Skip to main content
Log in

Viscous transonic spiral and radial flow

  • Published:
Applied Scientific Research Aims and scope Submit manuscript

Abstract

Similarity solutions of the viscous transonic equation describing source and source vortex flows have been found. These solutions contain shock-like transitions from the supersonic to the subsonic branch of the corresponding inviscid solutions, while the singularity near the sonic point of the inviscid solutions is shifted to a smaller radius. It is shown that this similarity solution is identical to the transonic viscous compressible source and sink flow solutions of Wu (1955) and Sakurai (1958).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Taylor, G. I., 1930 ARCR and M. No. 1382, see also The Scientific Papers of G. I. Taylor (ed. G. K. Batchelor), vol. 3, p. 142, Cambridge Un. Press, Cambridge U.K.,

    Google Scholar 

  2. Von Mises, R., Mathematical Theory of Compressible Fluid Flow, p. 73, Academic Press, New York 1958.

    Google Scholar 

  3. Oswatitsch, K., Gas Dynamics, p. 258, Academic Press, New York 1956.

    Google Scholar 

  4. Cole, J., Problems in Transonic Flow, Ph.D. thesis, California Institute of Technology, Pasadena (Calif.) 1949.

    Google Scholar 

  5. Sichel, M., Phys. Fluids 6 (1963) 653.

    Google Scholar 

  6. Szaniawski, A., Arch. Mech. Stosow. 15 (1963) 904.

    Google Scholar 

  7. Ryzhov, O. S. and G. M. Shefter, Prikl. Mat. Mekh. 28 (1964) 996.

    Google Scholar 

  8. Wu, T. Y., Quart. Appl. Math. 13 (1955) 393.

    Google Scholar 

  9. Sakurai, A., Quart. J. Mech. Appl. Math. 11 (1958) 274.

    Google Scholar 

  10. Levey, H. C., Quart. Appl. Math. 12 (1954) 25.

    Google Scholar 

  11. Levey, H. C., Quart. Appl. Math. 17 (1959) 77.

    Google Scholar 

  12. Tomotika, S. and K. Tamada, Quart. Appl. Math. 7 (1950) 381.

    Google Scholar 

  13. Sichel, M., J. Fluid Mech. 25 (1966) 769.

    Google Scholar 

  14. Abramowitz, M. and L. A. Stegun, Handbook of Mathematical Functions, p. 446, U. S. National Bureau of Standards, Washington (D.C.) 1964.

    Google Scholar 

  15. Sichel, M. and Y. K. Yin, J. Fluid Mech. 28 (1967) 513.

    Google Scholar 

  16. Axford, W. L. and R. C. Newman, Astrophys. J. 147 (1967) 230.

    Google Scholar 

  17. Hayes, W. D., Fundamentals of Gas Dynamics, Sec. D., Princeton Un. Press 1958.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sichel, M., Yin, Y.K. Viscous transonic spiral and radial flow. Appl. Sci. Res. 20, 356–367 (1969). https://doi.org/10.1007/BF00382407

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00382407

Keywords

Navigation