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Laminar flow past a sphere at high Mach number

Published online by Cambridge University Press:  28 March 2006

R. T. Davis  and
W. J. Chyu
R. T. Davis
Affiliation:
Engineering Mechanics Department, Virginia Polytechnic Institute
W. J. Chyu
Affiliation:
Engineering Mechanics Department, Virginia Polytechnic Institute
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Abstract

Laminar hypersonic flow past a sphere is examined on the basis of the constant-density approximation. The Navier-Stokes equations governing the flow are reduced to a nearly parabolic form so that backward influence is essentially eliminated. Two methods of solution are then used on the resulting equations. The first method is the so-called series-truncation method (local similarity), and the second method is an implicit finite-difference method. The solutions from the two methods are compared for various values of the shock Reynolds number. These solutions are also compared with Lighthill's inviscid constant-density solution for high-shock Reynolds number.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 24 , Issue 3 , March 1966 , pp. 481 - 495
Copyright
© 1966 Cambridge University Press

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References

Cheng, H. K. 1963 The blunt-body problem in hypersonic flow at low Reynolds number. Cornell Aero. Lab. Rep. no. AF-1285-A-10.Google Scholar
Davis, R. T. & Flügge-Lotz, I. 1964 Second-order boundary-layer effects in hypersonic flow past axisymmetric blunt bodies. J. Fluid Mech. 20, 593–623.Google Scholar
Flügge-Lotz, I. & Blottner, F. G. 1962 Computation of the compressible laminar boundary-layer flow including displacement-thickness interaction using finite-difference methods. Div. Engng Mech., Stanford Univ., Tech. Rep. no. 131. (Abbreviated version published in J. Méchanique, 2, 397–423.Google Scholar
Hoffman, G. H. 1964 Solution of the inviscid flow due to displacement by the method of integral relations. Lockheed Missiles & Space Co. Tech. Rep. no. H-64–017.Google Scholar
Hoshizaki, H. 1959 Shock-generated vorticity effects at low Reynolds number. Lockheed Aircraft Corp., Missiles & Space Div. Rep. no. LMSD-48381, 1, 9–43.Google Scholar
Kao, H. C. 1964 Hypersonic viscous flow near the stagnation streamline of a blunt body. I. A test of local similarity. AIAA Journal, 2, no. 11, 1892–1897.Google Scholar
Lighthill, M. J. 1957 Dynamics of a dissociating gas. Part I. Equilibrium flow. J. Fluid Mech. 2, 1–32.Google Scholar
Oguchi, H. 1958 Flow near the forward stagnation point of a blunt body of revolution. J. Aero/Space Sci. 25, 789–90.Google Scholar
Probstein, R. F. & Kemp, N. H. 1960 Viscous aerodynamic characteristics in hypersonic rarefied gas flow. J. Aero/Space Sci. 27, 174–92.Google Scholar
Richtmyer, R. D. 1957 Difference Methods for Initial-Value Problems. New York: Inter-science.
Smith, A. M. O. & Clutter, D. W. 1963 Solution of the incompressible laminar boundary-layer equations. AIAA Journal, 1, no. 9, 2062–2071.Google Scholar
Street, R. E. 1960 A study of boundary conditions in slip-flow aerodynamics. Rarefied Gas Dynamics (ed. F. M. Devienne), pp. 276–92. London: Pergamon Press.