SOLUTION OF THE INVISCID FLOW DUE TO DISPLACEMENT BY THE METHOD OF INTEGRAL RELATIONS.
LOCKHEED MISSILES AND SPACE CO HUNTSVILLE ALA HUNTSVILLE RESEARCH AND ENGINEERING CENTER
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The method of inner and outer expansions as formulated by Van Dyke for the supersonic blunt body problem is considered. The second term in the outer expansion inviscid flow due to displacement is treated by the method of integral relations. Knowledge of this term is necessary in order to solve for second-order effects on the boundary layer. As an illustration, the method is applied to a spherical nose. The first and second approximations of the method of integral relations are derived and numerical results obtained for the first approximation. Results on the body surface are compared with those of the approximate solution given by the shifted-expanded body method. Qualitative agreement is found to exist. The variation of second-order shock standoff distance in air with Reynolds number is found to be in qualitative agreement with existing experimental results in Argon. Author