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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Manuf. Technol.</journal-id>
<journal-title>Frontiers in Manufacturing Technology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Manuf. Technol.</abbrev-journal-title>
<issn pub-type="epub">2813-0359</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1410292</article-id>
<article-id pub-id-type="doi">10.3389/fmtec.2024.1410292</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Manufacturing Technology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Investigating the efficiency of mixtures based on supercritical <inline-formula id="inf1">
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</inline-formula> and lubricants by friction tests under conditions similar to the machining of Ti6Al4V</article-title>
<alt-title alt-title-type="left-running-head">Koulekpa 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/fmtec.2024.1410292">10.3389/fmtec.2024.1410292</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Koulekpa</surname>
<given-names>Koffi Samuel</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2425389/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Benked-Dar</surname>
<given-names>Chadi</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/2751349/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/validation/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Elias-Birembaux</surname>
<given-names>H&#xe9;l&#xe8;ne</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Rossi</surname>
<given-names>Fr&#xe9;d&#xe9;ric</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Poulachon</surname>
<given-names>G&#xe9;rard</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
</contrib-group>
<aff>
<institution>Arts et M&#xe9;tiers Institute of Technology</institution>, <institution>LaBoMaP</institution>, <institution>Universit&#xe9; Bourgogne Franche-Comt&#xe9;</institution>, <addr-line>Cluny</addr-line>, <country>France</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/1383010/overview">Vincent Wagner</ext-link>, &#xc9;cole Nationale d&#x2019;Ing&#xe9;nieurs de Tarbes, France</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/1388517/overview">Tom Slatter</ext-link>, Loughborough University, United Kingdom</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1266895/overview">Munish Gupta</ext-link>, Shandong University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Koffi Samuel Koulekpa, <email>koffi.koulekpa@ensam.eu</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>31</day>
<month>10</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>4</volume>
<elocation-id>1410292</elocation-id>
<history>
<date date-type="received">
<day>31</day>
<month>03</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>30</day>
<month>09</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Koulekpa, Benked-Dar, Elias-Birembaux, Rossi and Poulachon.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Koulekpa, Benked-Dar, Elias-Birembaux, Rossi and Poulachon</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>New supercritical carbon dioxide (<inline-formula id="inf2">
<mml:math id="m2">
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<mml:msub>
<mml:mrow>
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<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
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</mml:msub>
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</mml:math>
</inline-formula>)-based cutting fluids combining the cooling from <inline-formula id="inf3">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">c</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
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</mml:msub>
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</inline-formula> and lubrication from various additives are investigated in this study. Selected components, including ionic liquids, vegetable and mineral oils, water, and PEG, were introduced into supercritical <inline-formula id="inf4">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
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<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
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</inline-formula>, and tribological tests were performed on a CNC lathe to analyze their influence on Ti6Al4V/WC-Co contact. Forces and temperatures were recorded to compare the perfomances of the sc<inline-formula id="inf5">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>-lubricant mixtures for future use in machining. The analysis of the apparent friction coefficient and sticking zone showed a noticeable decrease by ionic liquids when combined with sc<inline-formula id="inf6">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> at a speed of 100&#xa0;m/min and 4&#xa0;mL/min delivery flow rate. The other lubricants (water and PEG vegetable oils) performed similarly to standard mineral oil and are less expensive, which could help in developing future low-cost yet effective cooling and lubrication methods for the machining industry.</p>
</abstract>
<kwd-group>
<kwd>tribology</kwd>
<kwd>cryogenic cutting</kwd>
<kwd>supercritical CO<sub>2</sub>
</kwd>
<kwd>ionic liquids</kwd>
<kwd>minimum quantity lubrication</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Material Forming and Removal</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>New cooling and lubrication methods for machining processes are under investigation to improve tool life and the quality of machined parts. These methods aim to reduce both friction and heating phenomena at chip/tool and tool/part contact zones. The application of supercritical <inline-formula id="inf7">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
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<mml:mn>2</mml:mn>
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</inline-formula> (sc<inline-formula id="inf8">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
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<mml:mn>2</mml:mn>
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</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>)-based cutting fluids as replacement of previous methods (flood coolants, minimum quantity lubrication, or cryogenics such as liquid nitrogen) has proved to be of great interest for the machining industry. Carbon dioxide becomes supercritical at conditions above 31&#xb0;C and 74&#xa0;bar (<xref ref-type="bibr" rid="B13">McHugh and Krukonis, 1994</xref>). When delivered to the cutting zone, the expansion due to phase transformation leads to a temperature decrease, enabling a cooling effect on both the cutting tool and the machined part (<xref ref-type="bibr" rid="B2">Cai et al., 2021</xref>). In addition, sc<inline-formula id="inf9">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
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</mml:mrow>
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</inline-formula> is known as a green solvent (<xref ref-type="bibr" rid="B11">Hyatt, 2002</xref>), so different lubricants could be added to combine cooling and lubrication effects, making this technique worth exploring.</p>
<p>As an example, <xref ref-type="bibr" rid="B22">Supekar et al. (2012)</xref> used soybean oil dissolved in sc<inline-formula id="inf10">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (0.001&#xa0;g/s) when milling compacted graphite iron at 150&#xa0;m/min. The flank wear measured after 250&#xa0;s was roughly half of that measured using emulsion flood. Different studies recorded lower tool wear with sc<inline-formula id="inf11">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x2b; MQL compared to the flood coolant: <xref ref-type="bibr" rid="B23">Tapoglou et al. (2021)</xref> in milling Ti6Al4V and <xref ref-type="bibr" rid="B19">Rahim et al. (2016)</xref> on turning AISI 1045 steel. The global trend demonstrated longer tool life with sc<inline-formula id="inf12">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x2b; MQL while sc<inline-formula id="inf13">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> alone often performed worse than the flood coolant (<xref ref-type="bibr" rid="B23">Tapoglou et al., 2021</xref>). Other studies added oil-on-water (OoW) to sc<inline-formula id="inf14">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x2b; MQL, which resulted in reducing both tool wear and cutting temperatures, better than sc<inline-formula id="inf15">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x2b; MQL in milling operations for 316L stainless steel (<xref ref-type="bibr" rid="B27">Yuan et al., 2018</xref>), <inline-formula id="inf16">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>/Al composite (<xref ref-type="bibr" rid="B26">Yu et al., 2022</xref>), Inconel 718 (<xref ref-type="bibr" rid="B28">Zhang et al., 2021</xref>), and Ti6Al4V (<xref ref-type="bibr" rid="B2">Cai et al., 2021</xref>).</p>
<p>These studies showed that sc<inline-formula id="inf17">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
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<mml:mn>2</mml:mn>
</mml:mrow>
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</inline-formula> combined with soluble lubricants is an interesting way to reduce friction in machining processes. Investigating the lubrication potential of other components in sc<inline-formula id="inf18">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (preferably sustainability-oriented or low-cost) is a topic to be explored.</p>
<p>This work aims to investigate the influence of sc<inline-formula id="inf19">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> associated with different lubricants on the friction by using tribological tests, as performed for other cooling techniques [<xref ref-type="bibr" rid="B4">Courbon et al. (2020)</xref> for liquid nitrogen; <xref ref-type="bibr" rid="B18">Pu&#x161;avec et al. (2020)</xref> for liquid carbon dioxide]. As these cooling techniques are especially useful in the case of difficult-to-cut material, Ti6Al4V is considered in this study. It is a well-known material widely applied in the aerospace industry, and several studies have previously investigated the improvements using cryogenic cooling on the cutting of Ti6Al4V, especially liquid <inline-formula id="inf20">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B1">Bergs et al., 2019</xref>; <xref ref-type="bibr" rid="B9">Gross et al., 2019</xref>).</p>
<p>Several components are selected to be paired with sc<inline-formula id="inf21">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, based on either their solubility in sc<inline-formula id="inf22">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, their sustainable character, or their previous performances in machining-related friction analysis. The evaluation of the apparent friction coefficient could help develop future efficient sc<inline-formula id="inf23">
<mml:math id="m23">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>-based cutting fluids and could be useful for sc<inline-formula id="inf24">
<mml:math id="m24">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>-assisted finite element method (FEM) simulations.</p>
</sec>
<sec id="s2">
<title>2 Lubricant selection</title>
<p>Different types of components have been chosen based on previously numbered reasons. The components are described below and summarized in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>List of lubricants and tested conditions.</p>
</caption>
<table>
<thead>
<tr>
<th align="left">Mixture</th>
<th align="left">Cooling fluid</th>
<th align="left">Lubricant</th>
<th align="left">Flow rate</th>
<th align="left">Force <inline-formula id="inf26">
<mml:math id="m26">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>N</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (N)</th>
<th align="left">Speed (m/min)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">sc<inline-formula id="inf27">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td rowspan="8" align="left">sc<inline-formula id="inf28">
<mml:math id="m28">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="left">None</td>
<td rowspan="8" align="left">sc<inline-formula id="inf29">
<mml:math id="m29">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>:<break/>0.185&#xa0;kg/min<break/>Lubricant:<break/>1&#xa0;mL/min and 4&#xa0;mL/min</td>
<td rowspan="9" align="left">100<break/>250<break/>400</td>
<td rowspan="9" align="left">20<break/>100</td>
</tr>
<tr>
<td align="left">sc<inline-formula id="inf30">
<mml:math id="m30">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x2b; W</td>
<td align="left">Water</td>
</tr>
<tr>
<td align="left">sc<inline-formula id="inf31">
<mml:math id="m31">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x2b; MQL</td>
<td align="left">Mineral oil</td>
</tr>
<tr>
<td align="left">sc<inline-formula id="inf32">
<mml:math id="m32">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x2b; R</td>
<td align="left">Rapeseed oil</td>
</tr>
<tr>
<td align="left">sc<inline-formula id="inf33">
<mml:math id="m33">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x2b; S</td>
<td align="left">Sunflower oil</td>
</tr>
<tr>
<td align="left">sc<inline-formula id="inf34">
<mml:math id="m34">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x2b; PE</td>
<td align="left">PEG</td>
</tr>
<tr>
<td align="left">sc<inline-formula id="inf35">
<mml:math id="m35">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x2b; PF6</td>
<td align="left">BMIM-PF6</td>
</tr>
<tr>
<td align="left">sc<inline-formula id="inf36">
<mml:math id="m36">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x2b; BF4</td>
<td align="left">BMIM-BF4</td>
</tr>
<tr>
<td align="left">Dry</td>
<td align="left">None</td>
<td align="left">None</td>
<td align="left">-</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="s2-1">
<title>2.1 Ionic liquids</title>
<p>First, ionic liquids (ILs) have been reported by <xref ref-type="bibr" rid="B21">Sahab et al. (2017)</xref> to improve lubrication in reducing wear scar diameter (13%) during a tribological four-ball wear test. <xref ref-type="bibr" rid="B6">Davis et al. (2015)</xref> also noticed a better decrease of cutting forces when comparing IL-based MQL to water-based MQL during titanium machining. Their attractive properties, such as low melting point, negligible volatility, high thermal stability, and non-flammability, make them interesting lubricants for machining applications. Ionic liquids are soluble in sc<inline-formula id="inf37">
<mml:math id="m37">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> with a solubility that increases with pressure (<xref ref-type="bibr" rid="B25">Wu et al., 2003</xref>). Two ILs that have already been used in machining cutting fluids (<xref ref-type="bibr" rid="B6">Davis et al., 2015</xref>) are retained to be tested with sc<inline-formula id="inf38">
<mml:math id="m38">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> in the present study, namely, 1-butyl-3-methylimidazolium hexafluorophosphate (BMIM-PF6) and 1-butyl-3-methylimidazolium tetrafluoroborate (BMIM-BF4). These components are from BLDPharm with molecular weights of 248.18&#xa0;g/mol and 226.02&#xa0;g/mol, respectively.</p>
</sec>
<sec id="s2-2">
<title>2.2 Vegetable oils</title>
<p>Another leverage of sustainability in machining assistance techniques is the use of vegetable-based oils. Commercial sunflower (S) and rapeseed (R) oils have been chosen because they are available, soluble in sc<inline-formula id="inf40">
<mml:math id="m40">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, and have a high potential in cryogenic minimum quantity, as demonstrated by <xref ref-type="bibr" rid="B15">Meier et al. (2021)</xref> in milling tests.</p>
</sec>
<sec id="s2-3">
<title>2.3 Other lubricants</title>
<p>Polyethylene glycol (PEG) from ThermoFisher (molecular weight: 200&#xa0;g/mol) is also tested in this study. As reported by <xref ref-type="bibr" rid="B8">Goindi et al. (2018),</xref> it can be used as a lubricant although it is expected to decrease tool wear less than ionic liquids. The influence of dissolved droplets of water in sc<inline-formula id="inf42">
<mml:math id="m42">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> on the apparent coefficient friction has also been selected for investigation because of its cooling ability shown in milling and grinding (<xref ref-type="bibr" rid="B2">Cai et al., 2021</xref>; <xref ref-type="bibr" rid="B5">Dang et al., 2021</xref>). A common mineral oil with a kinematic viscosity at 40&#xb0;C of 28&#xa0;mm<sup>2</sup>/s, named here MQL, has been chosen for comparison with the selected previous lubricants when associated with sc<inline-formula id="inf43">
<mml:math id="m43">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>The lubricants selected in this study offer greater availability and are less health-threatening than traditional emulsions due to their biological composition. <xref ref-type="bibr" rid="B17">Pereira et al. (2016)</xref> have already highlighted the sustainability of cryo-MQL cooling methods over conventional flood coolants, considering environmental factors such as toxicity, power consumption, and ozone depletion.</p>
<p>However, the chosen lubricants here would not be suitable for machining applications where cleanliness is crucial, such as in the biomedical and agri-food industries.</p>
</sec>
</sec>
<sec id="s3">
<title>3 Experimental setup and methods</title>
<sec id="s3-1">
<title>3.1 sc<inline-formula id="inf44">
<mml:math id="m44">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>-based mixture delivery machine</title>
<p>A research-dedicated setup (<xref ref-type="fig" rid="F1">Figure 1</xref>) was designed and manufactured to produce sc<inline-formula id="inf45">
<mml:math id="m45">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>-based cutting fluids. The hydraulic circuit is illustrated in <xref ref-type="fig" rid="F2">Figure 2</xref>. The different parts of the process are presented in a dedicated video available online at <ext-link ext-link-type="uri" xlink:href="https://cutt.ly/yw9oGrxP">https://cutt.ly/yw9oGrxP</ext-link>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Supercritical <inline-formula id="inf46">
<mml:math id="m46">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> delivery device.</p>
</caption>
<graphic xlink:href="fmtec-04-1410292-g001.tif"/>
</fig>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Hydraulic circuit of the supercritical <inline-formula id="inf47">
<mml:math id="m47">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> delivery device.</p>
</caption>
<graphic xlink:href="fmtec-04-1410292-g002.tif"/>
</fig>
<p>The machine is fed in <inline-formula id="inf48">
<mml:math id="m48">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> from a rack of bottles stored at ambient temperature and a pressure of 60&#xa0;bar, where the <inline-formula id="inf49">
<mml:math id="m49">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> might be liquid or gas. To ensure a liquid phase before compression, the entering liquid/gas <inline-formula id="inf50">
<mml:math id="m50">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is cooled to 10&#xb0; through a heat plate exchanger E1 before compression and heating to desired values of pressure (P) and temperature (T). Real-time measurements of (P) and (T) are monitored by a controller to fit to the user-specified commands. The liquid <inline-formula id="inf51">
<mml:math id="m51">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is then compressed to the desired pressure (maximum of 350&#xa0;bar). The temperature is then increased by four heating cartridges E2 to reach the supercritical state in the mixing chamber (MC), where lubricants are delivered at a user-specified injection rate. The sc<inline-formula id="inf52">
<mml:math id="m52">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> with or without lubricants is then delivered through a round jet nozzle by activating the pneumatic valve D1. Several sight glasses are positioned along the circuit to visualize the state of the fluid (SG1 to SG4), the occurring phase transformation, and the lubricant injection (SG3 and SG4).</p>
<p>A nozzle diameter of 0.25&#xa0;mm was used for this study. The flow rate of sc<inline-formula id="inf53">
<mml:math id="m53">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> was 0.185&#xa0;kg/min, determined by bottle mass difference measurement. The lubricants were delivered at 1&#xa0;mL/min and 4&#xa0;mL/min, which are common delivery rates for MQL applications.</p>
<p>The pressure was limited to 100&#xa0;bar, and the temperature was set to 40&#xb0;C. This choice was made to guarantee a supercritical state and sufficient flow rate while minimizing <inline-formula id="inf54">
<mml:math id="m54">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> consumption with limited pressure. Additionally, being slightly above the critical temperature helps avoid the reduced mass flow rate that typically occurs during sc<inline-formula id="inf55">
<mml:math id="m55">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> expansion at higher temperatures (<xref ref-type="bibr" rid="B7">Fan et al., 2018</xref>).</p>
</sec>
<sec id="s3-2">
<title>3.2 Tribology: setup and conditions</title>
<p>A pin-on-cylinder tribometer was used to reproduce the pressure at the chip/tool contact and chip sliding velocities. As illustrated in <xref ref-type="fig" rid="F3">Figure 3</xref>, the tribometer screwed on a dynamometer (KISTLER 9121) was mounted on a SOMAB T500 lathe for the friction tests. A Hedenqvist-type tribometer (cylindrical pin on a cylindrical bar) was chosen for easy and quick execution (<xref ref-type="bibr" rid="B10">Hedenqvist and Olsson, 1991</xref>). The normal load <inline-formula id="inf56">
<mml:math id="m56">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>N</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> was applied by controlled displacements, determined in a preliminary test. After each friction test, the workpiece&#x2019;s surface was refreshed by a VBMT 160408&#xa0;MT insert mounted on the SVVBN 2525 M16 tool holder at f &#x3d; 0.11&#xa0;mm/rev to obtain a theoretical surface roughness of Ra <inline-formula id="inf57">
<mml:math id="m57">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.5&#xa0;&#xb5;m.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Illustration of the experimental setup.</p>
</caption>
<graphic xlink:href="fmtec-04-1410292-g003.tif"/>
</fig>
<p>The <inline-formula id="inf58">
<mml:math id="m58">
<mml:mrow>
<mml:mi>&#x3d5;</mml:mi>
<mml:mn>6</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>30</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> mm cylindrical carbide pins were instrumented with a K thermocouple of <inline-formula id="inf59">
<mml:math id="m59">
<mml:mrow>
<mml:mi>&#x3d5;</mml:mi>
<mml:mn>0.5</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> mm diameter connected to a cDAQ9174 &#x2b; NI9215 acquisition set for temperature measurement during the test at a 2&#xa0;kHz rate, as illustrated in <xref ref-type="fig" rid="F3">Figure 3</xref>. A Ti6Al4V workpiece with an initial diameter of 120&#xa0;mm was used for the experiment (<xref ref-type="fig" rid="F4">Figure 4</xref>). After each test, the pins are rotated by 25&#xb0; to use a new contact surface or changed if completely worn. The newly machined workpiece surface was cleaned to remove the residuals of previous lubricants.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Setup with the sc<inline-formula id="inf60">
<mml:math id="m60">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> delivery pipe.</p>
</caption>
<graphic xlink:href="fmtec-04-1410292-g004.tif"/>
</fig>
<p>Only two sliding velocities of 20&#xa0;m/min and 100&#xa0;m/min (rotation of Ti6Al4V bar), based on a previous study by <xref ref-type="bibr" rid="B4">Courbon et al. (2020)</xref> on Ti6Al4V, were retained to reduce the number of experiments. These values cover the range of chip sliding velocities in machining difficult-to-cut alloys such as Ti6Al4V or Inconel718 (<xref ref-type="bibr" rid="B3">Courbon et al., 2013</xref>). Remember here that the main purpose is to investigate the comparative performance of the chosen mixtures (sc<inline-formula id="inf61">
<mml:math id="m61">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x2b; lubricants) rather than typical tribological analysis with variable sliding speeds. The pin was moved at three different speeds (0.5, 0.75, and 1&#xa0;mm/rev) corresponding to each force zone in <xref ref-type="fig" rid="F3">Figure 3</xref>.</p>
<p>For the normal load, a contact pressure of 1,300&#xa0;MPa based on the experimental results of <xref ref-type="bibr" rid="B16">Outeiro et al. (2015)</xref> was used as the benchmark for a mechanical indentation FEM simulation to find corresponding tribological forces to use in the experiments, in association with chosen sliding velocities. Three values of forces, 100&#xa0;N, 250&#xa0;N, and 400&#xa0;N, were selected and are presented in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<p>The recorded normal <inline-formula id="inf62">
<mml:math id="m62">
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<mml:msub>
<mml:mrow>
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</mml:mrow>
<mml:mrow>
<mml:mtext>N</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and tangential forces <inline-formula id="inf63">
<mml:math id="m63">
<mml:mrow>
<mml:msub>
<mml:mrow>
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<mml:mtext>T</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> were used to calculate the apparent friction coefficient <inline-formula id="inf64">
<mml:math id="m64">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> by <xref ref-type="disp-formula" rid="e1">Equation 1</xref>.<disp-formula id="e1">
<mml:math id="m65">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
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<mml:msub>
<mml:mrow>
<mml:mi>F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s4">
<title>4 Results and discussions</title>
<sec id="s4-1">
<title>4.1 Influence of lubricants on apparent friction coefficient</title>
<p>All measured forces remained constant throughout each test (above 60&#xa0;s), as well as the temperature, apart from the quick transition increase at the beginning of the friction. The average values of the apparent friction coefficient are computed for all the tested lubrication methods and compared in <xref ref-type="fig" rid="F5">Figure 5</xref>.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Evolution of the friction coefficient for the two sliding speeds and lubricant flow rates.</p>
</caption>
<graphic xlink:href="fmtec-04-1410292-g005.tif"/>
</fig>
<p>The values for the apparent coefficient of friction reported here for dry tests at 100&#xa0;m/min are higher than those obtained in tests with a spherical tip carbide (<xref ref-type="bibr" rid="B4">Courbon et al., 2020</xref>). For similar studies using the pin-on-cylinder tribological test at a 500&#xa0;N load, the 0.25 value obtained by <xref ref-type="bibr" rid="B4">Courbon et al. (2020)</xref> is lower than those observed here with similar conditions of 400&#xa0;N and 100&#xa0;m/min. This could be due to our lower load conditions and the influence of the cylinder-on-cylinder contact (which has a larger surface area than spherical-tip-on-cylinder contact), potentially reducing the applied loads. As <xref ref-type="bibr" rid="B4">Courbon et al. (2020)</xref> cited from <xref ref-type="bibr" rid="B14">Meier et al. (2017)</xref>, the friction coefficient is higher at lower loads. We assume these reasons could explain the differences between our results and their findings. Nevertheless, they reported no influence of the sliding speed on the coefficient of friction.</p>
<p>The main idea here is rather to check whether the selected lubricants can improve the contact when paired with sc<inline-formula id="inf65">
<mml:math id="m66">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. As suspected, sc<inline-formula id="inf66">
<mml:math id="m67">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> alone had almost no lubrication effect. Existent friction tests with liquid <inline-formula id="inf67">
<mml:math id="m68">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B18">Pu&#x161;avec et al., 2020</xref>) or machining tests with sc<inline-formula id="inf68">
<mml:math id="m69">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B23">Tapoglou et al., 2021</xref>), without lubricant studies showed only the cooling effect of the <inline-formula id="inf69">
<mml:math id="m70">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> coolants. This study hence demonstrates the need for lubrication when using supercritical <inline-formula id="inf70">
<mml:math id="m71">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> in friction-related applications.</p>
<p>For the 20&#xa0;m/min sliding tests, even if the addition of lubricants to sc<inline-formula id="inf71">
<mml:math id="m72">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> decreased the friction, the sc<inline-formula id="inf72">
<mml:math id="m73">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>-based fluids did not perform better than the dry test, as expected. The value of &#xb5;for the sc<inline-formula id="inf73">
<mml:math id="m74">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>-based fluids stayed above the one for dry test for almost all loads.</p>
<p>Nevertheless, a mean decrease of 0.1 in the apparent friction coefficient value was observed for the tests at 100&#xa0;m/min. When increasing the lubricant flow rate from 1&#xa0;mL/min to 4&#xa0;mL/min, reductions of &#xb5;&#xa0;values occurred at 100&#xa0;m/min. The lubricating effect of the used ionic liquids (PF6 and BF4), cited from previous literature (<xref ref-type="sec" rid="s2">Section 2</xref>), could be depicted for the 100&#xa0;m/min conditions with significant friction decreases at 4&#xa0;m/min and 400&#xa0;N. Even if it is well known that lower friction at higher speed could be due to material softening (<xref ref-type="bibr" rid="B20">Rech et al., 2013</xref>), the decrease of <inline-formula id="inf74">
<mml:math id="m75">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> observed here could be associated with the combined effect of lubrication by the additives and cooling from sc<inline-formula id="inf75">
<mml:math id="m76">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> because of the notable differences between the values of &#xb5;&#xa0;for sc<inline-formula id="inf76">
<mml:math id="m77">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x2b; IL and sc<inline-formula id="inf77">
<mml:math id="m78">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> alone. Except for the ionic liquids, the effects of the additives were not clearly visible here.</p>
<p>It is also important to notice that &#x201c;cheap&#x201d; lubricants, such as water or rapeseed oils, were similar to commonly used machining mineral oil (MQL) when paired with sc<inline-formula id="inf78">
<mml:math id="m79">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, which might be interesting for sustainability consideration or cost reduction. Solubility tests of these additives in sc<inline-formula id="inf79">
<mml:math id="m80">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> under the tested conditions will be investigated for more insight.</p>
</sec>
<sec id="s4-2">
<title>4.2 Influence of lubricants on sticking</title>
<p>Ti6Al4V is known for adhesive behavior on the countermaterial in friction tests. The friction zone is then observed under an optical microscope after each test (meaning the application of all loads for the considered cooling conditions) to relate the area of sticking on the pin to the evolution of the apparent coefficient through all tests. <xref ref-type="bibr" rid="B10">Hedenqvist and Olsson (1991)</xref> used image post-processing to obtain the sticking area. Here, the observed zone is assimilated to an ellipse, and its area is calculated from the two measured half-axis. Though this method is less accurate than the one from <xref ref-type="bibr" rid="B10">Hedenqvist and Olsson (1991)</xref>, it allows a comparison of the influence of the lubricating strategies on the sticking zone. This is summarized in <xref ref-type="fig" rid="F6">Figure 6</xref>.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Sticking zone for the tested cooling/lubrication fluids, in all tested conditions.</p>
</caption>
<graphic xlink:href="fmtec-04-1410292-g006.tif"/>
</fig>
<p>As seen for the apparent friction coefficient, no gain regarding friction was recorded at 20&#xa0;m/min by adding the lubricants in sc<inline-formula id="inf80">
<mml:math id="m81">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, with respect to the dry condition. However, their effects are clearly visible at 100&#xa0;m/min. The lubricating effect of the ionic liquids is confirmed here as they led (together with PEG) to the lowest sticking area values. At 1&#xa0;mL/min rate, the surface is reduced by 54% and 55% for BF4 and PF6, respectively. These values increased to 74% at 4&#xa0;mL/min, showing the influence of the flow rate on the sticking.</p>
<p>Examples of sticking patterns are presented in <xref ref-type="fig" rid="F7">Figure 7</xref> to show the effect of the ionic liquids paired with sc<inline-formula id="inf81">
<mml:math id="m82">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
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</inline-formula> under the 4&#xa0;mL/min conditions. The formation of a sticking area is well known for the Ti6Al4V/WC-Co friction tests due to severe plastic deformation occurring at the pressures applied. In addition, high sliding speeds lead to material softening because of local temperatures, thereby increasing the sticking area. This explains the differences in sticking between the 20&#xa0;m/min and the 100&#xa0;m/min conditions. Adding lubricants, such as mineral or vegetable oils, forms an adsorption layer that reduces the contact between the two materials, as reported by <xref ref-type="bibr" rid="B14">Meier et al. (2017)</xref> or <xref ref-type="bibr" rid="B21">Sahab et al. (2017)</xref>, explaining the decrease observed between the dry condition and the mixtures applied. It is important to note that the vegetable oils performed similarly and slightly better than the sc<inline-formula id="inf82">
<mml:math id="m83">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
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</mml:mrow>
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</inline-formula> &#x2b; MQL. Similar phenomena are occurring here (tribofilms) but with more effectiveness with vegetable oils, which are more available. Especially for the ionic liquids, <xref ref-type="bibr" rid="B6">Davis et al. (2015)</xref> noticed a very low titanium deposition on the cutting edge when using these ILs in milling, demonstrating the effectiveness of the protective layer formed by the presence of the additives. They attributed this to the tribochemical reaction between the ILs and the tool/workpiece material based on analyses of tribological performances and surface tensions made on the topic by <xref ref-type="bibr" rid="B12">Jim&#xe9;nez and Berm&#xfa;dez (2010)</xref> and <xref ref-type="bibr" rid="B24">Watanabe et al. (2013)</xref>.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Decrease of sticking on the pin due to by ionic liquids at 4&#xa0;mL/min.</p>
</caption>
<graphic xlink:href="fmtec-04-1410292-g007.tif"/>
</fig>
</sec>
<sec id="s4-3">
<title>4.3 Influence of lubricants on temperature</title>
<p>The cooling abilities of sc<inline-formula id="inf83">
<mml:math id="m84">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
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</inline-formula> have already been stated in machining tests (<xref ref-type="bibr" rid="B2">Cai et al., 2021</xref>). The measured temperatures in the pin were, as expected, significantly decreased by sc<inline-formula id="inf84">
<mml:math id="m85">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
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</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> alone with respect to the dry tests, with a maximum reduction of 80&#xb0;C. These temperatures are presented in <xref ref-type="fig" rid="F8">Figure 8</xref> versus the load values for two speeds at a lubricant rate of 4&#xa0;mL/min. No significant difference in cooling was provided by the presence of the lubricants compared to the effect of sc<inline-formula id="inf85">
<mml:math id="m86">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
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</mml:mrow>
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</inline-formula> alone. However, additives are known to contribute to heat removal (<xref ref-type="bibr" rid="B18">Pu&#x161;avec et al., 2020</xref>). The authors currently lack explanations for the negative temperature results. Possible hypotheses include the additives not being activated under the tested speed conditions, suboptimal delivery techniques, or solubility issues, as stated in <xref ref-type="sec" rid="s4-1">Section 4.1</xref>.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Comparison of average temperature values for the tested lubricants at 4&#xa0;mL/min.</p>
</caption>
<graphic xlink:href="fmtec-04-1410292-g008.tif"/>
</fig>
</sec>
</sec>
<sec id="s5">
<title>5 Conclusion and future work</title>
<p>In this study, different lubricants (ionic liquids, vegetable and mineral oil, water, and PEG) were paired to sc<inline-formula id="inf86">
<mml:math id="m87">
<mml:mrow>
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</inline-formula> to investigate the potential decrease of friction, using a Hedenqvist-type tribological test. The analysis of the apparent friction coefficient and the sticking zone area confirmed the efficiency of ionic liquids at 100&#xa0;m/min speed regarding lubrication. The other components, such as vegetable oils or water, though as efficient as industrial mineral oil, did not reduce the coefficient of friction as expected. Solubility studies are under investigation to find suitable supercritical conditions for better efficiency of dissolved oils in sc<inline-formula id="inf87">
<mml:math id="m88">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
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<mml:mn>2</mml:mn>
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</inline-formula> and define new efficient cutting fluids based on supercritical <inline-formula id="inf88">
<mml:math id="m89">
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</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s11">Supplementary Material</xref>; further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>KK: writing&#x2013;original draft, writing&#x2013;review and editing, data curation, formal analysis, validation, and visualization. CB-D: data curation, formal analysis, investigation, methodology, validation, visualization, and writing&#x2013;review and editing. HE-B: project administration, supervision, and writing&#x2013;review and editing. FR: data curation, methodology, project administration, supervision, and writing&#x2013;review and editing. GP: project administration, supervision, and writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This study is part of the French research project <inline-formula id="inf89">
<mml:math id="m90">
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<mml:mi mathvariant="normal">C</mml:mi>
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</inline-formula>, funded by INSTITUT CARNOT ARTS, CETIM, and the Bourgogne Franche-Comt&#xe9; Council.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<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="s10">
<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>
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<title>Supplementary material</title>
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