Skip to main content
SpringerLink
Log in

Asymptotic solution for the Hartmann problem through circular tube

  • Published:
Applied Scientific Research, Section B

Summary

Asymptotic solutions valid for sufficiently large Hartmann numbersM are presented in this paper. It is found that the velocity profiles are elliptic paraboloids of revolution whose major axis are parallel to the direction of the imposed magnetic field. Also the velocity profiles along the diameter parallel to the imposed field are like those of Hartmann for parallel plates and perpendicular to the field these are almost of parabolic character.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

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

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. Uflyand, Ya. S., Zhurnal Tekh. Fiziki,30 (1960) 1258.

    MathSciNet  Google Scholar 

  3. Uhlenbusch, J. and E. Fisher, Z. Physik,164 (1961) 190.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  4. Maslen, J., Quart. Applied Maths,16 (1958) 173.

    MathSciNet  MATH  Google Scholar 

  5. Watson, G. N., Theory of Bessel Function, p. 181, Cambridge Univ. Press., 1950.

  6. Nigam, S. D. and S. N. Singh, Quart. J. Appl. Math. Mech.13 (1960) 85.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Indian Institute of Technology, Bombay, India

    S. N. Singh

  2. Dept. of Chemical Technology, University of Bombay, Matunga, India

    G. A. Nariboli

Authors
  1. S. N. Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. A. Nariboli
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Singh, S.N., Nariboli, G.A. Asymptotic solution for the Hartmann problem through circular tube. Appl. sci. Res. 11, 145–160 (1964). https://doi.org/10.1007/BF02921997

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02921997

Keywords

Search

Navigation