{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/44403"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/44403","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Propagation of premixed flames in confined channels","abstract":"The propagation of premixed flames in confined channels is investigated. In the unconfined case, the structure of the flame and the flame speed for the adiabatic planar flame have been numerically obtained and confirmed with the existing theory. It is seen that in the unconfined case, the flame propagates in nearly isobaric conditions with a constant flame speed whereas in the confined case there is pressure buildup which affects the flame speed. In the confined case, the time evolution of the flame is solved to obtain properties like the mass burning rate, pressure and flame location as a function of time, velocity field in the channel and propagation speed. Also the temperature and concentration profiles are obtained which give an insight in to the thickness of the flame region as the flame propagates through the entire channel. Effect of the Lewis number on the time taken for the flame to propagate the channel is examined. A non-linear analytical model that treats the flame as a discontinuity is also used to compare with the obtained numerical solution. This model requires only solving the hydrodynamic equations along with the Hugoniot jump relations across the flame front. The main difference between the numerical and the analytical solution is that the numerical solution takes into consideration a finite rate chemistry whereas in the analytical solution the reaction rate modeled as a delta function. Differences between the analytical and the numerical solution are compared.","abstract_html":"The propagation of premixed flames in confined channels is investigated. In the unconfined case, the structure of the flame and the flame speed for the adiabatic planar flame have been numerically obtained and confirmed with the existing theory. It is seen that in the unconfined case, the flame propagates in nearly isobaric conditions with a constant flame speed whereas in the confined case there is pressure buildup which affects the flame speed. In the confined case, the time evolution of the flame is solved to obtain properties like the mass burning rate, pressure and flame location as a function of time, velocity field in the channel and propagation speed. Also the temperature and concentration profiles are obtained which give an insight in to the thickness of the flame region as the flame propagates through the entire channel. Effect of the Lewis number on the time taken for the flame to propagate the channel is examined. A non-linear analytical model that treats the flame as a discontinuity is also used to compare with the obtained numerical solution. This model requires only solving the hydrodynamic equations along with the Hugoniot jump relations across the flame front. The main difference between the numerical and the analytical solution is that the numerical solution takes into consideration a finite rate chemistry whereas in the analytical solution the reaction rate modeled as a delta function. Differences between the analytical and the numerical solution are compared.","abstract_has_math":false,"creators":["Navaneetha, Arjun"],"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":2013,"date_issued":"2013-05-24T22:14:56Z","date_published":"2013-05-24T22:14:56Z","updated_at":"2026-07-22T22:25:34Z","subjects":["closed tube","premixed flames","Lewis number","numerical solution","hydrodynamic model"],"languages":["en"],"rights":["Copyright 2013 Arjun Navaneetha"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/44403","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":["Navaneetha, Arjun"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2013-05-24T22:14:56Z","2015-05-24T10:01:42Z","2013-05"]},{"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":["closed tube","premixed flames","Lewis number","numerical solution","hydrodynamic model"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2013 Arjun Navaneetha"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/44403"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The propagation of premixed flames in confined channels is investigated. In the unconfined case, the structure of the flame and the flame speed for the adiabatic planar flame have been numerically obtained and confirmed with the existing theory. It is seen that in the unconfined case, the flame propagates in nearly isobaric conditions with a constant flame speed whereas in the confined case there is pressure buildup which affects the flame speed. In the confined case, the time evolution of the flame is solved to obtain properties like the mass burning rate, pressure and flame location as a function of time, velocity field in the channel and propagation speed. Also the temperature and concentration profiles are obtained which give an insight in to the thickness of the flame region as the flame propagates through the entire channel. Effect of the Lewis number on the time taken for the flame to propagate the channel is examined. A non-linear analytical model that treats the flame as a discontinuity is also used to compare with the obtained numerical solution. This model requires only solving the hydrodynamic equations along with the Hugoniot jump relations across the flame front. The main difference between the numerical and the analytical solution is that the numerical solution takes into consideration a finite rate chemistry whereas in the analytical solution the reaction rate modeled as a delta function. Differences between the analytical and the numerical solution are compared.","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2013-04-22T20:51:45Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Navaneetha_Arjun.pdf: 972312 bytes, checksum: fbbcaf55c7c5916e9d315f1d08c616e5 (MD5)","Made available in DSpace on 2013-05-24T22:14:56Z (GMT). No. of bitstreams: 2 Arjun_Navaneetha.pdf: 972322 bytes, checksum: 4d6f46b5d4d8b99cf72182b2790bdad8 (MD5) license.txt: 4066 bytes, checksum: 968f2b21a00c4ba5afd4aba1478c9c75 (MD5)","Restriction data tranferred 2014-07-01T11:35:37-05:00 Original Data Group with Access UIUC Users [automated] Release Date: 2015-05-24 17:18:31 UTC Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Seth Robbins (srobbins@illinois.edu) on 2013-05-24T22:18:34Z Item is restricted until 2015-05-24T22:18:31Z","U of I Only Restriction Lifted for Item 44376 on 2015-05-24T10:01:42Z."]},{"key":"dc:title","label":"Title","values":["Propagation of premixed flames in confined channels"]}]}],"canonical_facts":{"dc:contributor":["Matalon, Moshe"],"dc:creator":["Navaneetha, Arjun"],"dc:date":["2013-05-24T22:14:56Z","2015-05-24T10:01:42Z","2013-05"],"dc:description":["The propagation of premixed flames in confined channels is investigated. In the unconfined case, the structure of the flame and the flame speed for the adiabatic planar flame have been numerically obtained and confirmed with the existing theory. It is seen that in the unconfined case, the flame propagates in nearly isobaric conditions with a constant flame speed whereas in the confined case there is pressure buildup which affects the flame speed. In the confined case, the time evolution of the flame is solved to obtain properties like the mass burning rate, pressure and flame location as a function of time, velocity field in the channel and propagation speed. Also the temperature and concentration profiles are obtained which give an insight in to the thickness of the flame region as the flame propagates through the entire channel. Effect of the Lewis number on the time taken for the flame to propagate the channel is examined. A non-linear analytical model that treats the flame as a discontinuity is also used to compare with the obtained numerical solution. This model requires only solving the hydrodynamic equations along with the Hugoniot jump relations across the flame front. The main difference between the numerical and the analytical solution is that the numerical solution takes into consideration a finite rate chemistry whereas in the analytical solution the reaction rate modeled as a delta function. Differences between the analytical and the numerical solution are compared.","Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2013-04-22T20:51:45Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Navaneetha_Arjun.pdf: 972312 bytes, checksum: fbbcaf55c7c5916e9d315f1d08c616e5 (MD5)","Made available in DSpace on 2013-05-24T22:14:56Z (GMT). No. of bitstreams: 2 Arjun_Navaneetha.pdf: 972322 bytes, checksum: 4d6f46b5d4d8b99cf72182b2790bdad8 (MD5) license.txt: 4066 bytes, checksum: 968f2b21a00c4ba5afd4aba1478c9c75 (MD5)","Restriction data tranferred 2014-07-01T11:35:37-05:00 Original Data Group with Access UIUC Users [automated] Release Date: 2015-05-24 17:18:31 UTC Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Seth Robbins (srobbins@illinois.edu) on 2013-05-24T22:18:34Z Item is restricted until 2015-05-24T22:18:31Z","U of I Only Restriction Lifted for Item 44376 on 2015-05-24T10:01:42Z."],"dc:identifier":["http://hdl.handle.net/2142/44403"],"dc:language":["en"],"dc:rights":["Copyright 2013 Arjun Navaneetha"],"dc:subject":["closed tube","premixed flames","Lewis number","numerical solution","hydrodynamic model"],"dc:title":["Propagation of premixed flames in confined channels"],"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":"2026-07-22T22:25:34Z"}