Hostname: page-component-848d4c4894-pjpqr Total loading time: 0 Render date: 2024-07-01T17:30:16.652Z Has data issue: false hasContentIssue false
  • English
  • Français

Magnetohydrodynamic flow constructions with fundamental solutions

Published online by Cambridge University Press:  28 March 2006

Meredith C. Gourdine
Meredith C. Gourdine
Affiliation:
Plasmadyne Corporation, Santa Ana, California
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper steady flows of an incompressible, viscous, electrically conducting fluid are constructed from fundamental solutions of magnetohydrodynamics in which the applied magnetic field is parallel to the velocity at infinity. The flat plate and the sphere are considered as examples, and approximate solutions are presented for the limiting cases of large and small Reynolds and magnetic Reynolds numbers. The effects of currents in the body are also considered, and it is found that unless the magnetic Prandtl number is larger than unity, currents in the body have negligible effect on the flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 10 , Issue 3 , May 1961 , pp. 439 - 448
Copyright
© 1961 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

Blerkom, H. van 1960 Magnetohydrodynamic flow of a viscous fluid past a sphere. J. Fluid Mech. 8, 3.Google Scholar
Chester, W. 1957 The effect of a magnetic field on Stokes flow in a conducting fluid. J. Fluid Mech. 3, 304.Google Scholar
Gotoh, K. 1960 Magnetohydrodynamic flow past a sphere. J. Phys. Soc. Japan, 15, 189–6.Google Scholar
Gourdine, M. C. 1960 Generalization of Oseen's solutions to magnetohydrodynamics. American Rocket Society Symposium. Baltimore, Md.
Greenspan, H. P. 1960 Flat plate drag in magnetohydrodynamic flow. Phys. Fluids, 3, 581–7.Google Scholar
Greenspan, H. P. & Carrier, G. F. 1959 The magnetohydrodynamic flow past a flat plate. J. Fluid Mech. 6, 77–96.Google Scholar
Hasimoto, H. 1959 Viscous flow of a perfectly conducting fluid with a frozen magnetic field. Phys. Fluids, 2, 337–8.Google Scholar
Lary, E. C. 1960 A theory of thin airfoils and slender bodies in fluids of arbitrary electrical conductivity. Thesis, Cornell University.
Ludford, G. S. S. 1959 The effect of an aligned magnetic field on Oseen flow of a conducting fluid. Interim Tech. Rep. no. 43, Dept. of Math., Univ. of Maryland.Google Scholar
Yosinobu, H. 1960 A linearized theory of magnetohydrodynamic flow past a fixed body in a parallel magnetic field. J. Phys. Soc. Japan, 15, 175–88.Google Scholar