{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/71697"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/71697","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Effects of a Slow Gas-Phase Reaction on the L(*) Instability in Solid-Propellant Rockets","abstract":"L*-instability stemming from the interaction between the thermal relaxation in the solid propellant and the bulk-mode gas motion inside the combustion chamber is examined theoretically and numerically. The explosion reaction, following the quasisteady fizz reaction occurring near the burning surface, is analyzed for its unsteadiness and strong dependence on the chamber pressure and pressure transient. For this purpose, the asymptotic analysis exploiting the large activation energy of the explosion reaction is performed. The linear-stability results show that a system becomes more unstable due to the nonvanishing induction length in comparison with the quasisteady-flame limit, in addition to capturing all the trends for L*-instability obtained by the quasisteady flame theories. The current dp/dt-extinguishment criterion seems better in predicting the extinction trends in a low-pressure range than those obtained by quasisteady flame theories. By numerically solving the problem, large-amplitude, low-frequency oscillations are found to be associated with repeated extinctions and reignitions of the explosion reaction. In addition, the incomplete combustion is explained and many of the known extinction phenomena under high depressurization are captured. On the other hand, the unsteady process at the subsurface is pointed out as a possible cause for the chuffing.","abstract_html":"L*-instability stemming from the interaction between the thermal relaxation in the solid propellant and the bulk-mode gas motion inside the combustion chamber is examined theoretically and numerically. The explosion reaction, following the quasisteady fizz reaction occurring near the burning surface, is analyzed for its unsteadiness and strong dependence on the chamber pressure and pressure transient. For this purpose, the asymptotic analysis exploiting the large activation energy of the explosion reaction is performed. The linear-stability results show that a system becomes more unstable due to the nonvanishing induction length in comparison with the quasisteady-flame limit, in addition to capturing all the trends for L*-instability obtained by the quasisteady flame theories. The current dp/dt-extinguishment criterion seems better in predicting the extinction trends in a low-pressure range than those obtained by quasisteady flame theories. By numerically solving the problem, large-amplitude, low-frequency oscillations are found to be associated with repeated extinctions and reignitions of the explosion reaction. In addition, the incomplete combustion is explained and many of the known extinction phenomena under high depressurization are captured. On the other hand, the unsteady process at the subsurface is pointed out as a possible cause for the chuffing.","abstract_has_math":false,"creators":["Lee, Hyoung In"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Theoretical and Applied Mechanics","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-12-16T19:12:40Z","date_published":"2014-12-16T19:12:40Z","updated_at":"2026-07-22T22:26:05Z","subjects":["Applied Mechanics","Engineering, Aerospace","Engineering, Mechanical"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["(UMI)AAI8815380"],"render_values":[{"text":"(UMI)AAI8815380","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/71697","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Lee, Hyoung In"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-12-16T19:12:40Z","10000-01-01","1988"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Theoretical and Applied Mechanics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"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":["Applied Mechanics","Engineering, Aerospace","Engineering, Mechanical"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/71697","(UMI)AAI8815380"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["L*-instability stemming from the interaction between the thermal relaxation in the solid propellant and the bulk-mode gas motion inside the combustion chamber is examined theoretically and numerically. The explosion reaction, following the quasisteady fizz reaction occurring near the burning surface, is analyzed for its unsteadiness and strong dependence on the chamber pressure and pressure transient. For this purpose, the asymptotic analysis exploiting the large activation energy of the explosion reaction is performed. The linear-stability results show that a system becomes more unstable due to the nonvanishing induction length in comparison with the quasisteady-flame limit, in addition to capturing all the trends for L*-instability obtained by the quasisteady flame theories. The current dp/dt-extinguishment criterion seems better in predicting the extinction trends in a low-pressure range than those obtained by quasisteady flame theories. By numerically solving the problem, large-amplitude, low-frequency oscillations are found to be associated with repeated extinctions and reignitions of the explosion reaction. In addition, the incomplete combustion is explained and many of the known extinction phenomena under high depressurization are captured. On the other hand, the unsteady process at the subsurface is pointed out as a possible cause for the chuffing.","Made available in DSpace on 2014-12-16T19:12:40Z (GMT). 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The explosion reaction, following the quasisteady fizz reaction occurring near the burning surface, is analyzed for its unsteadiness and strong dependence on the chamber pressure and pressure transient. For this purpose, the asymptotic analysis exploiting the large activation energy of the explosion reaction is performed. The linear-stability results show that a system becomes more unstable due to the nonvanishing induction length in comparison with the quasisteady-flame limit, in addition to capturing all the trends for L*-instability obtained by the quasisteady flame theories. The current dp/dt-extinguishment criterion seems better in predicting the extinction trends in a low-pressure range than those obtained by quasisteady flame theories. By numerically solving the problem, large-amplitude, low-frequency oscillations are found to be associated with repeated extinctions and reignitions of the explosion reaction. In addition, the incomplete combustion is explained and many of the known extinction phenomena under high depressurization are captured. On the other hand, the unsteady process at the subsurface is pointed out as a possible cause for the chuffing.","Made available in DSpace on 2014-12-16T19:12:40Z (GMT). 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