Stability of a Conducting Fluid Flowing Down an Inclined Plane in a Magnetic Field
- 1 October 1965
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 8 (10) , 1785-1791
- https://doi.org/10.1063/1.1761110
Abstract
A stability analysis is made for the laminar flow of a layer of a viscous and electrically conducting fluid down an inclined plane in a transverse magnetic field. It is found that the effect of the magnetic field, revealed through the Hartmann number, is to stabilize the flow. A simpler and physically clearer approximate treatment of the same problem based on the principle of local balance is also given. The results agree quite satisfactorily with the exact analysis.Keywords
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