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INCOMPRESSIBLE NEWTONIAN HYPERSONIC FLOW AROUND A SPHERE.
CONVAIR SCIENTIFIC RESEARCH LAB SAN DIEGO CA
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The inviscid flow about spheres was determined for hypersonic free stream velocities. This present solution is based on the assumption of Newtonian flow away from the stagnation point, and of constant density in the region of the stagnation point. The density is expressed in terms of the shock density ratio, which permits inclusion of real gas effects. The Newtonian flow variation of surface pressure is used in order to obtain preliminary results. This permits obtaining the stagnation-point surface-velocity gradient in a simple manner. The result, which was previously obtained by Li and Geiger by another method, is compared with test data obtained in a wind tunnel perfect gas conditions. The accuracy is about 10. A correction for compressibility is shown to increase the accuracy to about 1 or 2. A preliminary estimate of the shock separation distance along the axis of symmetry is obtained by use of a separated-variable solution of the continuity equation and the assumption of a spherical shock. The theory correlates very well with wind tunnel test data. It is an improvement to the Li and Geiger result for shock separation distance. Author
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