<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-02054111</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-17T18:26:31+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Dynamic Response of a Vaporizing Spray to Pressure Oscillations: Approximate Analytical Solutions</title>
            <author role="aut">
              <persName>
                <forename type="first">Kwassi</forename>
                <surname>Anani</surname>
              </persName>
              <email type="md5">7b3b0b467b9a67cc787746e2ce99222c</email>
              <email type="domain">yahoo.fr</email>
              <idno type="idhal" notation="numeric">1195925</idno>
              <idno type="halauthorid" notation="string">1118162-1195925</idno>
              <idno type="ORCID">https://orcid.org/0000-0001-6679-4569</idno>
              <affiliation ref="#struct-218035"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Roger</forename>
                <surname>Prud'Homme</surname>
              </persName>
              <email type="md5">b6aa3fa7fdc011e6ff0e094674c01b5c</email>
              <email type="domain">upmc.fr</email>
              <idno type="idhal" notation="string">roger-prudhomme</idno>
              <idno type="idhal" notation="numeric">171550</idno>
              <idno type="halauthorid" notation="string">32146-171550</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-3606-8360</idno>
              <idno type="IDREF">https://www.idref.fr/027084124</idno>
              <affiliation ref="#struct-568232"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Mahouton</forename>
                <forename type="middle">Norbert</forename>
                <surname>Hounkonnou</surname>
              </persName>
              <idno type="halauthorid">1536978-0</idno>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Roger</forename>
                <surname>Prud'homme</surname>
              </persName>
              <email type="md5">b6aa3fa7fdc011e6ff0e094674c01b5c</email>
              <email type="domain">upmc.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2019-03-01 16:34:40</date>
              <date type="whenModified">2025-09-23 09:22:01</date>
              <date type="whenReleased">2019-03-07 14:59:31</date>
              <date type="whenProduced">2018</date>
              <date type="whenEndEmbargoed">2019-03-01</date>
              <ref type="file" target="https://hal.sorbonne-universite.fr/hal-02054111v1/document">
                <date notBefore="2019-03-01"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.sorbonne-universite.fr/hal-02054111v1/file/Dynamic%20Response%20of%20a%20Vaporizing%20Spray%20to%20Pressure%20RP.pdf" id="file-2054111-2064359">
                <date notBefore="2019-03-01"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="688485">
                <persName>
                  <forename>Roger</forename>
                  <surname>Prud'homme</surname>
                </persName>
                <email type="md5">b6aa3fa7fdc011e6ff0e094674c01b5c</email>
                <email type="domain">upmc.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-02054111</idno>
            <idno type="halUri">https://hal.sorbonne-universite.fr/hal-02054111</idno>
            <idno type="halBibtex">anani:hal-02054111</idno>
            <idno type="halRefHtml">&lt;i&gt;Combustion and Flame&lt;/i&gt;, 2018</idno>
            <idno type="halRef">Combustion and Flame, 2018</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-2054111-2064359"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="IJLRDA" corresp="SORBONNE-UNIVERSITE">Institut Jean Le Rond d'Alembert</idno>
            <idno type="stamp" n="IJLRDA-FRT" corresp="IJLRDA">Combustion, Energies Propres et Turbulence </idno>
            <idno type="stamp" n="SORBONNE-UNIVERSITE">Sorbonne Université</idno>
            <idno type="stamp" n="SORBONNE-UNIV" corresp="SORBONNE-UNIVERSITE">Sorbonne Université 01/01/2018</idno>
            <idno type="stamp" n="SU-SCIENCES" corresp="SORBONNE-UNIVERSITE">Faculté des Sciences de Sorbonne Université</idno>
            <idno type="stamp" n="SU-TI">Sorbonne Université - Texte Intégral</idno>
            <idno type="stamp" n="ALLIANCE-SU"> Alliance Sorbonne Université</idno>
            <idno type="stamp" n="SUPRA_INGENIERIE">Ingénierie</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Dynamic Response of a Vaporizing Spray to Pressure Oscillations: Approximate Analytical Solutions</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Kwassi</forename>
                    <surname>Anani</surname>
                  </persName>
                  <email type="md5">7b3b0b467b9a67cc787746e2ce99222c</email>
                  <email type="domain">yahoo.fr</email>
                  <idno type="idhal" notation="numeric">1195925</idno>
                  <idno type="halauthorid" notation="string">1118162-1195925</idno>
                  <idno type="ORCID">https://orcid.org/0000-0001-6679-4569</idno>
                  <affiliation ref="#struct-218035"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Roger</forename>
                    <surname>Prud'Homme</surname>
                  </persName>
                  <email type="md5">b6aa3fa7fdc011e6ff0e094674c01b5c</email>
                  <email type="domain">upmc.fr</email>
                  <idno type="idhal" notation="string">roger-prudhomme</idno>
                  <idno type="idhal" notation="numeric">171550</idno>
                  <idno type="halauthorid" notation="string">32146-171550</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-3606-8360</idno>
                  <idno type="IDREF">https://www.idref.fr/027084124</idno>
                  <affiliation ref="#struct-568232"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Mahouton</forename>
                    <forename type="middle">Norbert</forename>
                    <surname>Hounkonnou</surname>
                  </persName>
                  <idno type="halauthorid">1536978-0</idno>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">11902</idno>
                <idno type="issn">0010-2180</idno>
                <title level="j">Combustion and Flame</title>
                <imprint>
                  <publisher>Elsevier</publisher>
                  <date type="datePub">2018</date>
                </imprint>
              </monogr>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">adiabatic or isothermal feeding regime</term>
                <term xml:lang="en">mean spherical droplet</term>
                <term xml:lang="en">frequency response factor</term>
                <term xml:lang="en">double confluent Heun equation</term>
                <term xml:lang="en">approximate analytical solution</term>
              </keywords>
              <classCode scheme="halDomain" n="spi">Engineering Sciences [physics]</classCode>
              <classCode scheme="halDomain" n="spi.fluid">Engineering Sciences [physics]/Reactive fluid environment</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>In this work, we study thermal conduction and convection combined effects on frequency response to pressure oscillations of a spray of repetitively injected drops in a combustion chamber. The theoretical model is based on Heidmann analogy of the so called "mean droplet" which is a single spherical vaporizing droplet with constant average radius, given that this droplet is continually fed at a stationary flow rate. The feeding comes from a source point placed at the mean spherical droplet center in such a way that the injection process can be assumed to be isothermal (isothermal feeding regime) or adiabatic (adiabatic feeding regime). Drawing upon the linear decomposition of the energy conservation equation, approximate analytical solutions for the perturbed temperature field inside the droplet are obtained from some derived double confluent Heun equations. Frequency response factor of the evaporating mass is then evaluated on the basis of the Rayleigh criterion by means of the linearized equations of the gas phase. Compared to the results obtained for the previous pure conduction model of the same "mean droplet", frequency response factor curves seem to be similar with reference to each feeding regime. Moreover, due to the radial thermal convection effect introduced in the present work, a frequency response factor curve with the same characteristic times ratio may exhibit a relatively larger frequency range for the instability domain. Data are found to be correlated in 2 terms of period of pressure oscillations, vaporization characteristics times and of fuel thermodynamic coefficients. In the isothermal feeding regime in particular, due to some possible values that can be taken by a certain thermodynamic coefficient, high and non-linear frequency responses may appear in the system.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="institution" xml:id="struct-218035" status="VALID">
          <idno type="IdRef">02793974X</idno>
          <idno type="ROR">https://ror.org/00wc07928</idno>
          <orgName>Université de Lomé [Togo]</orgName>
          <desc>
            <address>
              <addrLine>Boulevard Gnassingbé Eyadéma 01 BP1515 Lomé</addrLine>
              <country key="TG"/>
            </address>
            <ref type="url">https://univ-lome.tg/</ref>
          </desc>
        </org>
        <org type="researchteam" xml:id="struct-568232" status="VALID">
          <orgName>Combustion, Energies Propres et Turbulence</orgName>
          <orgName type="acronym">IJLRDA-CEPT</orgName>
          <desc>
            <address>
              <addrLine>∂'Alembert, boîte 162, 4 Place Jussieu, 75252 Paris Cedex 05</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.dalembert.upmc.fr/frt/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-541882" type="direct"/>
            <relation active="#struct-413221" type="indirect"/>
            <relation name="UMR7190" active="#struct-441569" type="indirect"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-541882" status="VALID">
          <idno type="IdRef">240418603</idno>
          <idno type="ISNI">0000000088682659</idno>
          <idno type="RNSR">200712566H</idno>
          <idno type="ROR">043we9s22</idno>
          <orgName>Institut Jean Le Rond d'Alembert</orgName>
          <orgName type="acronym">DALEMBERT</orgName>
          <date type="start">2018-01-01</date>
          <desc>
            <address>
              <addrLine>Boite 162 4 place Jussieu 75005 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.dalembert.upmc.fr/ijlrda/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-413221" type="direct"/>
            <relation name="UMR7190" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="regroupinstitution" xml:id="struct-413221" status="VALID">
          <idno type="IdRef">221333754</idno>
          <idno type="ROR">https://ror.org/02en5vm52</idno>
          <orgName>Sorbonne Université</orgName>
          <orgName type="acronym">SU</orgName>
          <date type="start">2018-01-01</date>
          <desc>
            <address>
              <addrLine>21 rue de l’École de médecine - 75006 Paris</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.sorbonne-universite.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>