DETERMINING THE FORM OF A SPATIAL OPTIMUM BODY WITH CONSIDERATION OF FRICTION FORCES (OPREDELENIE FORMY PROSTRANSTVENNOGO OPTIMALNOGO TELA S UCHETOM SILY TRENIYA)

The problem of determining the optimum shape of a three-dimensional body in hypersonic flow is considered under the following assumptions: (a) the distribution of pressure coefficients obeys Newton's law; (b) the local friction is constant. This problem is reduced here to two variational proble...

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Bibliographic Details
Main Author: Gonor,A L
Format: Report
Language:English
Subjects:
CURVED PROFILES
DISTRIBUTION
DRAG
Fluid Mechanics
HYPERSONIC CHARACTERISTICS
MATHEMATICAL ANALYSIS
OPTIMIZATION
PARTIAL DIFFERENTIAL EQUATIONS
PRESSURE
SKIN FRICTION
THREE DIMENSIONAL FLOW
TRANSLATIONS
USSR
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Summary:The problem of determining the optimum shape of a three-dimensional body in hypersonic flow is considered under the following assumptions: (a) the distribution of pressure coefficients obeys Newton's law; (b) the local friction is constant. This problem is reduced here to two variational problems which consist in determining the extremals of two functionals describing the longitudinal and transverse contours of the body. The two problems are formulated and solved independently, using the Euler equation, with Weierstrass-Erdmann conditions taken into consideration. Some specific limiting cases are investigated which allow simple solutions. The ratio of the total drag of a starlike body in terms of the drag of an equivalent optimal body is given in a graph which shows that a significant reduction in the drag is obtained with a starlike body. Unedited rough draft trans. of Akademiya Nauk SSSR. Izvestiya. Mekhanika, n4 p24-30 1965, by L. Marokus.