On the transfer of heat in a cavity at high and low speeds

Abstract

The transfer of heat between a fluid and a cavity in a solid surface over which it flows is discussed from the viewpoint of the closed 'inner boundary layer'. A (constant pressure) integral condition is derived from the energy equation which specifies the net flux of heat through the cavity at all Mach numbers. For a simplified viscosity-temperature function, velocity and temperature profiles are obtained as functions of Mach number and Prandtl number, while heat-transfer coefficients are developed in terms of these parameters.