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The ‘piston problem’ with thermal radiation

Published online by Cambridge University Press:  28 March 2006

Kuo Chang Wang
Kuo Chang Wang
Affiliation:
The Martin Company, Baltimore, Maryland
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Abstract

The classical problem of the motion of a one-dimensional unsteady shock generated by a piston moving with velocity vp = ctn is extended to take into account thermal radiation effects by the similarity method of Taylor and Sedov. Gray gas and local thermodynamic equilibrium are assumed and a modification of the Schuster-Schwarzschild differential equation for the heat flux is adopted. The optical thickness is not restricted to be thin or thick, and the absorption coefficient is assumed to vary with the density and temperature. Numerical results indicate that the pressure and velocity are not affected much by the radiation, but the density, temperature and radiant heat flux are changed considerably.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 20 , Issue 3 , November 1964 , pp. 447 - 455
Copyright
© 1964 Cambridge University Press

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References

Adrianov, V. N. & Polyak, G. L. 1963 Int. J. Heat & Mass Transf. 6, 355.
Elliott, L. A. 1960 Proc. Roy. Soc. A, 258, 287.
Goulard, R. 1963 AIAA Preprint no. 63-452.
Kochina, N. N. & Mel'nikova, N. S. 1958 Prik. Mat. Mek. 22, 622.
Korobeinikov, V. P. 1957 Dokl. Akad. Nauk, U.S.S.R., 113, 1006.
Marshak, R. E. 1958 Phys. Fluids, 1, 24.
Sedov, L. I. 1959 Similarity and Dimensional Methods in Mechanics, p. 146. New York: Academic Press.
Taylor, G. I. 1946 Proc. Roy. Soc. A, 186, 273.
Traugott, S. C. & Wang, K. C. 1964 Int. J. Heat & Mass Transf. 7, 2, 269.
Trilling, L. 1963 IAS Preprint no. 63-54.
Yoshikawa, K. K. & Chapman, D. R. 1962 NASA TN-D-1424.
Wang, K. C. 1963 Martin Company Research Report RR-47.