et al. concluded that at loads less than 50% of the maximum, oil consumption is mainly due to oil transport past the piston rings and increased as load increased.</p>
<p>Ariga (<xref ref-type="bibr" rid="B1">1996</xref>) stressed the importance of developing oil reduction strategies specifically pointing out that the current levels of oil-derived particulate emissions in a heavy duty diesel engine is approximately 0.02&#x02009;g/bhp-hr under the US FTP transient emissions test procedure. This is 25% of the 0.1&#x02009;g/bhp-hr particulate standard. It is expected in the near future that the particulate standard will be further reduced. In such a case, controlling oil-derived particulates will be imperative.</p>
<p>This article describes a strategy to estimate oil accumulation during CDA and first fire readiness upon reactivation of the cylinders in section <xref ref-type="sec" rid="S3">3</xref>. The article also provides detailed results of experiments carried out by the authors to calculate the amount of oil accumulated inside the combustion chamber of a deactivated cylinder for two different engine speeds in section <xref ref-type="sec" rid="S5">5</xref>. First fire readiness upon cylinder reactivation is also described. Three out of six cylinders of the engine were deactivated for a variety of time durations&#x02014;specifically, 0.5, 5, 10, and 20&#x02009;minutes.</p>
</sec>
<sec id="S2">
<label>2</label> <title>Experimental Testbed</title>
<p>The experimental testbed used in this study is built around a 6-cylinder Cummins diesel engine with a common rail injection system, variable geometry turbine (VGT), an air-to-water charge air cooler, and high-pressure EGR. A schematic of the engine architecture is shown in Figure <xref ref-type="fig" rid="F1">1</xref>A. Kistler 6067C in-cylinder pressure transducers are used along with an AVL 621 IndiCom high-speed data acquisition system, which records cycle-by-cycle in-cylinder pressure data for each cylinder and calculates the apparent heat release rate for each cycle for the respective cylinder. The engine lubricating oil used in this engine is Valvoline 15W-40 oil for heavy duty diesel engines.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p><bold>(A)</bold> Schematic of engine testbed. <bold>(B)</bold> Schematic of fully flexible electrohydraulic variable valve actuator.</p></caption>
<graphic xlink:href="fmech-03-00001-g001.tif"/>
</fig>
<p>A unique feature of this testbed is that it is outfitted with a fully flexible electrohydraulic variable valve actuation (VVA) system. Figure <xref ref-type="fig" rid="F1">1</xref>B is a schematic of the VVA system. The VVA system allows cycle-to-cycle, cylinder-independent control of valve events, including opening timing, closing timing, and valve lift for all 12 intake and exhaust valve pairs. Valve motions are deactivated in a coordinated manner with fueling to enable CDA.</p>
<p>The next section presents a detailed analysis of in-cylinder oil accumulation and first fire readiness characteristics of cylinder deactivation (CDA). Results of experiments conducted by the authors to measure oil accumulated in the combustion chamber of deactivated cylinders are discussed. Analysis of first fire readiness based on heat release profiles of reactivated cylinders is also presented. The section concludes by comparing the calculated oil mass values at two different engine speeds and showing the relation between CDA duration and accumulated oil mass. No first fire readiness issues were observed for any of the cylinders at the two operating conditions considered, 800&#x02009;rpm 100&#x02009;ft-lb and 1,200&#x02009;rpm 100&#x02009;ft-lb, following up to 20&#x02009;minutes of deactivation.</p>
</sec>
<sec id="S3">
<label>3</label> <title>In-Cylinder Oil Accumulation Characteristics of CDA</title>
<p>Engine lubricating oil from the crankcase is expected to enter the combustion chamber of a deactivated cylinder as a result of reduced in-cylinder pressure during the deactivation period. Previously, the authors have explored methods of oil accumulation during CDA through measurement of hydrocarbon emissions using a Cambustion Hydrocarbon Analyzer in the existing experimental testbed. This method required the oil to be in vapor phase. However, operating the sample line of the analyzer at temperatures high enough to vaporize oil was not possible without damaging the analyzer. As such, a new method was developed in which cycle-by-cycle heat release data were recorded for each cylinder during the transition from CDA to normal six-cylinder operation mode. These heat release profiles were used to estimate oil accumulated in the deactivated cylinders and also to check whether the reactivated cylinders fire as desired.</p>
<sec id="S3-1">
<label>3.1</label> <title>Methodology for Measuring Oil Accumulation</title>
<p>The strategy developed to estimate oil accumulation during CDA is outlined below:
<list list-type="order">
<list-item><p>Operate the engine in CDA mode for N cycles at the desired engine speed and load.</p></list-item>
<list-item><p>Exit from CDA mode by inducting fresh charge and fire the reactivated cylinder as per the firing order of the engine.</p></list-item>
<list-item><p>Combust a known amount of air/fuel mixture added to the reactivated cylinder as well as the accumulated oil during the period of cylinder deactivation. It is assumed that any deviation in the heat release of a reactivated cylinder compared to the heat release of the same cylinder when it is actively firing is solely due to the combustion of oil accumulated during CDA.</p></list-item>
<list-item><p>Estimate the oil mass accumulated in the cylinder over N cycles of deactivation.</p></list-item>
</list></p>
</sec>
<sec id="S3-2">
<label>3.2</label> <title>Important Considerations in the Development of an Algorithm for Transition from CDA to Six-Cylinder Mode</title>
<p>Control algorithms for the VVA and fuel injection systems were developed specifically to study oil accumulation and first fire readiness issues of CDA. Important characteristics of the algorithm developed for transition from CDA mode to six-cylinder mode are discussed below.</p>
<sec id="S3-2-1">
<label>3.2.1</label> <title>Sequence of Valve Events during Cylinder Reactivation</title>
<p>Transition from CDA mode to six-cylinder firing mode can be executed using different techniques of valve events (Ding, <xref ref-type="bibr" rid="B2">2014</xref>; Ding et al., <xref ref-type="bibr" rid="B3">2015a</xref>,<xref ref-type="bibr" rid="B4">b</xref>). Opening the exhaust valve first during transition to six-cylinder mode would let the accumulated in-cylinder oil escape into the exhaust stream. Since the objective of experiments described in this article is to estimate in-cylinder oil accumulation during CDA using heat release-based analysis, the sequence of valve events during transition from CDA to six-cylinder mode was chosen such that the combustion of the possible oil accumulated during CDA could be captured. The sequence of events during transition from CDA to six-cylinder mode during the experiment is as below:
<list list-type="simple">
<list-item><label>&#x02013;</label> <p>intake valve lift,</p></list-item>
<list-item><label>&#x02013;</label> <p>fuel injection, and then</p></list-item>
<list-item><label>&#x02013;</label> <p>exhaust valve lift.</p></list-item>
</list></p>
<p>This sequence of valve events results in the combustion of a known amount of air/fuel mixture added to the reactivated cylinder as well as the accumulated oil during the period of cylinder deactivation. Consequently, any deviation in the heat release of a reactivated cylinder compared to the heat release of the same cylinder when it is actively firing can be analyzed, and the oil accumulated during CDA can be estimated.</p>
<p>Figure <xref ref-type="fig" rid="F2">2</xref> shows an example of the sequence of valve and fuel injection events during transition from CDA to six-cylinder mode. Cylinders 1, 2, and 3 were deactivated for 20&#x02009;min at 800&#x02009;rpm, 100&#x02009;ft-lb during the test. The figure shows the valve events during reactivation of cylinder 1 that includes intake valve opening and fuel injection followed by exhaust valve opening.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p><bold>Sequence of events during transition of cylinder 1 from deactivated to normal firing mode</bold>.</p></caption>
<graphic xlink:href="fmech-03-00001-g002.tif"/>
</fig>
</sec>
<sec id="S3-2-2">
<label>3.2.2</label> <title>Maintaining Torque Relatively Constant during Transition from CDA to Six-Cylinder Mode</title>
<p>The valve control algorithm was modified such that the torque during transition from CDA to normal 6-cylinder operation remains relatively constant for the purpose of calculating oil accumulated during CDA in this study. To achieve this, fueling to each of the firing cylinders is approximately doubled in CDA mode. Fueling in each of the six cylinders is <italic>x</italic> mg/str when normal six-cylinder mode is resumed at the same speed/load condition. Figure <xref ref-type="fig" rid="F2">2</xref> shows an example of change in fueling from 2<italic>x</italic> mg/str in the active cylinders 4, 5, and 6 to <italic>x</italic> mg/str per cylinder in all of the six cylinders during the normal six-cylinder mode.</p>
</sec>
</sec>
<sec id="S3-3">
<label>3.3</label> <title>Heat Release-Based Analysis of Oil Accumulation</title>
<p>The basic strategy followed to measure oil accumulation in the combustion chamber of a deactivated cylinder is to calculate the extra hydrocarbon burned upon reactivating that cylinder. The fundamental equation that describes the combustion of accumulated oil and injected fuel in a reactivated cylinder is shown in equation (<xref ref-type="disp-formula" rid="E1">1</xref>).</p>
<p><disp-formula id="E1"><label>(1)</label><mml:math id="M1"><mml:mrow><mml:mo>&#x0222B;</mml:mo><mml:mfrac><mml:mrow><mml:mi>d</mml:mi><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>s</mml:mi><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>d</mml:mi><mml:mi>e</mml:mi><mml:mi>a</mml:mi><mml:mi>c</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>v</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mn>&#x003B8;</mml:mn></mml:mrow></mml:mfrac><mml:mi>d</mml:mi><mml:mn>&#x003B8;</mml:mn><mml:mo>=</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>s</mml:mi><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>d</mml:mi><mml:mi>e</mml:mi><mml:mi>a</mml:mi><mml:mi>c</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>v</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>m</mml:mi><mml:mrow><mml:mi>f</mml:mi><mml:mi>u</mml:mi><mml:mi>e</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mi>L</mml:mi><mml:mi>H</mml:mi><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>f</mml:mi><mml:mi>u</mml:mi><mml:mi>e</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:msub><mml:mi>m</mml:mi><mml:mrow><mml:mi>o</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mi>L</mml:mi><mml:mi>H</mml:mi><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>o</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
where <inline-formula><mml:math id="M2"><mml:mrow><mml:mstyle scriptlevel='+1'><mml:mfrac><mml:mrow><mml:mi>d</mml:mi><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>s</mml:mi><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>d</mml:mi><mml:mi>e</mml:mi><mml:mi>a</mml:mi><mml:mi>c</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>v</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mn>&#x003B8;</mml:mn></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula> is the gross heat release rate as a function of crank angle for a cylinder reactivated after N minutes of CDA and <italic>Q<sub>gross,deactive</sub></italic> is the cumulative gross heat released for a reactivated cylinder. <italic>m<sub>fuel</sub></italic> is the known quantity of fuel injected in the reactivated cylinder, and <italic>m<sub>oil</sub></italic> is the mass of oil combusted after reactivation of the same cylinder. <italic>LHV<sub>fuel</sub></italic> is the lower heating value of diesel fuel, and <italic>LHV<sub>oil</sub></italic> is the lower heating value of oil, approximated as <italic>LHV<sub>oil</sub></italic>&#x02009;&#x0003D;&#x02009;40.2&#x02009;MJ/kg (Garg et al., <xref ref-type="bibr" rid="B5">2006</xref>). Likewise, the gross heat release rate of the same cylinder during normal operation is
<disp-formula id="E2"><label>(2)</label><mml:math id="M3"><mml:mrow><mml:mo>&#x0222B;</mml:mo><mml:mfrac><mml:mrow><mml:mi>d</mml:mi><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>s</mml:mi><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi><mml:mi>a</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mi>l</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mn>&#x003B8;</mml:mn></mml:mrow></mml:mfrac><mml:mi>d</mml:mi><mml:mn>&#x003B8;</mml:mn><mml:mo>=</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>s</mml:mi><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi><mml:mi>a</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mi>l</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>m</mml:mi><mml:mrow><mml:mi>f</mml:mi><mml:mi>u</mml:mi><mml:mi>e</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mi>L</mml:mi><mml:mi>H</mml:mi><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>f</mml:mi><mml:mi>u</mml:mi><mml:mi>e</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
<p>If the same cylinder&#x02019;s <italic>Q<sub>gross,baseline</sub></italic> is known during a case of no oil accumulation, equations (<xref ref-type="disp-formula" rid="E1">1</xref>) and (<xref ref-type="disp-formula" rid="E2">2</xref>) can be combined to give
<disp-formula id="E3"><label>(3)</label><mml:math id="M4"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mrow><mml:mi>o</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>s</mml:mi><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>d</mml:mi><mml:mi>e</mml:mi><mml:mi>a</mml:mi><mml:mi>c</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>v</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub><mml:mo>&#x02212;</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>s</mml:mi><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi><mml:mi>a</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mi>l</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>L</mml:mi><mml:mi>H</mml:mi><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>o</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
where <italic>Q<sub>gross,baseline</sub></italic> is the gross cumulative heat released when a cylinder is actively firing (no oil accumulation case) and is referred to as the baseline heat release for that cylinder. <italic>Q<sub>gross,deactive</sub></italic> is the gross cumulative heat release when the same cylinder is reactivated after N minutes of CDA. The term (<italic>Q<sub>gross,deactive</sub></italic>&#x02009;<italic>&#x02212;&#x02009;Q<sub>gross,baseline</sub></italic>) thus gives the heat released due to combustion of the extra hydrocarbon from oil accumulated during deactivation of that cylinder. Dividing this extra heat released by the lower heating value of oil <italic>LHV<sub>oil</sub></italic> gives the mass of oil accumulated in a cylinder that has been deactivated for N minutes. The <italic>m<sub>oil</sub></italic> calculated in equation (<xref ref-type="disp-formula" rid="E3">3</xref>) shows calculation for one engine cycle after the cylinder is reactivated. If oil combustion is evident in more than one cycle after reactivation, the total mass of oil burned after a cylinder is reactivated, which is given by equation (<xref ref-type="disp-formula" rid="E4">4</xref>).</p>
<p><disp-formula id="E4"><label>(4)</label><mml:math id="M5"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mrow><mml:mi>o</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mi>L</mml:mi><mml:mi>H</mml:mi><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>o</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mstyle displaystyle='true'><mml:munderover><mml:mo>&#x02211;</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover></mml:mstyle><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>s</mml:mi><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>d</mml:mi><mml:mi>e</mml:mi><mml:mi>a</mml:mi><mml:mi>c</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>v</mml:mi><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>&#x02212;</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>s</mml:mi><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi><mml:mi>a</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mi>l</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo stretchy='false'>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
where <italic>i</italic> is the engine cycle number after the cylinder is reactivated and <italic>n</italic> is the number of engine cycles for which oil combustion is evident, which is for those cycles in which <italic>Q<sub>gross,deactive</sub></italic> is larger than <italic>Q<sub>gross,baseline</sub></italic>.</p>
</sec>
<sec id="S3-4">
<label>3.4</label> <title>Calculation of Gross Heat Release Rate</title>
<p>Gross heat release rate is calculated here since it represents the heat released within the cylinder during combustion and includes the impact of heat lost through the cylinder walls. Standard calculations of gross heat release rate have been used:
<disp-formula id="E5"><label>(5)</label><mml:math id="M6"><mml:mrow><mml:mfrac><mml:mrow><mml:mi>d</mml:mi><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>s</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mn>&#x003B8;</mml:mn></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>d</mml:mi><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mi>e</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mn>&#x003B8;</mml:mn></mml:mrow></mml:mfrac><mml:mo>+</mml:mo><mml:mfrac><mml:mrow><mml:mi>d</mml:mi><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>w</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mn>&#x003B8;</mml:mn></mml:mrow></mml:mfrac><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
where <inline-formula><mml:math id="M7"><mml:mrow><mml:mstyle scriptlevel='+1'><mml:mfrac><mml:mrow><mml:mi>d</mml:mi><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mi>e</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mn>&#x003B8;</mml:mn></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula> is the net heat release rate and <inline-formula><mml:math id="M8"><mml:mrow><mml:mstyle scriptlevel='+1'><mml:mfrac><mml:mrow><mml:mi>d</mml:mi><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>w</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mn>&#x003B8;</mml:mn></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula> is the rate of heat transfer through the cylinder walls. The term <inline-formula><mml:math id="M9"><mml:mrow><mml:mstyle scriptlevel='+1'><mml:mfrac><mml:mrow><mml:mi>d</mml:mi><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>n</mml:mi><mml:mi>e</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mn>&#x003B8;</mml:mn></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:math></inline-formula> is calculated using AVL IndiCom from the in-cylinder pressure measurements recorded on a cycle-by-cycle basis every time data are collected for 100 engine cycles during CDA to 6-cylinder transition. Equation <xref ref-type="disp-formula" rid="E6">6</xref> is used to calculate rate of heat transfer through the cylinder walls during cylinder deactivation.</p>
<p><disp-formula id="E6"><label>(6)</label><mml:math id="M10"><mml:mrow><mml:mfrac><mml:mrow><mml:mi>d</mml:mi><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>w</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mn>&#x003B8;</mml:mn></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:mo stretchy='false'>(</mml:mo><mml:mn>&#x003B8;</mml:mn><mml:mo stretchy='false'>)</mml:mo><mml:mi>h</mml:mi><mml:mo stretchy='false'>(</mml:mo><mml:mn>&#x003B8;</mml:mn><mml:mo stretchy='false'>)</mml:mo><mml:mo stretchy='false'>(</mml:mo><mml:mi>T</mml:mi><mml:mo>&#x02212;</mml:mo><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>w</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo stretchy='false'>)</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
where <italic>A</italic>(&#x003B8;) is the inside surface area of the cylinder as a function of crank angle, <italic>h</italic>(&#x003B8;) is the instantaneous heat transfer coefficient, <italic>T</italic> is the bulk temperature of the contents of the cylinder, and <italic>T<sub>wall</sub></italic> is the temperature of the cylinder walls. The heat transfer coefficient <italic>h</italic>(&#x003B8;) is calculated using Woschni model.</p>
</sec>
<sec id="S3-5">
<label>3.5</label> <title>Test Plan to Measure Oil Accumulation during CDA</title>
<p>The control algorithm described in the previous section was implemented in Matlab/Simulink and communicated through dSPACE. During engine tests, the intake valve profiles, exhaust valve profiles, fuel injector currents, and in-cylinder pressure for each cylinder were monitored in real time. The in-cylinder pressure and calculated apparent heat release rate during combustion were used to calculate oil accumulation during CDA. The test plan developed for oil accumulation measurement experiments at two engine speeds and various CDA durations is illustrated in Table <xref ref-type="table" rid="T1">1</xref>.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p><bold>Test plan for experiments to measure oil accumulation during CDA</bold>.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="left">Cylinders</th>
<th valign="top" align="center">1</th>
<th valign="top" align="center">2</th>
<th valign="top" align="center">3</th>
<th valign="top" align="center">4</th>
<th valign="top" align="center">5</th>
<th valign="top" align="center">6</th>
<th valign="top" align="left">Notes</th>
<th valign="top" align="center">Step</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="4">Fuel amount</td>
<td align="center" valign="top">0</td>
<td align="center" valign="top">0</td>
<td align="center" valign="top">0</td>
<td align="center" valign="top">2x</td>
<td align="center" valign="top">2x</td>
<td align="center" valign="top">2x</td>
<td align="left" valign="top">Cylinders 1, 2, and 3 in CDA for N minutes</td>
<td align="center" valign="top">1</td>
</tr>
<tr>
<td align="center" valign="top">x</td>
<td align="center" valign="top">x</td>
<td align="center" valign="top">x</td>
<td align="center" valign="top">x</td>
<td align="center" valign="top">x</td>
<td align="center" valign="top">x</td>
<td align="left" valign="top">6-cylinder mode (2&#x02009;min)</td>
<td align="center" valign="top">2</td>
</tr>
<tr>
<td align="center" valign="top">2x</td>
<td align="center" valign="top">2x</td>
<td align="center" valign="top">2x</td>
<td align="center" valign="top">0</td>
<td align="center" valign="top">0</td>
<td align="center" valign="top">0</td>
<td align="left" valign="top">Cylinders 4, 5, and 6 in CDA for N minutes</td>
<td align="center" valign="top">3</td>
</tr>
<tr>
<td align="center" valign="top">x</td>
<td align="center" valign="top">x</td>
<td align="center" valign="top">x</td>
<td align="center" valign="top">x</td>
<td align="center" valign="top">x</td>
<td align="center" valign="top">x</td>
<td align="left" valign="top">6-cylinder mode (2&#x02009;min)</td>
<td align="center" valign="top">4</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>During the experiment, three cylinders were deactivated at a time, cylinders 1, 2, and 3 or cylinders 4, 5, and 6 considering the firing order of the cylinders is 1-<italic>5</italic>-3-<italic>6</italic>-2-<italic>4</italic>. The first step in Table <xref ref-type="table" rid="T1">1</xref> shows cylinders 1, 2, and 3 deactivated for N minutes. As already described in the previous section, to maintain torque relatively constant, fueling in each of the active cylinders 4, 5, and 6 was 2<italic>x</italic> mg/str. During transition from CDA in step 1 to six-cylinder mode in step 2, 100 cycles of in-cylinder pressure data were recorded using an AVL IndiCom high-speed data acquisition system. From inspection of the data, following cylinder reactivation, the integrated heat release from a given cycle converges to the heat release of an actively firing cylinder in no more than 100 cycles. That observation, during preliminary analysis, was the basis for including results in this article for the first 100 cycles after cylinder reactivation. These data during 100 cycles were used to calculate baseline heat release <italic>Q<sub>gross,baseline</sub></italic> for the active cylinders 4, 5, and 6 and <italic>Q<sub>gross,deactive</sub></italic> for deactivated cylinders 1, 2, and 3. In the next test, cylinders 4, 5, and 6 were deactivated, and the same process of adjustment of fueling and recording heat releases was repeated. The heat release data in this test was used to calculate <italic>Q<sub>gross,baseline</sub></italic> for active cylinders 1, 2, and 3 and the <italic>Q<sub>gross,deactive</sub></italic> for deactivated cylinders 4, 5, and 6. Using the test plan illustrated in Table <xref ref-type="table" rid="T1">1</xref>, experiments were conducted at engine operating condition of 800&#x02009;rpm, 100&#x02009;ft-lb and 1,200&#x02009;rpm, 100&#x02009;ft-lb with CDA durations of 0.5, 5, 10, and 20&#x02009;min.</p>
</sec>
</sec>
<sec id="S4">
<label>4</label> <title>First Fire Readiness Analysis of CDA</title>
<p>After prolonged deactivation, it is possible for a cylinder to cool down to the extent it is reactivated, and it is not hot enough to immediately combust the fuel properly and give the expected amount of work output. Specifically, cylinder cool-down of deactivated cylinders may delay combustion or in worst case result in misfire. In-cylinder oil accumulation following prolonged CDA could also be a potential cause for first fire readiness issue of CDA. First fire readiness analysis in this article is focused on assessing.</p>
<list list-type="simple">
<list-item><label>&#x02013;</label> <p>Any misfire upon reactivation</p></list-item>
<list-item><label>&#x02013;</label> <p>Any abnormalities in combustion during first and subsequent firings</p></list-item>
</list>
<p>The control algorithm and experiments used to study first fire readiness issue of CDA are the same as conducted for the oil accumulation characterizing, as described in Section <xref ref-type="sec" rid="S3">3</xref>.</p>
</sec>
<sec id="S5">
<label>5</label> <title>Results and Discussion of In-Cylinder Oil Accumulation and First Fire Readiness</title>
<p>Experiments using the test plan outlined in the previous section (per Table <xref ref-type="table" rid="T1">1</xref>) and analysis of in-cylinder oil accumulation and first fire readiness was conducted at two operating conditions 800&#x02009;rpm, 100&#x02009;ft-lb and 1,200&#x02009;rpm, 100&#x02009;ft-lb with CDA durations of 0.5, 5, 10, and 20&#x02009;min. To ensure repeatability, the test plan outlined in Table <xref ref-type="table" rid="T1">1</xref> was executed second time on two different days, resulting in two data sets of the same test conditions.</p>
<p>Values of <italic>Q<sub>gross,baseline</sub></italic> and <italic>Q<sub>gross,deactive</sub></italic> were calculated for 100 cycles of heat release data as discussed in Section <xref ref-type="sec" rid="S3">3</xref> for all cylinders and for different CDA durations at 800&#x02009;rpm, 100&#x02009;ft-lb. Oil masses calculated for the complete data sets 1 and 2 at 800&#x02009;rpm, 100&#x02009;ft-lb are shown in Figures <xref ref-type="fig" rid="F3">3</xref>A,B respectively. Values of calculated oil mass for each cylinder for CDA durations 0.5, 5, 10, and 20&#x02009;min are shown. Figures <xref ref-type="fig" rid="F3">3</xref>A,B indicate that cylinder 2 showed the highest oil accumulation compared to other cylinders for all CDA durations. Higher oil accumulation in cylinder 2 could possibly result in misfire or degraded combustion when reactivated. Hence, results of oil accumulation and first fire readiness for cylinder 2 are discussed in detail in sections <xref ref-type="sec" rid="S5-1">5.1</xref> and <xref ref-type="sec" rid="S5-2">5.2</xref> while analysis of the trends in the entire data set is presented in Sections <xref ref-type="sec" rid="S5-3">5.3</xref> and <xref ref-type="sec" rid="S5-4">5.4</xref>.</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p><bold>(A)</bold> Calculated oil mass in all cylinders for data set 1 at 800&#x02009;rpm, 100&#x02009;ft-lb. <bold>(B)</bold> Calculated oil mass in all cylinders for data set 2 at 800&#x02009;rpm, 100&#x02009;ft-lb.</p></caption>
<graphic xlink:href="fmech-03-00001-g003.tif"/>
</fig>
<sec id="S5-1">
<label>5.1</label> <title>Oil Accumulation</title>
<sec id="S5-1-1">
<label>5.1.1</label> <title>Analysis for 5&#x02009;min of CDA</title>
<p>Figure <xref ref-type="fig" rid="F4">4</xref> shows an example of cumulative heat release plotted on a cycle-by-cycle basis for cylinder 2 following 5&#x02009;min of deactivation at 800&#x02009;rpm, 100&#x02009;ft-lb. The gray line in the figure represents baseline cumulative heat release per cycle when cylinder 2 was actively firing and is fairly constant for all engine cycles at this speed/load condition. The black line is the cumulative heat release per cycle for cylinder 2 prior to and following reactivation. Error bars represent two standard deviations of a 30 cycle mean for <italic>Q<sub>gross,baseline</sub></italic>. Cycles 1, 2, 3, and 4 are the cumulative heat release of cylinder 2 when it was deactivated. The transition of cylinder 2 from CDA to firing mode occurs at cycle 5 as shown in Figure <xref ref-type="fig" rid="F4">4</xref>.</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p><bold>Cumulative heat release per cycle for cylinder 2 after 5&#x02009;min of deactivation in data set 1 at 800&#x02009;rpm, 100&#x02009;ft-lb</bold>.</p></caption>
<graphic xlink:href="fmech-03-00001-g004.tif"/>
</fig>
<p>It is clearly seen that the cumulative heat release in cylinder 2 is much higher in the first cycle after reactivation (cycle 5), compared to the gray-colored baseline value. Since the ECM commanded total fueling was identical for baseline and reactivating cases, the difference between black and gray lines is the result of the combustion of accumulated oil. In addition, the difference in <italic>Q<sub>gross,baseline</sub></italic> and <italic>Q<sub>gross,deactive</sub></italic> persists for the next few cycles as well, indicating that the accumulated oil does not combust completely in the first cycle after reactivation. In this analysis, oil combustion is assumed to be complete in the cycle when the error bars overlap for the first time. As such, the area shaded in blue in Figure <xref ref-type="fig" rid="F4">4</xref> represents the energy released through the combustion of accumulated oil:
<disp-formula id="E7"><label>(7)</label><mml:math id="M11"><mml:mrow><mml:mi>S</mml:mi><mml:mi>h</mml:mi><mml:mi>a</mml:mi><mml:mi>d</mml:mi><mml:mi>e</mml:mi><mml:mi>d</mml:mi><mml:mtext>&#x02009;</mml:mtext><mml:mi>A</mml:mi><mml:mi>r</mml:mi><mml:mi>e</mml:mi><mml:mi>a</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle='true'><mml:munderover><mml:mo>&#x02211;</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:munderover></mml:mstyle><mml:mo stretchy='false'>(</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>s</mml:mi><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>d</mml:mi><mml:mi>e</mml:mi><mml:mi>a</mml:mi><mml:mi>c</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>v</mml:mi><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>&#x02212;</mml:mo><mml:msub><mml:mi>Q</mml:mi><mml:mrow><mml:mi>g</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>s</mml:mi><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi><mml:mi>a</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mi>l</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo stretchy='false'>)</mml:mo><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula></p>
<p>Through the combination of equations (<xref ref-type="disp-formula" rid="E7">7</xref>) and (<xref ref-type="disp-formula" rid="E4">4</xref>), the mass of accumulated oil can be estimated using equation (<xref ref-type="disp-formula" rid="E8">8</xref>),
<disp-formula id="E8"><label>(8)</label><mml:math id="M12"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mrow><mml:mi>o</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>S</mml:mi><mml:mi>h</mml:mi><mml:mi>a</mml:mi><mml:mi>d</mml:mi><mml:mi>e</mml:mi><mml:mi>d</mml:mi><mml:mtext>&#x02009;</mml:mtext><mml:mi>A</mml:mi><mml:mi>r</mml:mi><mml:mi>e</mml:mi><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>L</mml:mi><mml:mi>H</mml:mi><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>o</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>
resulting in a value of 108.41&#x02009;mg of oil accumulated inside cylinder 2 following 5&#x02009;min of deactivation at 800&#x02009;rpm, 100&#x02009;ft-lb.</p>
<p>The corresponding heat release profiles for cylinder 2 are shown in Figure <xref ref-type="fig" rid="F5">5</xref>A. In this figure, the heat release profile in gray is the baseline (when cylinder 2 was actively firing for many prior cycles). Baseline heat release for 10 engine cycles is plotted to visualize cyclic dispersion. Heat release profiles for the first, third, and fifth cycle after reactivation of cylinder 2 have also been shown in Figure <xref ref-type="fig" rid="F5">5</xref>A. The integral of heat release shown by the solid blue line in Figure <xref ref-type="fig" rid="F5">5</xref>A corresponds to the cumulative heat release of cycle 5 (the first cycle after reactivation) in Figure <xref ref-type="fig" rid="F4">4</xref>. The solid blue line deviates from baseline heat release, particularly between 370 CAD and 400 CAD, indicating combustion of extra hydrocarbon on account of oil accumulation. The heat release profiles of the third and fifth cycle after reactivation show similar deviation from baseline. This is consistent with the higher <italic>Q<sub>gross,deactive</sub></italic> due to combustion of accumulated oil seen in the cycle numbers 7 and 9 in Figure <xref ref-type="fig" rid="F4">4</xref>.</p>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p><bold>(A)</bold> Heat release rate for cylinder 2 after 5&#x02009;min of deactivation in data set 1 at 800&#x02009;rpm, 100&#x02009;ft-lb. <bold>(B)</bold> Cumulative heat release for cylinder 2 after 5&#x02009;min of deactivation in data set 1 at 800&#x02009;rpm, 100&#x02009;ft-lb.</p></caption>
<graphic xlink:href="fmech-03-00001-g005.tif"/>
</fig>
<p>Figure <xref ref-type="fig" rid="F5">5</xref>B shows the cumulative heat release calculated by taking a running integral of the apparent heat release profiles in Figure <xref ref-type="fig" rid="F5">5</xref>A. The gray plots in Figure <xref ref-type="fig" rid="F5">5</xref>B represent ten cycles of baseline heat release of cylinder 2. Cumulative heat release for the first, third, and fifth cycle after reactivation of cylinder 2 is also shown for reference. The values of cumulative heat release in Figure <xref ref-type="fig" rid="F4">4</xref> correspond to the final values in Figure <xref ref-type="fig" rid="F5">5</xref>B.</p>
</sec>
<sec id="S5-1-2">
<label>5.1.2</label> <title>Analysis for 10 and 20&#x02009;min of CDA</title>
<p>Continuing heat release-based analysis of oil accumulation in cylinder 2, the experiment was repeated for CDA durations of 10&#x02009;min, 20&#x02009;min, and 30&#x02009;s.</p>
<p>Cumulative heat release on a cycle-by-cycle basis for cylinder 2 following 10 and 20&#x02009;min of deactivation are shown in the in Figures S1A,B in Supplementary Material, respectively. Using equation (<xref ref-type="disp-formula" rid="E8">8</xref>), the oil mass accumulated in the combustion chamber of cylinder 2, after being deactivated for 10&#x02009;min, was calculated as 175.4and 243.65&#x02009;mg, an increase relative to the 108.4&#x02009;mg accumulated after 5&#x02009;min of deactivation.</p>
</sec>
<sec id="S5-1-3">
<label>5.1.3</label> <title>Analysis for 30&#x02009;s of CDA</title>
<p>Figure <xref ref-type="fig" rid="F6">6</xref> shows cycle-by-cycle cumulative heat release for cylinder 2 after 30&#x02009;s of CDA. <italic>Q<sub>gross,deactive</sub></italic> is very close to <italic>Q<sub>gross,baseline</sub></italic> for all cycles after reactivation, indicating negligible oil accumulation after 30&#x02009;s of CDA. This is consistent with the heat release profiles of cylinder 2 after reactivation being similar to baseline as shown in Figure <xref ref-type="fig" rid="F7">7</xref>.</p>
<fig id="F6" position="float">
<label>Figure 6</label>
<caption><p><bold>Cumulative heat release per cycle for cylinder 2 after 30&#x02009;s of deactivation in data set 1 at 800&#x02009;rpm, 100&#x02009;ft-lb</bold>.</p></caption>
<graphic xlink:href="fmech-03-00001-g006.tif"/>
</fig>
<fig id="F7" position="float">
<label>Figure 7</label>
<caption><p><bold>Heat release rate for cylinder 2 after 30&#x02009;s of deactivation in data set 1 at 800&#x02009;rpm, 100&#x02009;ft-lb</bold>.</p></caption>
<graphic xlink:href="fmech-03-00001-g007.tif"/>
</fig>
</sec>
</sec>
<sec id="S5-2">
<label>5.2</label> <title>First Fire Readiness</title>
<p>Higher oil accumulation in cylinder 2 could possibly result in misfire or degraded combustion when reactivated. While first fire readiness analysis was conducted for all cylinders, results of the analysis for cylinder 2 are discussed below.</p>
<sec id="S5-2-1">
<label>5.2.1</label> <title>Analysis for 5&#x02009;min of CDA</title>
<p>Figures <xref ref-type="fig" rid="F5">5</xref>A,B also enable analysis of first fire readiness for cylinder 2 following 5&#x02009;min of deactivation. As shown, there is no misfire and only a delay of approximately 1 CAD in the pilot-injected fuel combustion. Figure <xref ref-type="fig" rid="F8">8</xref> is the same as Figure <xref ref-type="fig" rid="F5">5</xref>A with the X-axis changed so that the delayed pilot heat release for cylinder 2 following 5&#x02009;min of deactivation is more clearly seen. The main heat release is very similar to baseline. As discussed above, heat release is distorted later in the profile (between 370 and 400 CAD) due to combustion of oil accumulated in the cylinder. In sum, Figure <xref ref-type="fig" rid="F8">8</xref> demonstrates that cylinder 2 is first fire ready after 5&#x02009;min of deactivation.</p>
<fig id="F8" position="float">
<label>Figure 8</label>
<caption><p><bold>Heat release rate for cylinder 2 after 5&#x02009;min of deactivation showing delayed pilot combustion (zoomed-in version of Figure <xref ref-type="fig" rid="F5">5</xref>A)</bold>.</p></caption>
<graphic xlink:href="fmech-03-00001-g008.tif"/>
</fig>
</sec>
<sec id="S5-2-2">
<label>5.2.2</label> <title>Analysis for 10 and 20&#x02009;min of CDA</title>
<p>The instantaneous heat release profiles for cylinder 2 after 10&#x02009;min of deactivation and 20&#x02009;min of deactivation are shown in the in Figures S2A,B in Supplementary Material, respectively. The results are very similar to the results following 5&#x02009;min of deactivation, namely
<list list-type="simple">
<list-item><label>&#x02013;</label> <p>pilot fuel combustion delayed by approximately 1 CAD,</p></list-item>
<list-item><label>&#x02013;</label> <p>distortion in the main combustion event after &#x0007E;370 CAD as a result of combustion of accumulated oil, and</p></list-item>
<list-item><label>&#x02013;</label> <p>first fire ready.</p></list-item>
</list></p>
</sec>
<sec id="S5-2-3">
<label>5.2.3</label> <title>Analysis for 30&#x02009;s of CDA</title>
<p>Figure <xref ref-type="fig" rid="F7">7</xref> indicates that heat release profile of cylinder 2 following 30&#x02009;s of deactivation is very similar to baseline heat release when cylinder 2 was actively firing. Hence, there are no first fire readiness issues upon reactivation of after cylinder 2 after 30&#x02009;s of CDA.</p>
</sec>
</sec>
<sec id="S5-3">
<label>5.3</label> <title>Complete Data Set 1 at 800&#x02009;rpm, 100&#x02009;ft-lb</title>
<p>In Figure <xref ref-type="fig" rid="F3">3</xref>A, cylinders 1, 2, 3, and 4 clearly show an increase in oil accumulation as CDA duration increases, which is the expected outcome, more oil accumulated for a longer deactivation period. However, cylinders 5 and 6 do not show a clear trend in oil mass accumulation as CDA duration increases.</p>
<p>In the heat release based analysis shown in section <xref ref-type="sec" rid="S3-3">3.3</xref>, it is assumed that any deviation in the heat release of a reactivated cylinder compared to the heat release of the same cylinder when it is actively firing is solely due to the combustion of oil accumulated during CDA. Thus, the oil mass values estimated in this section represent lower bounds on accumulated oil mass since it is possible that some portion of the oil does not burn completely after transition to six-cylinder mode. The cycle-by-cycle cumulative heat release after 20&#x02009;min of CDA for cylinders 5 and 6 are shown in Figures <xref ref-type="fig" rid="F9">9</xref> and <xref ref-type="fig" rid="F10">10</xref> respectively. Both figures indicate very modest amount of oil burning after the first cycle of reactivation. There is a probability that some portion of the accumulated oil escapes into the exhaust stream without burning. This would result in a lower calculated oil mass for such cases.</p>
<fig id="F9" position="float">
<label>Figure 9</label>
<caption><p><bold>Cumulative heat release per cycle for cylinder 5 after 20&#x02009;min of deactivation in data set 1 at 800&#x02009;rpm, 100&#x02009;ft-lb</bold>.</p></caption>
<graphic xlink:href="fmech-03-00001-g009.tif"/>
</fig> <fig id="F10" position="float">
<label>Figure 10</label>
<caption><p><bold>Cumulative heat release per cycle for cylinder 6 after 20&#x02009;min of deactivation in data set 1 at 800&#x02009;rpm, 100&#x02009;ft-lb</bold>.</p></caption>
<graphic xlink:href="fmech-03-00001-g010.tif"/>
</fig>
<p>Cylinders 2 and 4 show higher oil accumulation than the other cylinders for all CDA durations. This suggests that these two cylinders have a less than ideal piston ring seal.</p>
<p>Overall, Figure <xref ref-type="fig" rid="F3">3</xref>A shows that at least half of the number of cylinders showed elevated oil accumulation after 5&#x02009;min of deactivation. No first fire readiness issues were observed for any of the cylinders for any of the CDA durations tested (corresponding additional plots not shown).</p>
</sec>
<sec id="S5-4">
<label>5.4</label> <title>Complete Data Set 2 at 800&#x02009;rpm, 100&#x02009;ft-lb</title>
<p>Similar to data set 1, an increase in oil accumulation was seen as CDA duration increases in data set 2 shown in Figure <xref ref-type="fig" rid="F3">3</xref>B. The corresponding calculated oil mass for different CDA durations are very similar to data set 1, except for cylinder 2. Compared to data set 1, values of calculated oil mass for cylinder 2 in data set 2 are notably higher following 10 and 20&#x02009;min of deactivation.</p>
<p>While cylinder 5 shows the expected trend in oil accumulation in data set 2, higher oil accumulation is calculated for 10and 20&#x02009;min CDA duration compared to data set 1. This is evident in Figure <xref ref-type="fig" rid="F11">11</xref> where <italic>Q<sub>gross,deactive</sub></italic> continues to be higher <italic>Q<sub>gross,baseline</sub></italic> for several engine cycles after reactivation, indicating that the accumulated oil burns in many cycles after reactivation. As such, the calculated oil mass for cylinder 5 after 10and 20&#x02009;min CDA is also higher compared to data set 1. Similar reasoning applies to higher calculated oil mass for cylinder 6 after 10and 20&#x02009;min CDA in data set 2. Calculated oil accumulation in cylinders 4, 5, and 6 after 5&#x02009;min of CDA is lower in data set 2 compared to data set 1. Similar to Figures <xref ref-type="fig" rid="F9">9</xref> and <xref ref-type="fig" rid="F10">10</xref>, there is a probability that some portion of the accumulated oil escapes into the exhaust stream without burning. This would result in a lower calculated oil mass for such cases.</p>
<fig id="F11" position="float">
<label>Figure 11</label>
<caption><p><bold>Cumulative heat release per cycle for cylinder 5 after 10&#x02009;min of deactivation in data set 2 at 800&#x02009;rpm, 100&#x02009;ft-lb</bold>.</p></caption>
<graphic xlink:href="fmech-03-00001-g011.tif"/>
</fig>
<p>No first fire readiness issues were observed for any cylinder in data set 2 at 800&#x02009;rpm, 100&#x02009;ft-lb.</p>
</sec>
<sec id="S5-5">
<label>5.5</label> <title>Complete Data Sets 1 and 2 at 1,200&#x02009;rpm, 100&#x02009;ft-lb</title>
<p>The effect of engine speed on oil accumulation was studied by implementing the test plan in Table <xref ref-type="table" rid="T1">1</xref> at 1,200&#x02009;rpm, 100&#x02009;ft-lb for CDA durations of 0.5, 5, 10, and 20&#x02009;min. Figures <xref ref-type="fig" rid="F12">12</xref>A,B show calculated oil mass values for all cylinders for different CDA durations at 1,200&#x02009;rpm, 100&#x02009;ft-lb. The calculated oil masses do not show a consistent increase in oil mass with deactivation duration. Comparing Figures <xref ref-type="fig" rid="F12">12</xref>A,B with oil masses at 800&#x02009;rpm shown in Figures <xref ref-type="fig" rid="F3">3</xref>A,B, the calculated oil mass for all cylinders is much lower at 1,200&#x02009;rpm than at 800&#x02009;rpm.</p>
<fig id="F12" position="float">
<label>Figure 12</label>
<caption><p><bold>(A)</bold> Calculated oil mass in all cylinders for data set 1 at 1,200&#x02009;rpm, 100&#x02009;ft-lb. <bold>(B)</bold> Calculated oil mass in all cylinders for data set 2 at 1,200&#x02009;rpm, 100&#x02009;ft-lb.</p></caption>
<graphic xlink:href="fmech-03-00001-g012.tif"/>
</fig>
<p>Figure <xref ref-type="fig" rid="F13">13</xref>A illustrates the pressure inside cylinder 2 during normal operation and also toward the end of a 10-min deactivation period, for 1,200&#x02009;rpm, 100&#x02009;ft-lb and 800&#x02009;rpm, 100&#x02009;ft-lb. Figure <xref ref-type="fig" rid="F13">13</xref>A shows that after 10&#x02009;min of deactivation, the in-cylinder pressure drops to nearly one-tenth compared to the actively firing cylinder. As explained previously, this is the cause of oil transport from the crankcase into the combustion chamber of a deactivated cylinder. Although the pressure during CDA at 1,200/100 is higher than at 800/100, the difference is not large enough to result in a significant change in oil accumulation. In addition, a similar trend is not seen for all CDA cases, including cylinder 4 in Figure <xref ref-type="fig" rid="F13">13</xref>B. Lower oil accumulation at 1,200&#x02009;rpm could also be a result of piston ring liner dynamics being different at a higher engine speed. The exact cause of lower calculated oil mass at 1,200/100 is not known.</p>
<fig id="F13" position="float">
<label>Figure 13</label>
<caption><p><bold>(A)</bold> Comparison of pressure in cylinder 2 after 10&#x02009;min of deactivation at 1,200/100 and 800/100. <bold>(B)</bold> Comparison of pressure in cylinder 4 after 10&#x02009;min of deactivation at 1,200/100 and 800/100.</p></caption>
<graphic xlink:href="fmech-03-00001-g013.tif"/>
</fig>
<p>Numerical values for calculated oil mass in each cylinder for data sets 1 and 2 at 800&#x02009;rpm, 100&#x02009;ft-lb are shown in the in Tables S1 and S2 in Supplementary Material respectively and for data sets 1 and 2 at 1,200&#x02009;rpm, 100&#x02009;ft-lb are shown in the in Tables S3 and S4 in Supplementary Material, respectively.</p>
</sec>
</sec>
<sec id="S6">
<label>6</label> <title>Summary</title>
<p>Oil accumulation and first fire readiness analysis of CDA done in this article can be summarized as below:
<list list-type="order">
<list-item><p>Oil accumulation during and first fire readiness following CDA has been studied by comparing heat release profiles of reactivated cylinders with baseline heat release, for all cylinders in both data sets at 800&#x02009;rpm/100&#x02009;ft-lb and 1,200&#x02009;rpm/100&#x02009;ft-lb, with CDA durations 0.5, 5, 10, and 20&#x02009;min.</p></list-item>
<list-item><p>An increase was seen in oil accumulation as CDA duration increased for most of the cylinders, at both speed/load conditions.</p></list-item>
<list-item><p>Values of calculated oil mass were consistent for most of the cases in both the data sets at 800/100 operating condition. Cylinder 2 showed the highest oil accumulation of 487.77&#x02009;mg possibly due to a less than ideal piston ring seal. In some cases, there is a possibility of the accumulated oil escaping into the exhaust stream before combusting over multiple cycles after reactivation, resulting in a lower calculated oil mass.</p></list-item>
<list-item><p>Calculated oil mass for all cylinders at 1,200/100 was much lower than at the corresponding CDA durations at 800/100. The exact cause of this behavior is unknown.</p></list-item>
<list-item><p>Misfire was not observed at either speed/load condition for any CDA duration tested. Although pilot combustion was delayed by 1 CAD after 5, 10, and 20&#x02009;min of CDA, the main heat release appeared close to baseline heat release. As such, all cylinders are first fire ready following prolonged deactivation of 20&#x02009;min.</p></list-item>
<list-item><p>The heat release was mainly distorted later in the profile as oil accumulated. This is distinctly seen for 10 and 20&#x02009;min of CDA, which is consistent with higher oil accumulation in the combustion chamber.</p></list-item>
</list></p>
</sec>
<sec id="S7">
<label>7</label> <title>Future Work</title>
<p>The estimated values of oil accumulated during CDA serve as a proxy for the time the engine can be operated in CDA mode without significant increase in in-cylinder oil accumulation. Piston ring seals of cylinders showing high oil accumulation can be inspected to minimize oil accumulation. A recharge event consisting of an intake valve lift followed by exhaust valve opening can be performed more frequently during prolonged CDA mode. As such, a recharge event increases the pressure inside a deactivated cylinder and is expected to reduce oil accumulation during CDA. A recharge event can also include a small amount of fuel injection such that the combustion increases pressure in a deactivated cylinder and minimizes in-cylinder oil accumulation during CDA. An interesting idea shared by one of the reviewers of this article is the development of a phenomenological model for oil transport using in-cylinder and crank case pressures.</p>
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<sec id="S8" sec-type="author-contributor">
<title>Author Contributions</title>
<p>MH: co-lead on experiments and analysis and lead on writing the manuscript. BP: co-lead on experiments and analysis. DF: assisted with many of the experiments. AR: assisted with all of the experiments. GS: PI for the research effort and graduate advisor for the first three authors. JM, MR, and EK: research sponsor who helped motivate and scope the research.</p>
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<sec id="S9">
<title>Conflict of Interest Statement</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
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<sec id="S10">
<title>Funding</title>
<p>Cummins Inc. and Eaton jointly funded this effort at Purdue University.</p>
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<sec id="S11" sec-type="supplementary-material">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at <uri xlink:href="http://journal.frontiersin.org/article/10.3389/fmech.2017.00001/full&#x00023;supplementary-material">http://journal.frontiersin.org/article/10.3389/fmech.2017.00001/full&#x00023;supplementary-material</uri>.</p>
<supplementary-material xlink:href="Presentation_1.PDF" id="SM1" mimetype="applicationn/PDF" xmlns:xlink="http://www.w3.org/1999/xlink"/>
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