When a catalytic wall reactor is operating properly the boundary walls
are at a high temperature and a strong temperature dependent exotherm
ic reaction at the walls heats and reacts the premixed inlet gas mixtu
re. However if the inlet gas temperature falls below a certain critica
l value T(l), the blow out temperature, steady state combustion cannot
take place. An order of magnitude analysis is presented which predict
s the general form of the blow-out criterion. The equations governing
heat and mass transfer in the viscous boundary layers in the inlet reg
ion are solved by a combination of asymptotic and numerical methods an
d an equation for T(l) is derived. The effect of radiation is also con
sidered.