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Mikolaitis, David Walter 2014-12-16T19:12:26Z 2014-12-16T19:12:26Z 10000-01-01 1981 1981 In Chapt. 2, a model is proposed for flammability limits based on flame stretch that is applicable to upward propagation through lean methane/air mixtures in round tube. Predictions of the model are in good agreement with experiment. In Chapt. 3, premixed flames in a rear stagnation point flow are studied using activation energy asymptotics. Multiple steady states are uncovered and a linear stability analysis defines those portions of the response that are physically attainable. Variations of the flow-rate at blow-off with equivalence ratio are predicted and compared with experimental data. In Chapt. 4, a premixed flame located in a counterflow of fresh cold mixture and hot burnt gas, the latter at a temperature close to that of adiabatic deflagration, is examined. A constant density, high activation energy model is adopted, and the steady state response depends essentially on two parameters, the Lewis number, and the temperature of the remote hot gas. If the second is small enough, the response of flame position to changes in straining rate is a variation of the familiar S-shaped response for systems that display ignition and extinction. The possible implications for the flammability model of Chapt. 2 are discussed. The stability of the steady state under the influences of one-dimensional disturbances is examined in detail using the numerical method of weighted residuals. Made available in DSpace on 2014-12-16T19:12:26Z (GMT). No. of bitstreams: 1 8203534.pdf: 2995695 bytes, checksum: 73a64cb3ff3f28e3587f2c51a58e12a1 (MD5) Previous issue date: 1981 Embargo set by: Seth Robbins for item 71830 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 111 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1981. http://hdl.handle.net/2142/71664 (UMI)AAI8203534 Applied Mechanics Energy Flames in Straining Flows text Theoretical and Applied Mechanics Theoretical and Applied Mechanics University of Illinois at Urbana-Champaign Dissertation Ph.D.