On curved shock waves in three-dimensional gas flows
Author:
R. P. Kanwal
Journal:
Quart. Appl. Math. 16 (1959), 361-372
MSC:
Primary 76.00
DOI:
https://doi.org/10.1090/qam/100476
MathSciNet review:
100476
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Additional Information
- T. Y. Thomas, On curved shock waves, J. Math. Phys. Mass. Inst. Tech. 26 (1947), 62–68. MR 20906, DOI https://doi.org/10.1002/sapm194726162
- C. Truesdell, On curved shocks in steady plane flow of an ideal fluid, J. Aeronaut. Sci. 19 (1952), 826–828. MR 51653
- R. Courant and K. O. Friedrichs, Supersonic Flow and Shock Waves, Interscience Publishers, Inc., New York, N. Y., 1948. MR 0029615
- L. Howarth (ed.), Modern developments in fluid dynamics. High speed flow. 2 vols, Oxford, at the Clarendon Press, 1953. MR 0059718
- Luthur Pfahler Eisenhart, An Introduction to Differential Geometry, Princeton Mathematical Series, vol. 3, Princeton University Press, Princeton, N. J., 1940. MR 0003048
- Nathaniel Coburn, Vector and tensor analysis, The Macmillan Company, New York, 1955. MR 0072516
- Ram Prakash Kanwal, SHOCK AND WAVE SURFACES FOR THREE-DIMENSIONAL ROTATIONAL GAS FLOWS, ProQuest LLC, Ann Arbor, MI, 1957. Thesis (Ph.D.)–Indiana University. MR 2612510
- R. P. Kanwal, Variation of flow quantities along streamlines and their principal normals and binormals in three-dimensional gas flows, J. Math. Mech. 6 (1957), 621–628. MR 0094060, DOI https://doi.org/10.1512/iumj.1957.6.56032
G. I. Taylor and J. W. Maccoll, The air pressure on a cone moving at high speeds, Proc. Roy. Soc. A139, 278-311 (1933)
L. M. Milne-Thompson, Theoretical aerodynamics, Macmillan and Co., London, 1948, p. 171
- R. P. Kanwal, Propagation of curved shocks in pseudostationary three-dimensional gas flows, Illinois J. Math. 2 (1958), 129–136. MR 114474
- R. P. Kanwal, Determination of the vorticity and the gradients of flow parameters behind a three-dimensional unsteady curved shock wave, Arch. Rational Mech. Anal. 1 (1958), 225–232. MR 97231, DOI https://doi.org/10.1007/BF00298006
T. Y. Thomas, On curved shock waves, J. Math. Phys. 26, 62-68 (1947)
C. A. Truesdell, On curved shocks in steady plane flow of an ideal fluid, J. Aero. Sci. 19, 826-828 (1952)
R. Courant and K. O. Friedrichs, Supersonic flow and shock waves, Interscience Publishers, Inc., New York, 1948, Chap. I
L. Howarth, Ed., Modern developments in fluid dynamics, high speed flow, vol. I, Oxford, 1953, Chap. 2
L. P. Eisenhart, Introduction to differential geometry, Princeton Univ. Press, 1941: (a) Chap. 4, (b) p. 54, (c) p. 39, (d) p. 38, (e) p. 37
N. Coburn, Vector and tensor analysis, The Macmillan Co., New York, 1955, pp. 216-217
R. P. Kanwal, Shock and wave surfaces for three-dimensional rotational gas flows, Ph.D. thesis, Indiana University, 1957
R. P. Kanwal, Variation of flow quantities along streamlines, their principal normals and binormals in three-dimensional gas flows, to appear in the September 1957 issue of the J. Math. Mech.
G. I. Taylor and J. W. Maccoll, The air pressure on a cone moving at high speeds, Proc. Roy. Soc. A139, 278-311 (1933)
L. M. Milne-Thompson, Theoretical aerodynamics, Macmillan and Co., London, 1948, p. 171
R. P. Kanwal, Propagation of curved shock waves in pseudo-stationary three-dimensional gas flows, Illinois Journal of Mathematics, 2, 129-136 (1958)
R. P. Kanwal, Determination of vorticity and gradients of flow parameters behind a three-dimensional unsteady curved shock wave, Arch. Ratl. Mech. Anal, (in press)
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Article copyright:
© Copyright 1959
American Mathematical Society