Engineering Transactions, 25, 2, pp. 333-347, 1977

Shock Wave Structure in a Binary Mixture of Gases with a Rotational Degree of Freedom and Comparable Masses

W. Fiszdon
Institute of Fundamental Technological Research, Warszawa

T. Platkowski
Institute of Fundamental Technological Research, Warszawa

Plane stationary shock waves in a binary mixture of gases are considered. The first component of the mixture is monoatomic and the second is diatomic with a rotational degree of freedom. To obtain hydrothermodynamic. quantities, the modified BGK equations are solved using the Mott-Smith assumption. To close the set of equations, two moments of the BGK set of equations are taken. The hydrothermodynamic quantities are computed numerically and shock wave pro-files are found for different mass and density ratios of the two components. To investigate the influence of the rotational degree of freedom, a similar procedure is performed for the case of a binary mixture of monoatomic gases. The dependence of the shock structure on mass and density ratios as well as the rotational degree of freedom effects are shown.

Full Text: PDF


F. SHERMAN, J. Fluid Mech., 8, 465, 1960.

L. SIROVICH, Phys. of Fluids, 8,. 908, 1962.

GOLDMAN, L. SIROVICH, J. Fluid Mech., 35, 575, 1969.

OBERAI, Phys. of Fluids, 8, 826, 1966.

WU, LEE, Phys, of Fluids, 14, 313, 1970.

G. BIRD, J. Fluids Mech., 31, 657, 1968.

ABE, OGUCHI, ISAS Report No. 511, 39, 1974.

B. HAMEL, Phys. of Fluids, 8, 418, 1965.

W. FISZDON, Z. WALENTA, HARASIMOWICZ, [to be published in Reports of IFTP, Polish Acad. of Sci.].

T. F. MORSE, Phys. of Fluids, 7, 2020, 1964.

BRAU, JONKMAN, J. Chem. Phys., 52, 477, 1970.

L. HÓLWAY, Phys of Fluids, 9, 1958, 1966.


MOTT-SMITH, Phys. Rev., 82, 885, 1951.

LORDI, Mates Phys. of Fluids, 13, 291, 1970.

CHAPMAN, COWLING, The mathematical theory of non-uniform gases, Cambridge Univ. Press, 1970.

HIRSCHFELDER, CURTISS, BIRD, Molecular theory of gases and liquids, Wiley, New York 1954.

Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland