SHEAR FLOW OF A CONDUCTING FLUID IN THE PRESENCE OF A MAGNETIC FIELD
The effect of uniform vorticity present in the free stream on the interaction of the flow and magnetic fields for the case of two-dimensional flow of an inviscid, incompressible perfectly conducting fluid is considered. The exact non-linear equations for the stream function of the flow and the magnetic field function are obtained when the uniform applied magnetic field is parallel to the free-stream direction. These equations are linearized by assuming the perturbation from the undisturbed flow to be small. The flow past a sinusoidal wall is studied on the basis of these linearized equations. In the absence of shear the small perturbation theory shows that the flow field and magnetic field are irrotational for all values of m (the ratio of the fluid velocity to Alfven velocity) except 1. The governing equations in the case m = 1 are obtained, starting from the non-linear equations. The flow past thin aerofoils can be studied on the basis of these equations. It is however observed that for a full description of the flow in this case a somewhat simplified non-linear equation is to be solved. (auth)
- Research Organization:
- Indian Inst. of Tech., Bombay
- NSA Number:
- NSA-16-015287
- OSTI ID:
- 4796418
- Journal Information:
- Appl. Sci. Research, Vol. Vol: 9B; Other Information: Orig. Receipt Date: 31-DEC-62
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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