Asymptotic solution of incompressible boundary layer equations with negative pressure gradient and large injection rates

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During entry of bodies into the Earth's atmosphere with high velocities, the mass removal from the body surface as a result of the large convective and primarily radiation fluxes may become arbitrarily large, i. e., the injection rate into the boundary layer may approach infinity. The present article presents a solution of the Prandtl equations for the incompressible boundary layer with negative pressure gradient (dp/dx<0) for large injection rates. The existence of a solution of the boundary layer equations with arbitrary injection rate under the condition dp/dx<0 was shown in Oleinik's work [1].