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On the characteristic method for unsteady compressible flow

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Conclusion

The method of graphical computation based on the use of characteristics is easier to handle than the arithmetical computation for the study of unsteady flow problems. The possibility of reducing the equations for the characteristics into simple non-dimensional form gives the construction an accuracy comparable with the numerical computation. Regarding the results obtained by this method, it is necessary to verify by actual measurements on pipe flows and engine trials the validity of the simple assumptions made in the graphical computation. The success of the method indicates that it may be possible to use this procedure for the case of the parallel supersonic jet also. In fact the method of characteristics has been successfully employed in the design of a parallel flow jet in some recent work by R. Saurer5 and K. Foetsch.6

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References

  1. Hilda Geiringer “On numerical methods in wave interaction problems,”Advances in Applied Mechanics, Academic Press, 1948, 202–45.

  2. Prandtl, L. and Busemann, A. “Näherungsverfahren zur Zeichnerischen Ermittlung von ebenen Strömungen mit Uberschallgeschwindigkeit,”Stodola Festschrift, Zurich, 1929, 499–509.

  3. R. Saurer “Theoretische Einfuhrung in die Gas dynamik,”ZAMM, 1943,23, 29.

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  4. Emmons, H. W. “The numerical solution of compressible fluid flow problems”N.A.C.A. Tech. Note No. 932, 1944.

  5. R. Saurer “Method of characteristics for three-dimensional axially symmetrical supersonic flows,”N.A.C.A. Tech. Memorandum No. 1133, Jan. 1947.

  6. K. Foetsch “Analytical design of an axially symmetrical Laval nozzle for a parallel and uniform jet,”Jour. Aero. Sciences, 1949,16.

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Authors and Affiliations

  1. Indian Institute of Technology, Khargpur

    S. N. B. Murthy

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  1. S. N. B. Murthy
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(Communicated by Dr. B. R. Seth)

Numbers marked within brackets refer to the references cited at the end of the paper.

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Murthy, S.N.B. On the characteristic method for unsteady compressible flow. Proc. Indian Acad. Sci. 37, 664–680 (1953). https://doi.org/10.1007/BF03052695

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  • DOI: https://doi.org/10.1007/BF03052695

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