caa a22 4500 477077277 CHVBK 20180405111441.0 cr unu---uuuuu 170330e19960701xx s 000 0 eng 10.1007/BF00049243 doi (NATIONALLICENCE)springer-10.1007/BF00049243 Free convection stagnation point boundary layers driven by catalytic surface reactions: II times to ignition [Elektronische Daten] [M. Chaudhary, J. Merkin] The steady states of a combustion model, derived in a previous paper, were shown to have critical points (turning points in the bifurcation diagram) for certain ranges of parameter values. Here attention is fixed on the heat release parameter λ and the time evolution for the solution for values of λ just above its critical value 403-1 is discussed. It is shown that the solution develops a three-stage structure, with the solution both approaching and leaving the critical point on a relatively short time scale. However, the majority of the time is spent in moving slowly past the critical point, on an 403-2 time scale. The solution finally attains its values on the upper solution branch, except in the special case of the exponential approximation and when reactant consumption is neglected. Here the temperature develops a singularity at a finite time t B, of O(log(t B −t)), though the fluid velocity remains finite at t B. Kluwer Academic Publishers, 1996 Chaudhary M. Department of Applied Mathematics, University of Leeds, LS2 9JT, Leeds, U.K. aut Merkin J. Department of Applied Mathematics, University of Leeds, LS2 9JT, Leeds, U.K. aut Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/4(1996-07-01), 403-415 0022-0833 30:4<403 1996 30 10665 https://doi.org/10.1007/BF00049243 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00049243 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chaudhary M. Department of Applied Mathematics, University of Leeds, LS2 9JT, Leeds, U.K aut NATIONALLICENCE 700 1- Merkin J. Department of Applied Mathematics, University of Leeds, LS2 9JT, Leeds, U.K aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers; http://www.wkap.nl 30/4(1996-07-01), 403-415 0022-0833 30:4<403 1996 30 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 47329088X BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer