Thermal protection of aircraft units using film cooling with regard to unsteady heat conductivity

Abstract

A simplified physical and mathematical model of combined thermal conductivity and filtering of a cooler with a strong dependence of dynamic viscosity on temperature during film cooling of bodies was developed. The model takes into account the inflow of the cooler into the gas-dynamic boundary layer and the evaporation of the resulting protective film of the cooler. Analytical solutions are obtained for the mass evaporation rate, the rate of non-isothermal filtration, and the temperature distribution in the body, taking into account filtration. The resulting relationships are calculated by iterative methods. Analytical solution of the problem permitted us to clearly establish the functional relationship of all the defining characteristics of the system for automatic cooling of bodies.

Keywords

• high-temperature flow
• heat and mass transfer
• aircraft
• mathematical model
• heat flow
• gaseous coolers