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- W1994736877 abstract "With the aid of the Navier-Stokes equations, the viscous flow from plane and spherical sources is studied under the assumption that the coefficient of viscosity depends on the temperature according to a power law, the Prandtl number being constant. The asymptotic solution is sought corresponding to efflux of gas into a vacuum when the pressure at infinity tends to zero. In [1] were formulated conditions under which the viscosity and heat conduction had no effect on the asymptotic behaviour of the solution for a nonviscous supersonic source. In the present paper the case is investigated when these conditions are not fulfilled, which is generally true in practice. It is shown that for a plane source the velocity at infinity tends to a value somewhat less than the corresponding maximum velocity for a nonviscous stream. For a spherical source an unexpected result is obtained: the velocity of the gas at infinity tends to zero. Estimates derived in the paper show that in the region where the forces of viscosity in the momentum equations are comparable with the forces of inertia, the Navier-Stokes equations, generally speaking, lose their validity (just as in consideration of the structure of a shock wave). Nevertheless it can be expected that these equations, as in the case of a shock wave, give in a certain sense a correct qualitative description of the behavior of the flow." @default.
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- W1994736877 date "1962-01-01" @default.
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- W1994736877 title "On the efflux of a viscous gas into a vacuum" @default.
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- W1994736877 doi "https://doi.org/10.1016/0021-8928(62)90159-4" @default.
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