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Heat Transfer Research
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Heat Transfer Research

DOI: 10.1615/HeatTransRes.v32.i1-3.20
8 pages

Mathematical Simulation of Limiting Conditions of Material Burning under Microgravitation

A. N. Kirkorov
Moscow Physico-Technical Institute, Russia
Sergey G. Cherkasov
Keldysh Research Center, Russian Space Agency Moscow, Russia

ABSTRACT

A model of homogeneous burning in the vicinity of a critical point of a combustible body in a free-stream flow containing an oxidizer is developed. The boundary-layer equations with account for kinetics of the reaction with the boundary conditions of balance of mass and energy on the surface of the burning body and with account for losses to radiation are used. The problem was reduced to the system of ordinary differential equations by the Howarth-Dorodnitsyn transforms. The system of equations "without regard for kinetics" of the reaction (diffusion burning) was obtained by the Schwab-Zeldovich transform. The systems of equations were solved numerically by the grid method. Limiting modes of burning "with account for kinetics" are compared to the results of calculation "without regard for kinetics" of the reaction. It is shown that a simplified system of equations can be used at small velocities of a free-stream flow. The dependence of the curve of limiting modes of burning for the problem "without regard for kinetics" of the reaction on determining parameters is studied and the relationship between these parameters is found.


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