The quenching of two-dimensional premixed flames

Mathematical Theory of Laminar Combustion. VIII. Three-Dimensional Flames.

“…v n + V. If this is specified the hydrodynamic problem can in principle be solved and the locus of the flame determined. [Equations (1), (2), (3) become four scalar equations for v 2 ,P 2 once p 2 is known, and that follows from the flame temperature T Evaluation of the flame speed from a combustion analysis of the sheet has often been sidestepped, and replaced by one of several hypotheses. The simplest is that the speed is constant.…”

Nonisenthalpic Interaction of a Planar Premixed Laminar Flame with a Parallel End Wall

“…The cold-wall problem (and other flame temperature. Increasing the Lewis-Semenov problems) have already been treated by Bucknumber Le likewise leads to more rapid decrease master [ 31] by the thin-fl ame approximation , of the flame temperature owing to greater heat transfer to the cold wall. Two other properties how wel l the integra l -method solution approximates of the results are : (1) the rate of reactant the solution to the formulation with the law of co n s ump t i on at the thi n fla me , -~Y( ,t)/ 't , mass act i on i s a pp rox imatel y the same as the decreases monotonically in time as the cold wall error incurred for the thin-flame formulation; is approached ; and (2) the speed of the flame in i .e., the error remains small because the reacla boratory coordinates U f increases signif icantl y tion -rate term is small.…”

Mathematical Theory of Laminar Combustion. X. Effects of Shear and Strain.

“…The above formulation is due to Buckmaster (1979a) 3T/ax = ah/x = 0 for y < 0, i.e. there is no dependence on X anywhere.…”