Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-19T08:49:35.326Z Has data issue: false hasContentIssue false
  • English
  • Français

Magnetohydrodynamic free convection in a strong cross field

Published online by Cambridge University Press:  29 March 2006

H. K. Kuiken
H. K. Kuiken
Affiliation:
Department of Mechanical Engineering, University of British Columbia
Get access Rights & Permissions [Opens in a new window]

Abstract

The problem of magnetohydrodynamic free convection of an electrically conducting fluid in a strong cross field is investigated. It is solved by using a singular perturbation technique. The solutions presented cover the range of Prandtl numbers from zero to order one. This includes both the important cases of liquid metals and ionized gases. A general examination is given of the role of the important parameters: Hartmann, Grashof and Prandtl numbers of the problem. This provides clear insight into its singular character and yields the correct expansion parameters. The boundary-layer approximations are derived from the complete Navier-Stokes and energy equations. The conditions for these approximations to be valid will be explicitly stated. Attention is given to ‘power law’ wall-temperatures and magnetic fields, and an assessment is given of the range of application.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 40 , Issue 1 , 14 January 1970 , pp. 21 - 38
Copyright
© 1970 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

D'Sa, E. R. 1967 Z. Angew. Math. Phys. 18, 106.
Kuiken, H. K. 1967 Perturbation techniques in free convection. Doctoral Thesis, Techn. University, Delft.
Kuiken, H. K. 1968 Int. J. Heat Mass Transf. 11, 1141.
Riley, N. 1964 J. Fluid Mech. 18, 577.
Singh, K. R. & Cowling, T. G. 1963 Quart. J. Mech. Appl. Math. 16, 1, 10.
Sparrow, E. M. & Gregg, J. L. 1958 Trans. ASME, 80, 379.
Stewartson, K. 1957 J. Math. Phys. 36, 173.
Yang, K. T. & Jerger, E. W. 1964 J. Heat Transf. 86, 107.