关键词: transpiration cooling, heat transfer, distributed parameters control, variable-domain, nonlinear

Abstract: This paper gives the mathematical model of three-dimensional transpiration cooling control system in heat shield. Generally, it. a non-linear control system on variable-domain mixed up with both distributed and concentrated parameters. This paper points out that the thermal and ablative problems of the shield can be solved solely with the coolant flow only under one-dimensional incompressible or steady condition. In regard to the surface ablating problem of the thermal shield, the control schemes of the system, including its simplified condition and the characteristics of one-dimensional point control is suggested here. Solutions of the equilibrium state are given with or without phase change as far as the coolant is concerned.

Key words: transpiration cooling, heat transfer, distributed parameters control, variable-domain, nonlinear