EXACT SOLUTIONS OF THE MAGNETOHYDRODYNAMIC EQUATIONS
Journal Article
·
· Journal of Fluid Mechanics (England)
Exact one-dimensional solutions of the magnetohydrodynamic equations of an incompressible fluid are considered. It is shown that one class of plane wave solutions of the linearized equations is also a possible class of solutions of the general equations including the effect of displacement current. A similar result is also established for the solutions for a horizontally stratified fluid. For the particular case when the viscosity is equal to the magnetic diffusivity an exact solution is obtained for the magnetohydrodynamic Rayleigh problem for a semi-infinite plate. It is shown that this solution may be employed directly to give the solution for liquids of small, but not necessarily equal. viscosity and magnetic diffusivity. (auth)
- Research Organization:
- Liverpool Univ.
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-14-019614
- OSTI ID:
- 4174255
- Journal Information:
- Journal of Fluid Mechanics (England), Journal Name: Journal of Fluid Mechanics (England) Vol. Vol: 8; ISSN JFLSA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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