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The compressible viscous heat-conducting vortex

Published online by Cambridge University Press:  28 March 2006

Leslie M. Mack
Leslie M. Mack
Affiliation:
Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California
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Abstract

The plane, steady, laminar vortex flow of a viscous, heat-conducting perfect gas is treated. Simple relations are obtained for the flow quantities in the irrotational vortex, for arbitrary Prandtl numbers. When the Prandtl number is ½, the irrotational vortex is also isentropic. When the temperature dependence of the viscosity coefficient is taken into account, the vortex flow is rotational. An exact solution for the rotational vortex is obtained which is suitable for numerical evaluation by successive approximations. Distributions of velocity, temperature, pressure, density, and stagnation temperature through the rotational vortex are given for a typical case.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 8 , Issue 2 , June 1960 , pp. 284 - 292
Copyright
© 1960 Cambridge University Press

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References

Hilsenrath, J. et al. 1955 Tables of Thermal Properties of Gases. Circular no. 564, National Bureau of Standards, Washington.
Taylor, G. I. 1930 Recent work on the flow of compressible fluids. J. Lond. Math. Soc., 5, 224–40.Google Scholar