Abstract
The study of heat transfer in channel flow at high fluid velocities is important owing to its application in the design of rocket nozzles and jet pipes. The problem retains its importance even at moderately high velocities where, for the study of heat transfer processes, one may consider the heating gas as an incompressible fluid, e.g. in the flow of gases through rocket combustion chambers and the initial heating of a heat regenerator. The study also finds an application in the theory of internal ballistics for calculation of heat transfer to a gun barrel during firing. No analytic solution can be derived for such problems, because the flow and energy equations for the fluid in such cases are coupled nonlinearly owing to convective terms. Though a number of steady-state problems of the above type have been studied with boundary-layer approximation, very few exact solutions are known.
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