Stagnation Point Solution of Viscous Shock Layer Equations for Flow Past a Sphere
Final rept. Apr 1974-Mar 1976
CINCINNATI UNIV OH DEPT OF AEROSPACE ENGINEERING
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Numerical solutions in the stagnation region of a spherically blunted body are obtained by using the full and thin layer version of the viscous shock layer equations. The numerical system utilizes an implicit finite difference scheme combined with a relaxation technique for determining the bow shock shape. Comparisons with experimental data are made for shock Reynolds numbers, Re sub s, of 20 to 2000 and Mach numbers of 4 to 20. Both the surface heating levels as well as the shock layer density profiles are presented. It is found that with the inclusion of the shock and body slip, the full viscous shock layer model apparently enjoys a range of validity down to Re sub s of 20 to 30. The thin layer version of these equations are shown to be inadequate for such low Reynolds numbers.
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