The formulation and solution of the stationary problem of heat transfer in the neighborhood of the front point of a body at constant temperature in a stream of dissociated air are given in [I].In [2], the results are given of numerical solution of this problem in the nonstationary formulation; the establishment of a stationary heat transfer regime was established for all the calculated variants.In the present paper, we investigate the stability of stationary heat transfer regimes at the front stagnation point of a body in a stream of dissociated air using the Lyapunov functional method [3,4] and the method of [2,5], which is based on the use of Meksyn's method in boundary-layer theory [6,7].It is established that an arbitrarily strong growth of the DamkGhler number does not lead to instability and multiplicity of the stationary regimes, in contrast to the case when a hot mixture of gases flows over the front point of a thermostat [2,5,8].Numerical solution of the boundary-layer equations for a wide range of DamkGhler numbers confirms the results of the approximate qualitative analysis and shows that in a number of cases the time of establishment of the stationary state is a nonmonotonic function of the Damk6hler number.
i. Formulation of the ProblemWe consider the flow at the front stagnation point of a cold figure of revolution with constant wall temperature T w in a stream of heated dissociated air.The temperature of the air at the stagnation point satisfies T s >> Tw, so that the recombination reaction takes place only near the wall of the body.We investigate the stability of stationary regimes of heat transfer in the. neighborhood of the front stagnation point.In the framework of the assumptions made in [1,2], the nonstationary heat transfer at the stagnation point in the stream of dissociated air is described by the boundary-value problem ~cA + ac,~ Olnp/ps
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