Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-09T06:24:23.079Z Has data issue: false hasContentIssue false

Nonlinear Ekman-Hartmann layers and the flow outside

Published online by Cambridge University Press:  11 April 2006

S. S. Chawla
Affiliation:
Angewandte Geophysik, Technische Hochschule Darmstadt, Germany

Abstract

We consider in this paper the hydromagnetic flow of a viscous, incompressible, electrically conducting fluid induced by the differential rotation of an insulating boundary. A uniform magnetic field parallel to the axis of rotation is applied at a large distance from the interface. The method of matched asymptotic expansions is employed to study the hydromagnetic coupling between different regions of fluid flow and the interior of the insulating boundary.

Type
Research Article
Copyright
© 1976 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

Benton, E. R. 1966 J. Fluid Mech. 24, 781.
Benton, E. R. 1973 J. Fluid Mech. 57, 337.
Benton, E. R. & Chow, J. H. S. 1972 Phys. Fluids. 15, 2174.
Benton, E. R. & Loper, D. E. 1969 J. Fluid Mech. 39, 561.
Chawla, S. S. 1972 J. Fluid Mech. 53, 545.
Chawla, S. S. 1973 Quart. J. Mech. Appl. Math. 26, 355.
Fettis, H. E. 1955 Proc. 4th Midwest Conf. Fluid Mech. Purdue, p. 93.
Gilman, P. A. & Benton, E. R. 1968 Phys. Fluids. 11, 2397.
Greenspan, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
Loper, D. E. 1972 Phys. Earth Planet. Interiors. 6, 405.
Roberts, P. H. & Scott, S. 1965 J. Geomag. Geoelectricity. 17, 137.
Rogers, M. H. & Lance, G. N. 1960 J. Fluid Mech. 7, 617.
Stuart, J. T. 1966 J. Fluid Mech. 24, 673.