Skip to main content
Log in

Magnetohydrodynamic flow in a curved pipe

  • Published:
Applied Scientific Research, Section B

Summary

The effect of a transverse magnetic field on the steady motion of a conducting, viscous and incompressible liquid through a pipe of circular crossection, coiled in a circle is studied in this paper. The solution is obtained by successive approximations in ascending powers of the Hartmann number; the first approximation corresponds to the non-magnetic case, formulated and discussed by Dean1). It is assumed that the walls of the pipe are nonconducting and the radius of the cross-section is small in comparison with that of the circle in which the pipe is coiled. The stream-lines in the central plane and the projection of the stream-lines on a normal section are shown graphically and are compared with those of a non-conducting fluid.

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. Dean, W. R., Phil. Mag.4 (1927) 208.

    Google Scholar 

  2. Hartmann, J., Math.-fys. Medd.15 No. 6 (1937) 16.

    Google Scholar 

  3. Shercliff, J. A., Proc. Camb. Phil. Soc.49 (1953) 136.

    MathSciNet  MATH  Google Scholar 

  4. Shercliff, J. A., J. Fluid Mech.1 (1956) 644.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. Shercliff, J. A., Proc. Camb. Phil. Soc.52 (1956) 573.

    Article  MathSciNet  MATH  Google Scholar 

  6. Uflyand, Y. S., Soviet Phys. Tech. Phys.5 (1961) 1194.

    MathSciNet  Google Scholar 

  7. Uhlenbusch, J. and F. Fischer, Z. Phys.164 (1961) 190.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  8. Gold, R. R., J. Fluid Mech.13 (1962) 505.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  9. Hartmann, J. and F. Lazarus, Math.-fys. Medd.15 No. 7 (1937).

  10. Singh, S. N. and G. A. Nariboli, Appl. sci. Res., B,11 (1964) 145.

    Google Scholar 

  11. Jones, J. R., Quart. J. Mech. Appl. Math.13 (1960) 42.

    Google Scholar 

  12. Dean, W. R., Phil. Mag.5 (1928) 673.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Singh, S.N. Magnetohydrodynamic flow in a curved pipe. Appl. sci. Res. 12, 405–423 (1965). https://doi.org/10.1007/BF02933511

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02933511

Keywords

Navigation