{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/99416"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/99416","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Relation between flame speed and stretch for a premixed flame in a stagnation point flow","abstract":"The student, Midhun Joy, submitted this Thesis for approval on 2017-12-11 at 14:52.","abstract_html":"The student, Midhun Joy, submitted this Thesis for approval on 2017-12-11 at 14:52.","abstract_has_math":false,"creators":["Joy, Midhun Jacob"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Mechanical Engineering","degree_department":null,"school":null,"contributors":["Matalon, Moshe"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2018,"date_issued":"2018-03-13T15:49:14Z","date_published":"2018-03-13T15:49:14Z","updated_at":"2026-07-22T22:24:37Z","subjects":["Stagnation","Flame","Flame displacement speed (FDS)","Flame speed","Markstein length","Hydrodynamic theory"],"languages":["en"],"rights":["Copyright 2017 Midhun Joy"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/99416","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Matalon, Moshe"]},{"key":"dc:creator","label":"Author","values":["Joy, Midhun Jacob"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2018-03-13T15:49:14Z","2017-12-12","2017-12"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mechanical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Stagnation","Flame","Flame displacement speed (FDS)","Flame speed","Markstein length","Hydrodynamic theory"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2017 Midhun Joy"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/99416"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The student, Midhun Joy, submitted this Thesis for approval on 2017-12-11 at 14:52.","This Thesis was approved for publication on 2017-12-12 at 12:22.","DSpace SAF Submission Ingestion Package generated from Vireo submission #11940 on 2018-03-13 at 10:12:15","Displacement speed of a flame is a hydrodynamic concept, and it is defined as the normal component of the velocity of the incoming flow evaluated on the unburned side of the flame. Except for a steadily propagating flame with zero stretch (planar flame), this definition is ambiguous because the mass flux and, consequently, the gas velocity vary across the thickness of the flame represented by the flame/thermo-diffusive/pre-heat zone. In other words, the flame displacement speed has different values when evaluated at different locations within the flame zone. This has led to confusion about the position within the flame that must be used for measuring flame speed. Additionally, according to the hydrodynamic theory, the flame speed of weakly stretched flames is dependent on the flame stretch and the position/isotherm chosen within the flame zone through a parameter known as the Markstein Length. It is the objective of this study to provide a recommendation for the position/isotherm within the flame zone for measuring gas velocity in experiments that provides a flame speed value consistent with the hydrodynamic theory. In this regard, a premixed flame in an axisymmetric laminar stagnation point flow is studied using the hydrodynamic theory. First, the outer or hydrodynamic solution is obtained by solving modified Euler equations along with jump conditions resulting from conservation laws. Thereafter, the structure of the flame zone is resolved by rescaling the coordinate and the inner solution obtained using asymptotic theory is presented. Having obtained the outer and inner solutions, a uniformly valid composite expression for the mass flux across the flame is derived and presented. Finally, flame speeds are evaluated at different isotherms/positions within the flame zone, and a recommendation for the position to measure gas velocity in experiments is provided.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2018-03-13 without embargo terms","The student, Midhun Joy, accepted the attached license on 2017-12-11 at 14:38.","Made available in DSpace on 2018-03-13T15:49:14Z (GMT). No. of bitstreams: 2 JOY-THESIS-2017.pdf: 2290638 bytes, checksum: e9425329c7c1443102001c19cf89420d (MD5) LICENSE.txt: 4207 bytes, checksum: 997c16966e664f4c43b25565e02d84dc (MD5) Previous issue date: 2017-12-12"]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Relation between flame speed and stretch for a premixed flame in a stagnation point flow"]}]}],"canonical_facts":{"dc:contributor":["Matalon, Moshe"],"dc:creator":["Joy, Midhun Jacob"],"dc:date":["2018-03-13T15:49:14Z","2017-12-12","2017-12"],"dc:description":["The student, Midhun Joy, submitted this Thesis for approval on 2017-12-11 at 14:52.","This Thesis was approved for publication on 2017-12-12 at 12:22.","DSpace SAF Submission Ingestion Package generated from Vireo submission #11940 on 2018-03-13 at 10:12:15","Displacement speed of a flame is a hydrodynamic concept, and it is defined as the normal component of the velocity of the incoming flow evaluated on the unburned side of the flame. Except for a steadily propagating flame with zero stretch (planar flame), this definition is ambiguous because the mass flux and, consequently, the gas velocity vary across the thickness of the flame represented by the flame/thermo-diffusive/pre-heat zone. In other words, the flame displacement speed has different values when evaluated at different locations within the flame zone. This has led to confusion about the position within the flame that must be used for measuring flame speed. Additionally, according to the hydrodynamic theory, the flame speed of weakly stretched flames is dependent on the flame stretch and the position/isotherm chosen within the flame zone through a parameter known as the Markstein Length. It is the objective of this study to provide a recommendation for the position/isotherm within the flame zone for measuring gas velocity in experiments that provides a flame speed value consistent with the hydrodynamic theory. In this regard, a premixed flame in an axisymmetric laminar stagnation point flow is studied using the hydrodynamic theory. First, the outer or hydrodynamic solution is obtained by solving modified Euler equations along with jump conditions resulting from conservation laws. Thereafter, the structure of the flame zone is resolved by rescaling the coordinate and the inner solution obtained using asymptotic theory is presented. Having obtained the outer and inner solutions, a uniformly valid composite expression for the mass flux across the flame is derived and presented. Finally, flame speeds are evaluated at different isotherms/positions within the flame zone, and a recommendation for the position to measure gas velocity in experiments is provided.","Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2018-03-13 without embargo terms","The student, Midhun Joy, accepted the attached license on 2017-12-11 at 14:38.","Made available in DSpace on 2018-03-13T15:49:14Z (GMT). No. of bitstreams: 2 JOY-THESIS-2017.pdf: 2290638 bytes, checksum: e9425329c7c1443102001c19cf89420d (MD5) LICENSE.txt: 4207 bytes, checksum: 997c16966e664f4c43b25565e02d84dc (MD5) Previous issue date: 2017-12-12"],"dc:format":["application/pdf"],"dc:identifier":["http://hdl.handle.net/2142/99416"],"dc:language":["en"],"dc:rights":["Copyright 2017 Midhun Joy"],"dc:subject":["Stagnation","Flame","Flame displacement speed (FDS)","Flame speed","Markstein length","Hydrodynamic theory"],"dc:title":["Relation between flame speed and stretch for a premixed flame in a stagnation point flow"],"dc:type":["text"],"thesis:degree_discipline":["Mechanical Engineering"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["M.S."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:24:37Z"}