Abstract

Theme T theme is to show that general one-to-one correspondence relations between parallel and source flows can be derived in the hypersonic slender-body theory, for the case that the ratio of the specific heats 7 of a gas is equal to 2. It is shown that the equations of motion and the boundary conditions are the same for both flows in the transformed, unified coordinates and flow variables. In particular, it is shown that if the pressure coefficient Cp along the body surface is not too sensitive to the difference of 7, then Cp in the parallel and in the source flows with different values of 7 can be correlated with each other by a simple conversion relation. Theoretical pressure distributions obtained by applying the present correspondence analogy for several bodies are compared with experimental results, showing good comparisons for power-law bodies, and some differences for a hemisphere cylinder.

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