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Generalized intrinsic form of the characteristic relations in the steady supersonic flow of a gas

  • E. R. Suryanarayan (a1)

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Coburn [1] has derived the intrinsic form of the characteristic relations, for the steady, supersonic, three-dimensional motion of a polytropic gas. The purpose of this paper is to obtain a generalized form of these relations and to apply them to obtain two classes of complex-screw motions [2].

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References

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[1]Coburn, N., ‘Intrinsic form of the characteristic, relations in the steady supersonic flow of a compressible fluid’, Quarterly Journal of Applied Mathematics 15 (1957), 237248.
[2]Truesdell, C., and Toupin, R., The Classical Field Theories (Handbuch der Physik, Band III, Springer Verlag (1960), 416).
[3]Prim, R. C., ‘Steady rotational flow of ideal gases’, J. Rat. Mech. Anal. 1 (1952), 425497.
[4]Neményi, P. and Prim, R., ‘Some geometrical properties of plane gas flows’, J. Maths. Physics 27 (1948), 130135.
[5]Hansen, A. G. and Martin, M. H., ‘Some geometrical properties of plane flows’, Proc. Camb. Phil. Soc. 47 (1951), 763776.
[6]Smith, P., ‘Some intrinsic properties of spatial gas flows’, J. Maths. Mech. 12 (1963), 2732.
[7]Smith, P., ‘The steady magnetohydrodynamic flow of perfectly conducting fluids’, J. Math. Mech. 12 (1963), 505520.
[8]Weatherburn, C. E., Differential Geometry, I. (Cambridge University Press (1955), 146).
[9]Coburn, N., ‘Intrinsic relations satisfied by the velocity and vorticity vectors’, Michigan Math. J. 1 (1952), 113130.
[10]Coburn, N., ‘Discontinuities in compressible fluid flows’, Maths. Mag. 27 (1954), 245264.
[11]Weatherburn, C. E., Differential Geometry, I. (Cambridge University Press (1955), 258).
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Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
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