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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="publisher-id">1081659</article-id>
<article-id pub-id-type="doi">10.3389/fmech.2022.1081659</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>Technical and economic evaluation of an engine and irrigation pump using a T-type mixer for natural gas</article-title>
<alt-title alt-title-type="left-running-head">ElHelew et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fmech.2022.1081659">10.3389/fmech.2022.1081659</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>ElHelew</surname>
<given-names>Waleed Kamel</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2144372/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Abdelmaqsoud</surname>
<given-names>Abdallah Mahmoud</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2073024/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>ElBagoury</surname>
<given-names>Khaleed Faran</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2144353/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Shanan</surname>
<given-names>Hayder AbdElHussein</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2071203/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Agricultural Engineering</institution>, <institution>Faculty of Agriculture</institution>, <institution>Ain Shams University</institution>, <addr-line>Cairo</addr-line>, <country>Egypt</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Agricultural Economics</institution>, <institution>Faculty of Agriculture</institution>, <institution>Ain Shams University</institution>, <addr-line>Cairo</addr-line>, <country>Egypt</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Agricultural Machines and Equipment</institution>, <institution>College of Agriculture</institution>, <institution>University of Basrah</institution>, <addr-line>Cairo</addr-line>, <country>Egypt</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/298880/overview">Alpaslan Atmanli</ext-link>, National Defense University, Turkey</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2082964/overview">Dariusz Szpica</ext-link>, Bialystok University of Technology, Poland</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/986175/overview">Haifeng Liu</ext-link>, Tianjin University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Waleed Kamel ElHelew, <email>walid.kamel.elhelew@agr.asu.edu.eg</email>; Hayder AbdElHussein Shanan, <email>haydershanan778@gmail.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Biomechanical Engineering, a section of the journal Frontiers in Mechanical Engineering</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>09</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>8</volume>
<elocation-id>1081659</elocation-id>
<history>
<date date-type="received">
<day>27</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>28</day>
<month>11</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 ElHelew, Abdelmaqsoud, ElBagoury and Shanan.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>ElHelew, Abdelmaqsoud, ElBagoury and Shanan</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) and the copyright owner(s) 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>Energy is regarded as one of the most crucial resources in the industrial process. Numerous measurements were made in the year 2021 in the workshops of the Agricultural Engineering Department, Faculty of Agriculture, Ain Shams University, Egypt, using a gasoline engine (single cylinder with air-cooling) that was used to power an irrigation pump with a discharge diameter of 2 inches, which was manufactured in Egypt. To combine natural gas and air before entering the engine, a variety of mixers were created. Four different types of mixers were employed with iron pipes of various sizes: 90&#xb0; angle T-mixer (T90), 45&#xb0; angle T-mixer (T45), 30&#xb0; angle T-mixer (T30), and venture mixer (VM). The engine shift speeds were set at 1,750, 2,300, 2,900, and 3,500&#xa0;rpm. The water pump was powered by natural gas and gasoline. The findings in this study focused on the evaluation of technical indicators for several types of mixers that combine natural gas and air to power an irrigation pump, where the actual power (braking power) is superior to all types while operating with gasoline (3.07&#xa0;kW). A commensurability on every side the report of on the up steam, in the mixer type (T45) (2.83&#xa0;kW) was 7.8% about than gasoline. The lowest specific fuel consumption (S.fc) for gasoline was 219.025&#xa0;gm/Kw.h at an engine speed of 2,900&#xa0;rpm. The T45 mixer had the lowest S.fc of 234.612&#xa0;gm/KW.h, compared with other types of mixers at an engine speed of 2,900&#xa0;rpm, an increase of 6.6% compared with gasoline. The T45 mixer had the highest pump discharge of 528.133&#xa0;L/min, an increase of 2.1% compared with gasoline. Compared with other types of T-mixers, the T45 mixer had the highest actual hydraulic power of 0.6&#xa0;kW, which was 10.5% lower than that of gasoline. As for the economic indicators, the T90 mixer had the lowest net present value (NPV) of 77219.5, and the T45 mixer had the highest NPV of 106900.7. The mixer-type VM had the lowest benefit&#x2013;cost ratio (B/C) of 1.38, and the T45mixer had the highest B/C of 1.54.</p>
</abstract>
<kwd-group>
<kwd>natural gas</kwd>
<kwd>engine speed</kwd>
<kwd>mixer</kwd>
<kwd>economic</kwd>
<kwd>specific fuel consumption</kwd>
<kwd>pump&#x2019;s discharge</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Energy plays a vital role in rural development. However, the price of oil has crossed $100 per barrel in the international market and is expected to rise further. A large proportion of the energy used is from oil, but an alternative to partial or total energy consumption is determined by the substation. Alternative energy sources must be economically viable and environmentally friendly. In recent years, the use of cleaner alternative fuels such as natural gas, methanol, and hydrogen has become more popular, as a solution to environmental problems including the global warming and shortage of crude oil reserves in the world. Reduction in power is one of the important issues in converting a gasoline engine to CNG (<xref ref-type="bibr" rid="B5">Fathollah et al., 2013</xref>). Alternatives to petroleum-derived fuels for internal combustion engines must be developed due to the depletion of fossil fuel resources. Since compressed natural gas (CNG) is far more plentiful than petroleum, it can be a great alternative fuel (<xref ref-type="bibr" rid="B3">Andrei et al., 2019</xref>). It has a high H/C ratio and a high research octane number, leading to cleaner exhaust gasses than those produced by classic fuel combustion. It also has high anti-knocking proprieties but lower flame speed and shorter flammability range (<xref ref-type="bibr" rid="B8">Ma et al., 2010</xref>). Due to its relatively high octane number, natural gas has recently been seen as a clean alternative fuel for spark-ignition (SI) engines. In comparison with gasoline, the thermal efficiency and emissions would have increased with the mild burning of natural gas, which is primarily composed of methane, in SI engines. Natural gas enables higher pressure ratio combustion without banging thanks to its high research octane number (RON) of over 120. Due to its high hydrogen-to-carbon ratio, it also emits far less CO<sub>2</sub> than conventional hydrocarbon fuels (<xref ref-type="bibr" rid="B11">Saad et al., 2014</xref>). The combustion cycle is the most significant and complicated step in the SI four-stroke engine. The fact that the chemical energy of the fuel is transformed into thermal energy during this cycle has a substantial impact on engine performance and pollutant emissions. The duration of combustion is a crucial factor in determining the best combustion process during the combustion cycle. When the combustion time is too lengthy, more thermal energy is wasted due to a longer heat transfer time to the cylinder and piston, or when the combustion time is too short, the fuel will not be entirely burned, preventing the fuel&#x2019;s chemical energy from being fully transformed into heat energy (<xref ref-type="bibr" rid="B10">Nguyen et al., 2019</xref>). A comprehensive review of natural gas as a transportation fuel which is a promising alternative fuel is needed. Although port-injected CNG technology has been tried and tested, it has not become as popular as conventional fuels. One of the reasons besides the lack of infrastructure and refueling stations is the lower torque and power output compared with gasoline in bivalent vehicles. This is due to lower volumetric efficiency as gaseous fuels replace incoming fresh air resulting in lower torque and power (<xref ref-type="bibr" rid="B6">Khan et al., 2016</xref>). Mixing devices used in gas engines, generally referred to as carburetors, for mixing air and gaseous fuels are commonly attached to the intake manifold of an internal combustion engine. In a gas carburetor, the mixing of air and gaseous fuels needs to be in a proper ratio for a particular engine load and speed. In designing the producer gas carburetor, simplicity and ruggedness have always been considered as a basic requirement to achieve easy adjustment and reproducible performance (<xref ref-type="bibr" rid="B4">Ani et al., 2006</xref>). At a wide throttle position, brake power, torque, and mean effective pressure are typically higher for gasoline and CNG, while CNG operation results in lower brake power, torque, and mean effective pressure. Around low speeds and high speeds, CNG emits less NO, but at 3,000&#x2013;3,500&#xa0;rpm, the emission rises. Compared with gasoline, CNG was proven to have lower CO emissions (Saad et al., 2014). Internal combustion engine power and torque are primarily influenced by the mass of the fuel mixture in the engine&#x2019;s cylinders and, of course, the fuel&#x2019;s composition. Therefore, compared with other engine parameters, volumetric efficiency plays one of the most crucial roles when dealing with diverse fuel qualities in the same engine (<xref ref-type="bibr" rid="B13">Sulaiman et al., 2013</xref>). When the distance between the mixer and the input manifold is small and the mixing time is sufficient, mixing chambers with a higher volume than just a T-joint tube allow longer air and fuel retention time within the chamber. Because the flow velocities are relatively lower, more time may be spent mixing, allowing for the use of a straightforward mixing chamber. Biomethane will be used directly in natural gas engines. Although biomethane is a cleaner fuel than biogas and could be carried across a farm more readily, using biogas to power pumps rather than converting the pumps to run on biomethane is probably still more economical. When compared with gasoline and kerosene, biogas offers a cheap alternative fuel that offers a greater total pump efficiency (58% at 2,500&#xa0;rpm engine speed). Biogas is used to power an SI engine that powers a water irrigation pump (<xref ref-type="bibr" rid="B1">Abdel-Galil et al., 2008</xref>). The main representative exothermic reactions (REXRs) within the high heat release (HHR) region and the dominant formation reactions of CH<sub>2</sub>O and OH, which are known as the indicators of low heat release (LHR) and high heat release (HHR), respectively, were not significantly affected by the more advanced NG start-of-injection (SOI) timing, which resulted in a higher heat release rate (HRR) (<xref ref-type="bibr" rid="B7">Li et al., 2021</xref>).</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<p>This article presents the results for the types of mixers used in mixing natural gas with air to operate the irrigation pump. It was produced in the workshop of the Department of Agricultural Engineering/Faculty of Agriculture, Ain Shams University, in Egypt. The following materials and methods were used.</p>
<sec id="s2-1">
<title>2.1 Equipment and instrument</title>
<sec id="s2-1-1">
<title>2.1.1 Engine</title>
<p>A single-cylinder model: AP17OF, air-cooled 4-stroke OHV single cylinder, spark-ignition (SI), bore &#xd7; stroke: 70 &#xd7; 54, displacement: 208 cc, starting system: recoil, compression ratio: 8.5:1, and carburetor type: butterfly.</p>
</sec>
<sec id="s2-1-2">
<title>2.1.2 The pump</title>
<p>A pump model: SE-50X, type: SE-50X-BDM-0, connection Dia: 2 inch, delivery volume: 560&#xa0;L/min, and total head: 30&#xa0;m. It was manufactured in Egypt.</p>
</sec>
</sec>
<sec id="s2-2">
<title>2.2 Engine modifications</title>
<p>The conversion of the SI (spark-ignition) engine to use natural gas fuel included engine modifications where a gas mixer was used and several types of mixers were manufactured to mix natural gas with air before entering the engine. It was manufactured in the workshop of the Agricultural Engineering Department, Agriculture Faculty, Ain Shams University, in Egypt, using an iron pipe with a diameter of 2.54&#xa0;cm, length of 20&#xa0;cm, and thickness of 0.27&#xa0;cm, and it was welded in the middle with another pipe with a diameter of 1&#xa0;cm and thickness of 0.27&#xa0;cm. The small pipe was welded with different angles for natural gas entry, as shown in <xref ref-type="fig" rid="F1">Figure 1</xref>. The mixer was fixed to the motor using screws. The types of mixers were as follows:<list list-type="simple">
<list-item>
<p>&#x2022; <italic>Mixer T-angle 90&#xb0; (T90)</italic>
<bold>,</bold> where the pipe angle was 90&#xb0;, as shown in <xref ref-type="fig" rid="F2">Figure 2A</xref>.</p>
</list-item>
<list-item>
<p>&#x2022; <italic>Mixer T-angle 45&#xb0; (T45)</italic>
<bold>,</bold> where the pipe angle was 45&#xb0;, as shown in <xref ref-type="fig" rid="F2">Figure 2B</xref>.</p>
</list-item>
<list-item>
<p>&#x2022; <italic>Mixer T-angle 30&#xb0; (T30)</italic>
<bold>,</bold> where the pipe angle was 30&#xb0;, as shown in <xref ref-type="fig" rid="F2">Figure 2C</xref>.</p>
</list-item>
<list-item>
<p>&#x2022; <italic>Venture mixer (VM):</italic> It is a mixer made of plastic with a length of 27.8&#xa0;cm and a diameter of 5.08&#xa0;cm that contains a waistline in the middle with a diameter of 2.54&#xa0;cm, and a tube with a diameter of 2.54&#xa0;cm is installed in this waistline, as shown in <xref ref-type="fig" rid="F2">Figure 2D</xref>. This mixer is installed in the engine to mix gas with air, where the gas enters through the small tube in the middle, and thus, the mixture enters the engine, as shown in <xref ref-type="fig" rid="F3">Figure 3</xref>. The pressure was approximated in various ways; we used a gas pressure regulator in order to determine the pressure of the gas leaving the cylinder and reduce it to suit the operation of the engine. The regulator measured high pressure (300&#xa0;bar) and low pressure (16&#xa0;bar). <xref ref-type="bibr" rid="B12">Salave et al. (2017</xref>) reported the following for high air flow rate:</p>
</list-item>
<list-item>
<p>1. The velocity of air is high.</p>
</list-item>
<list-item>
<p>2. Due to the contracted cross-section, air pressure is low.</p>
</list-item>
<list-item>
<p>3. The pressure difference between fuel gas and airstream is high.</p>
</list-item>
<list-item>
<p>4. Much fuel gas flows through the openings to mix with the airstream. Bernoulli&#x2019;s equation for pressure difference is given by</p>
</list-item>
</list>
<disp-formula id="equ1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="bold-italic">V</mml:mi>
<mml:mn mathvariant="bold">1</mml:mn>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msubsup>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mi mathvariant="bold-italic">V</mml:mi>
<mml:mn mathvariant="bold">2</mml:mn>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:msubsup>
<mml:mtext>&#xa0;</mml:mtext>
</mml:mrow>
<mml:mn mathvariant="bold">2</mml:mn>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="bold-italic">&#x3c1;</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Types of gas mixers.</p>
</caption>
<graphic xlink:href="fmech-08-1081659-g001.tif"/>
</fig>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Schematic diagram of the types of gas mixers.</p>
</caption>
<graphic xlink:href="fmech-08-1081659-g002.tif"/>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Simplified diagram of a natural gas engine for powering a water irrigation pump.</p>
</caption>
<graphic xlink:href="fmech-08-1081659-g003.tif"/>
</fig>
</sec>
</sec>
<sec id="s3">
<title>3 Experimental procedures and measurements</title>
<p>To assess the effect of experimental factors and the performance of the engine and pump work using different types of fuel (gasoline&#x2013;natural gas) at different engine speeds and for all types of mixers, with respect to operating the engine with natural gas, the operation was started with gasoline fuel by closing the gasoline valve and opening the gas valve gradually until the operation of the engine with gas stabilized naturally.</p>
<p>After preparing the engine and filling it with fuel, each water barrel with a capacity of 200&#xa0;L and the tank of disposal measurement (40&#xa0;L) was prepared and water hoses (the intake hose and the push hose) with a length of 3&#xa0;m were installed for each of them with a valve with a diameter of 5.08&#xa0;cm at the beginning of the push hose to control the amount of water leaving the pump. The engine was started with gasoline to determine the four shaft speeds (1,750&#xa0;rpm, 2,300&#xa0;rpm, 2,900&#xa0;rpm, and 3,500&#xa0;rpm) using the engine speed-measuring device.</p>
<sec id="s3-1">
<title>3.1 Engine power</title>
<p>Actual engine power was calculated by measuring engine torque using the Prony brake; the net power of an engine was the power delivered at crankshaft; and the power developed from engine was calculated by using the following equation:<disp-formula id="equ2">
<mml:math id="m2">
<mml:mrow>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="bold-italic">T</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi mathvariant="bold-italic">&#x3c9;</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn mathvariant="bold">2</mml:mn>
<mml:mi mathvariant="bold-italic">&#x3c0;</mml:mi>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mi mathvariant="bold-italic">n</mml:mi>
<mml:mi mathvariant="bold-italic">W</mml:mi>
<mml:mi mathvariant="bold-italic">L</mml:mi>
</mml:mrow>
<mml:mn mathvariant="bold">1000</mml:mn>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>where <italic>P</italic> is the power (kW), <italic>n</italic> is the speed of the pulley (rpm), <italic>W</italic> is the load registered by the spring balance (N), <italic>L</italic> is the length of the brake arm (m), <italic>T</italic> is the torque arm (N), and <italic>&#x3c9;</italic> is the angular speed (rev./s).</p>
</sec>
<sec id="s3-2">
<title>3.2 Fuel consumption</title>
<p>The rate of gasoline fuel consumption was measured and the pump was operated with load for all engine shaft speeds, and the amount of fuel (gasoline) consumed per unit time was calculated.</p>
<p>The rate of gas fuel consumption (natural gas) was measured by placing a wind speed-measuring device on the gas hose between the gas cylinder and the gas entry hole for all types of mixers, where the cross-sectional area and the gas flow speed to determine the amount of gas entering the engine were calculated, and the following equations were used to calculate the fuel consumption rate (Macmillan, 2002): F<sub>BC</sub> &#x3d; (V/t) &#xd7; 0.0036,where <italic>V</italic> is the volume of consumed gas fuel (cm<sup>3</sup>), <italic>t</italic> is the time of operation (s), and F<sub>Bc</sub> is the rate of gas fuel consumption (m<sup>3</sup>/h).<disp-formula id="equ4">
<mml:math id="m3">
<mml:mrow>
<mml:mi mathvariant="bold-italic">s</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi mathvariant="bold-italic">f</mml:mi>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="bold-italic">F</mml:mi>
<mml:mi mathvariant="bold-italic">C</mml:mi>
</mml:mrow>
<mml:mi mathvariant="bold-italic">P</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>where <italic>s.fc</italic> is the specific fuel consumption (gm/kw.h), <italic>FC</italic> is the fuel consumption (gm/h), and <italic>P</italic> is the power (kw).</p>
</sec>
<sec id="s3-3">
<title>3.3 Pump discharge performance</title>
<p>Pump performance was measured using different fuels (gasoline/natural gas (gasoline starting) at different engine shaft speeds by placing the intake hose in a barrel with a water capacity of 200 L and the outlet (push) hose in the tank to measure the discharge and control the amount of water leaving the valve, by calculating the pump discharge performance Q (m<sup>3</sup>/s) and taking a reading for each of them (0.1&#xa0;bar).</p>
</sec>
<sec id="s3-4">
<title>3.4 The actual power of water pump</title>
<p>The actual pump power was measured for different types of fuels (gasoline&#x2013;natural gas) for all types of mixers at different engine speeds and for each pressure (0.1&#xa0;bar), where, after calculating the pump discharge performance Q (m<sup>3</sup>/s) and pressure (P), the actual pump power was calculated (hydraulic power) using the following equation:<disp-formula id="equ5">
<mml:math id="m4">
<mml:mrow>
<mml:mi mathvariant="bold-italic">H</mml:mi>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="bold-italic">&#x3c1;</mml:mi>
<mml:mo>.</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi mathvariant="bold-italic">Q</mml:mi>
<mml:mo>.</mml:mo>
<mml:mi mathvariant="bold-italic">h</mml:mi>
</mml:mrow>
<mml:mi mathvariant="bold-italic">&#x3b7;</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>where P is the hydraulic power or useful water power (kW), &#x3c1; is the water density (kg/m<sup>3</sup>), g is the gravitational acceleration (m/s<sup>2</sup>), Q is the pump discharge (m<sup>3</sup>/s), H is the total head of the system (m), and &#x3b7; is the efficiency.</p>
</sec>
<sec id="s3-5">
<title>3.5 Economic indicators</title>
<p>Net present value (NPV) is used to analyze the profitability of a project or investment. It is calculated by the difference between the present value of cash inflows and the present value of cash outflows during the life of the project (from the project over its life) (Willis et al., 2018). Benefit&#x2013;cost ratio (B/C) is used to analyze the profitability of a project or investment. It is calculated by dividing the present value of the cash inflows and the present value of the cash outflows during the life of the project. The following equations were used to calculate B/C and NPV:<list list-type="simple">
<list-item>
<p>B/C &#x3d; total present benefits/total present costs</p>
</list-item>
<list-item>
<p>NPV &#x3d; total present benefits &#x2212; total present costs</p>
</list-item>
<list-item>
<p>PV &#x3d; FVX (1/(1 &#x2b; r)<sup>n</sup>)</p>
</list-item>
<list-item>
<p>PV &#x3d; present value</p>
</list-item>
<list-item>
<p>FV &#x3d; future value</p>
</list-item>
<list-item>
<p>r &#x3d; discount rate</p>
</list-item>
<list-item>
<p>n &#x3d; number of years</p>
</list-item>
<list-item>
<p>(1/(1 &#x2b; r) n) &#x3d; present value coefficient</p>
</list-item>
</list>
</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s4">
<title>4 Results and discussion</title>
<p>The results here dealt with the analysis of technical indicators for the types of mixers used in mixing natural gas with air to operate the irrigation pump to save energy, and the analysis of the economic indicators for operating the irrigation pump was carried out.</p>
</sec>
<sec id="s5">
<title>4.1 Technical indicators</title>
<sec id="s5-1">
<title>4.1.1 Engine power</title>
<p>
<xref ref-type="fig" rid="F4">Figure 4</xref> shows the relationship between engine speed and actual power (braking power) for gasoline, T30, T45, T90, and VM. The results guarantee that the relationship between engine speed and actual power is a quadratic relationship. During the design of the drivetrain, it is necessary to determine the engine power output and torque as a function of engine speed (full-load characteristics) assuming maximum power output, engine speed, and type of fueling system as the input data (<xref ref-type="bibr" rid="B14">Szpica, 2019</xref>). As we noted with the increase in the engine speed, the power increased in all types of mixers. The actual power was superior to all types when operating with gasoline, which was 3.07&#xa0;kW at an engine speed of 3,500&#xa0;rpm. In comparison, the use of natural gas, where the T45 mixer gave the highest power compared with the other types of mixers (2.83 kW) at an engine speed of 3500 rpm, was 7.8% less than gasoline. This is due to reduced volumetric efficiency as the gaseous fuel displaces incoming fresh air resulting in reduced peak torque and power; this is consistent with the finding of <xref ref-type="bibr" rid="B6">Khan et al. (2016</xref>). The higher the engine speed, the higher the actual pump power in all types of mixers; this is consistent with the result of <xref ref-type="bibr" rid="B2">Ahmet and Rasim (2021</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>The relationship between engine speed and braking power for all types of mixers (gasoline, T30, T45, T90, and VM).</p>
</caption>
<graphic xlink:href="fmech-08-1081659-g004.tif"/>
</fig>
</sec>
<sec id="s5-2">
<title>4.1.2 Specific fuel consumption</title>
<p>
<xref ref-type="fig" rid="F5">Figure 5</xref> shows the relationship between engine speed and specific fuel consumption (S.fc) for gasoline, T30, T45, T90, and VM. The relationship between engine speed and specific fuel consumption is of a quadratic function type. When the engine speed is increased, the specific fuel consumption decreases, and the values were 226.109, 533.121, 316.898, 373.209, and 754.596&#xa0;gm/kW.h; when using mixers (gasoline, T30, T45, T90, and VM), the engine speed was 3,500&#xa0;rpm.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>The relationship between engine speed and specific fuel consumption for gasoline, T30, T45, T90, and VM.</p>
</caption>
<graphic xlink:href="fmech-08-1081659-g005.tif"/>
</fig>
<p>The specific fuel consumption rate ranged from 265.727 to 219.025&#xa0;gm/kW.h for gasoline compared with 778.583&#x2013;234.612&#xa0;gm/kW.h for natural gas. We note a decrease in fuel consumption with increasing engine speed, which is consistent with <xref ref-type="bibr" rid="B9">Mika et al. (2022</xref>). The lowest S.fc for gasoline was 219.025&#xa0;gm/KW.h at an engine speed of 2,900&#xa0;rpm. The T45 mixer had the lowest S.fc of 234.612&#xa0;gm/KW.h compared with other types of mixers at an engine speed of 2,900&#xa0;rpm, an increase of 6.6% compared with gasoline.</p>
<p>
<xref ref-type="fig" rid="F6">Figure 6</xref> shows the specific fuel consumption (S.fc) for gasoline, T30, T45, T90, and VM at an engine speed of 2,900&#x2013;3,500&#xa0;rpm. The results guarantee that specific fuel consumption for the VM mixer (754.596&#xa0;gm/kW.h) was more than that of gasoline (226.109&#xa0;gm/kW.h) by 70% at an engine speed of 3,500&#xa0;rpm. The lowest specific fuel consumption of 316.898&#xa0;gm/kW.h was obtained for the T45 mixer compared with the other T mixers , an increase of 28.6% compared with gasoline at an engine speed of 3,500&#xa0;rpm. The lowest S.fc at an engine speed of 2,900 using gasoline was 219.025&#xa0;gm/kW.h, and while using natural gas, it was 234.613&#xa0;gm/kW.h for the T45 mixer.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Specific fuel consumption for all types of mixers at the engine speed of 2,900&#x2013;3,500&#xa0;rpm.</p>
</caption>
<graphic xlink:href="fmech-08-1081659-g006.tif"/>
</fig>
</sec>
<sec id="s5-3">
<title>4.2 Pump indicators</title>
<sec id="s5-3-1">
<title>4.2.1 Power and discharge of the pump using gasoline</title>
<p>
<xref ref-type="fig" rid="F7">Figure 7</xref> shows the relationship between pump discharge and power and pump pressure for gasoline operating at an engine speed of 3,500&#xa0;rpm, where the results guarantee that the relationship between pressure and pump discharge is inverse, as the higher the pressure, the lower the pump discharge. The maximum discharge using gasoline was 32.38&#xa0;m<sup>3</sup>/h at a pressure of 0.2&#xa0;bar, and the minimum discharge was 5.66&#xa0;m<sup>3</sup>/h at a pressure of 1.8&#xa0;bar.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>The relationship between discharge, pressure, and hydraulic power of a pump operating with gasoline at an engine speed of 3,500&#xa0;rpm.</p>
</caption>
<graphic xlink:href="fmech-08-1081659-g007.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F7">Figure 7</xref> shows the relationship between pump discharge and actual hydraulic power to operate using gasoline at an engine speed of 3,500&#xa0;rpm. The results guarantee that the relationship between pump discharge and actual power is a quadratic relationship. As the pump discharge increases, the actual hydraulic power increases. The maximum actual hydraulic power was 0.89&#xa0;kW at a pump discharge of 21.97&#xa0;m<sup>3</sup>/h. When the pump pressure was 1&#xa0;bar, the discharge was 23.5&#xa0;m<sup>3</sup>/h and the hydraulic power was 0.87&#xa0;kW. When the pump pressure was 1.7&#xa0;bar, the discharge was 8.3&#xa0;m<sup>3</sup>/h and the hydraulic power was 0.52&#xa0;kW.</p>
</sec>
<sec id="s5-3-2">
<title>4.2.2 Power and discharge of the pump using the T30 mixer</title>
<p>
<xref ref-type="fig" rid="F8">Figure 8</xref> shows the relationship between pump discharge and power and pump pressure for the T30 mixer operating at an engine speed of 3,500&#xa0;rpm where the results guarantee that the relationship between pressure and pump discharge is inverse, as the higher the pressure, the lower the pump discharge. The maximum discharge using the T30 mixer was 32.46&#xa0;m<sup>3</sup>/h at a pressure of 0.2 bar, and the minimum discharge was 5&#xa0;m<sup>3</sup>/h at a pressure of 1.8&#xa0;bar.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>The relationship between discharge, pressure, and hydraulic power of a pump operating with the T30 mixer at an engine speed of 3,500&#xa0;rpm.</p>
</caption>
<graphic xlink:href="fmech-08-1081659-g008.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F8">Figure 8</xref> shows the relationship between pump discharge and actual hydraulic power to operate using the T30 mixer at an engine speed of 3,500&#xa0;rpm, where the results guarantee that the relationship between pump discharge and actual power is a quadratic relationship. As the pump discharge increases, the actual hydraulic power increases. The maximum actual hydraulic power was 0.764&#xa0;kW at a pump discharge of 17.24&#xa0;m<sup>3</sup>/h. When the pump pressure was 1&#xa0;bar, the discharge was 18.95&#xa0;m<sup>3</sup>/h and the hydraulic power was 0.7&#xa0;kW. When the pump pressure was 1.7 bar, the discharge was 6.77&#xa0;m<sup>3</sup>/h and the hydraulic power was 0.42&#xa0;kW. This is suitable for the operation of the drip and sprinkler irrigation system.</p>
</sec>
<sec id="s5-3-3">
<title>4.2.3 Power and discharge of the pump using the T45 mixer</title>
<p>
<xref ref-type="fig" rid="F9">Figure 9</xref> shows the relationship between pump discharge and power and pump pressure for the T45 mixer operating at an engine speed of 3,500&#xa0;rpm, where the results guarantee that the relationship between pressure and pump discharge is inverse, as the higher the pressure, the lower the pump discharge. The maximum discharge using the T45 mixer was 33.09&#xa0;m<sup>3</sup>/h at a pressure of 0.2&#xa0;bar, and the minimum discharge was 3.6&#xa0;m<sup>3</sup>/h at a pressure of 1.8&#xa0;bar.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>The relationship between discharge, pressure, and hydraulic power of a pump operating with the T45 mixer at an engine speed of 3,500&#xa0;rpm.</p>
</caption>
<graphic xlink:href="fmech-08-1081659-g009.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F9">Figure 9</xref> shows the relationship between pump discharge and the actual hydraulic power to operate using the T45 mixer at an engine speed of 3,500&#xa0;rpm, where the results guarantee that the relationship between pump discharge and actual power is a quadratic relationship. As the pump discharge increases, the actual hydraulic power increases. The maximum actual hydraulic power was 0.798&#xa0;kW at a pump discharge of 19.65&#xa0;m<sup>3</sup>/h. When the pump pressure was 1&#xa0;bar, the discharge was 20.44&#xa0;m<sup>3</sup>/h and the hydraulic power was 0.755&#xa0;kW. When the pump pressure was 1.7&#xa0;bar, the discharge was 4.5&#xa0;m<sup>3</sup>/h and the hydraulic power was 0.28&#xa0;kW.</p>
</sec>
<sec id="s5-3-4">
<title>4.2.4 Power and discharge of the pump using the T90 mixer</title>
<p>
<xref ref-type="fig" rid="F10">Figure 10</xref> shows the relationship between pump discharge and power and pump pressure for the T90 mixer operating at an engine speed of 3,500&#xa0;rpm, where the results guarantee that the relationship between pressure and pump discharge is inverse, as the higher the pressure, the lower the pump discharge. The maximum discharge using the T90 mixer was 29.88&#xa0;m<sup>3</sup>/h at a pressure of 0.2 bar, and the minimum discharge was 2.08&#xa0;m<sup>3</sup>/h at a pressure of 1.8&#xa0;bar.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>The relationship between discharge, pressure, and hydraulic power of a pump operating with the T45 mixer at an engine speed of 3,500&#xa0;rpm.</p>
</caption>
<graphic xlink:href="fmech-08-1081659-g010.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F10">Figure 10</xref> shows the relationship between pump discharge and the actual hydraulic power to operate using the T90 mixer at an engine speed of 3,500&#xa0;rpm, where the results guarantee that the relationship between pump discharge and actual power is a quadratic relationship. As the pump discharge increases, the actual hydraulic power increases. The maximum actual hydraulic power was 0.738&#xa0;kW at a pump discharge of 18.17&#xa0;m<sup>3</sup>/h. When the pump pressure was 1&#xa0;bar, the discharge was 19.56&#xa0;m<sup>3</sup>/h and the hydraulic power was 0.722&#xa0;kW. When the pump pressure was 1.7 bar, the discharge was 5.61&#xa0;m<sup>3</sup>/h and the hydraulic power was 0.35&#xa0;kW.</p>
</sec>
<sec id="s5-3-5">
<title>4.2.5 Power and discharge of the pump using the mixer-type VM</title>
<p>
<xref ref-type="fig" rid="F11">Figure 11</xref> shows the relationship between pump discharge and power and pump pressure for the mixer VM operating at an engine speed of 3,500&#xa0;rpm, where the results guarantee the relationship between pressure and pump discharge is inverse, as the higher the pressure, the lower the pump discharge. The maximum discharge using the VM mixer was 31.69&#xa0;m<sup>3</sup>/h at a pressure of 0.2&#xa0;bar, and the minimum discharge was 1.85&#xa0;m<sup>3</sup>/h at a pressure of 1.8&#xa0;bar.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>The relationship between discharge, pressure, and hydraulic power of a pump operating with the VM mixer at an engine speed of 3,500&#xa0;rpm.</p>
</caption>
<graphic xlink:href="fmech-08-1081659-g011.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F11">Figure 11</xref> shows the relationship between pump discharge and actual hydraulic power to operate using the mixer VM at an engine speed of 3,500&#xa0;rpm, where the results guarantee that the relationship between pump discharge and actual power is a quadratic relationship. As the pump discharge increases, the actual hydraulic power increases. The maximum actual hydraulic power was 0.705&#xa0;kW at a pump discharge of 23.88&#xa0;m<sup>3</sup>/h. When the pump pressure was 1&#xa0;bar, the discharge rate was 18.9&#xa0;m<sup>3</sup>/h and the hydraulic power was 0.698&#xa0;kW. When the pump pressure was 1.7 bar, the discharge was 3.79&#xa0;m<sup>3</sup>/h and the hydraulic power was 0.237&#xa0;kW.</p>
<p>The highest pump discharge was found with the T45 mixer (33.09&#xa0;m<sup>3</sup>/h), an increase of 2.1% compared with gasoline at an engine speed of 3,500&#xa0;rpm. The highest actual hydraulic power with the T45 mixer compared with other types of T-mixers (0.798&#xa0;kW) was 10.5% lower than that of gasoline.</p>
</sec>
</sec>
</sec>
<sec id="s6">
<title>5 Economic indicators</title>
<sec id="s6-1">
<title>5.1 Net present value (NPV)</title>
<p>Net present value is used to analyze the profitability of a project or investment. <xref ref-type="fig" rid="F12">Figure 12</xref> shows net present value (NPV) with a load for gasoline, T30, T45, T90, and VM, where we noted that the mixer type T90 had the lowest NPV of 77,219.5 and the T45 mixer had the highest NPV of 106,900.7, an increase of 21% compared with gasoline.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Net present value (NPV) for all types of mixers (gasoline, T30, T45, T90, and VM).</p>
</caption>
<graphic xlink:href="fmech-08-1081659-g012.tif"/>
</fig>
</sec>
<sec id="s6-2">
<title>5.2 Benefit&#x2013;cost ratio (B/C)</title>
<p>Benefit&#x2013;cost ratio is used to analyze the profitability of a project or investment. <xref ref-type="fig" rid="F13">Figure 13</xref> shows benefit&#x2013;cost ratio (B/C) with a load for gasoline, T30, T45, T90, and VM, where we noted that the mixer type VM had the lowest B/C of 1.38, and the T45 mixer had the highest B/C of 1.54, an increase of 3.9% compared with gasoline.</p>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>Benefit&#x2013;cost ratio (B/C) for all types of mixers (gasoline, T30, T45, T90, and VM).</p>
</caption>
<graphic xlink:href="fmech-08-1081659-g013.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="conclusion" id="s7">
<title>6 Conclusion</title>
<p>In this article, an intensive study was presented to solve the deterioration of fuel economy by using natural gas. The goal of this study was to improve the fuel/air mixing and combustion process, and the main conclusions of this study can be summarized as follows:<list list-type="simple">
<list-item>
<p>1. Gasoline engines can be converted to work with natural gas with an efficiency of up to 89.5%. Through this research, a T-type mixer was used to mix natural gas with air.</p>
</list-item>
<list-item>
<p>2. The highest pump discharge was obtained with the T45 mixer (33.09&#xa0;m<sup>3</sup>/h), an increase of 2.1% compared with gasoline at an engine speed of 3,500&#xa0;rpm.</p>
</list-item>
<list-item>
<p>3. The highest actual hydraulic power was obtained with the T45 mixer compared with the other types of T-mixers (0.798&#xa0;kW), which was 10.5% lower than that of gasoline.</p>
</list-item>
<list-item>
<p>4. It is recommended to use a T-type mixer with a gas mixing angle of 45&#xb0; to reduce fuel consumption and increase the actual hydraulic power.</p>
</list-item>
<list-item>
<p>5. As for the economic indicators, the use of natural gas gave a good economic return for all mixers, and the best economic efficiency was for the T45 mixer, an increase of 21% compared with gasoline.</p>
</list-item>
</list>
</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s8">
<title>Data availability statement</title>
<p>The datasets presented in this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found in the article/supplementary material.</p>
</sec>
<sec id="s9">
<title>Author contributions</title>
<p>All authors listed have made a substantial, direct, and intellectual contribution to the work and approved it for publication.</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</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>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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