Skip to main content
Log in

Hodograph method in non-Newtonian MHD transverse fluid flows

  • Published:
Journal of Engineering Mathematics Aims and scope Submit manuscript

Abstract

Equations for steady plane flows of non-Newtonian electrically conducting fluids of finite and infinite electrical conductivity are recast in the hodograph plane by using the Legendre transform function of the stream-function when the magnetic field is normal to the flow plane. Four examples are worked out to illustrate the developed theory. Solutions and geometries for these examples are determined.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. C. Truesdell and W. Noll, The non-linear field theories of mechanics, in Handbuch der Physik, Springer, Berlin (1965) 494–513.

    Google Scholar 

  2. R.S. Rivlin and J.L. Ericksen, Stress deformation relations for isotropic materials, J. Rat. Mech. Analysis 4 (1955) 323–425.

    Google Scholar 

  3. W.F. Ames, Non-linear Partial Differential Equations in Engineering, Academic Press, New York (1965).

    Google Scholar 

  4. A.M. Siddiqui, P.N. Kaloni and O.P. Chandna, Hodograph transformation methods in non-Newtonian fluids, J. of Engineering Mathematics 19 (1985) 203–216.

    Google Scholar 

  5. M.K. Swaminathan, O.P. Chandna and K. Sridhar, Hodographic study of transverse MHD flows, Canadian Journal of Physics 61 (1983) 1323–1336.

    Google Scholar 

  6. M.H. Martin, The flow of a viscous fluid I, Arch. Rat. Mech. Anal. 41 (1971) 266–286.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chandna, O.P., Nguyen, P.V. Hodograph method in non-Newtonian MHD transverse fluid flows. J Eng Math 23, 119–139 (1989). https://doi.org/10.1007/BF00128864

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00128864

Keywords

Navigation