Electronic Resource
New York, NY
:
American Institute of Physics (AIP)
Physics of Fluids
3 (1991), S. 439-445
ISSN:
1089-7666
Source:
AIP Digital Archive
Topics:
Physics
Notes:
The objective of this paper is to study weakly nonlinear waves on a viscous magnetic fluid flow down an inclined plane under the influence of gravity and a constant magnetic field parallel to the plane. An approximate evolution equation is derived and a critical Reynolds number for the stability of three-dimensional long waves obtained. It is found that the component of the applied magnetic field aligned with the flow has a stabilizing effect but that the transverse component, however, has a destabilizing effect on the long waves. Stability regions of two-dimensional long waves at the critical Reynolds number and numerical results for the solution of a nonlinear ill-posed problem are presented. Several progressive-wave solutions are also given.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.858100
| Library |
Location |
Call Number |
Volume/Issue/Year |
Availability |
