A simplified method is presented in this paper for the calculation of wall temperature and heat flux from a body surface with an internal coolant flow and an external boundary layer which could be laminar or turbulent with or without a pressure gradient. Knowing the distribution of the heat transfer coefficient for the coolant flow on the inner surface is a prerequisite condition for the calculation. The heat conduction in the solid is modeled as a one–dimensional, constant property heat transfer. The wall temperature is calculated by equating the heat flux from the external flow to the wall with that from the wall to the internal flow. The mathematical results are expressed in the form of algebraic equations whose use is illustrated in an example problem which involves an external hot flow and an internal coolant flow in a finite flat plate. A comparison shows that the results from the present procedure agree with those found from a more time–intensive, complex numerical solution.

This content is only available via PDF.