The Laminar Boundary Layer with Large Pressure Gradient and Surface Mass Transfer.

by C. Forbes Dewey, Joseph Francis Gross


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For large values of the pressure-gradient parameter (highly accelerated flows) it is very difficult to obtain exact numerical solutions of the laminar boundary layer equations. By combining the exact similar solutions given in RM-5089-ARPA with the limiting solutions as acceleration approaches infinity (the solutions to the inner and outer limit equations), it is possible to estimate accurately the skin friction and heat transfer derivatives. The outer equations determine the heat transfer derivative, and the inner solution gives the skin friction derivative. This analysis extends the work of Beckwith and Cohen to include a power-law temperature-viscosity relation, a constant but nonunit Prandtl number, and surface mass transfer. Applications include mass-transfer cooling of rocket nozzles and blunt hypervelocity vehicles. 31 pp. Refs.

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