SOLUTION OF THE INVISCID FLOW DUE TO DISPLACEMENT BY THE METHOD OF INTEGRAL RELATIONS.

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Abstract:

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

Author(s):
Hoffman, G. H.
Author Organization(s):
LOCKHEED MISSILES AND SPACE CO HUNTSVILLE ALA HUNTSVILLE RESEARCH AND ENGINEERING CENTER
Descriptive Note:
Technical rept.,
Annotation:
Solution of the inviscid flow due to displacement by the method of integral relations.
Pagination:
0105

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DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
H-64-017, LMSC/HREC-A710150
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*BLUNT BODIES, *SUPERSONIC FLOW, SUPERSONIC CHARACTERISTICS, INTEGRALS, EQUATIONS, MOTION, BOUNDARY LAYER, NOSE CONES, SHOCK WAVES, BOUNDARY VALUE PROBLEMS, COMPRESSIBLE FLOW, FLUID MECHANICS, SPHERES, GAS FLOW, PERTURBATION THEORY, VISCOSITY, REYNOLDS NUMBER
Report Date:
1964 Oct 01