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Flows Around Dihedral Angles. III. On symmetric Compressible Fluid Flows Around a Flat Plate
H. J. Lugt and E. W. Schwiderski
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
Vol. 285, No. 1402 (May 4, 1965), pp. 413-422
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/2415243
Page Count: 10
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The Navier-Stokes equations for compressible fluid flows around a semi-infinite flat plate under symmetric attack are investigated. It is shown that regular locally subsonic motions, which are defined by bounded pressures and temperature gradients at the edge, exist without placing any restrictions on, for instance, analytic fluid characteristics as equation of state, equation of viscosity, and so forth. Those regular motions are locally incompressible and, hence, display the same flow patterns around the leading or trailing edge of a plate as incompressible fluid motions. In contrast to the existence of regular solutions the equations of motion exclude any singular integrals for which the pressure is infinite at the edge of the plate, provided the equation of state and the equations for viscosity, conductivity and specific heat are sufficiently regular. In particular. no singular solution exists if, for instance, the ideal gas law, Sutherland's formula of viscosity, etc., are prescribed.
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences © 1965 Royal Society