In this work we develop a technique, based on the hodograph method, for the study of steady plane, viscous, incompressible constantly inclined MHD flows. The equation describing the diffusion of magnetic field is used to write the magnetic field vector in terms of the velocity vector field and the
Hodograph transformations and solutions in variably inclined MHD plane flows
โ Scribed by O. P. Chandna; R. M. Barron; K. T. Chew
- Publisher
- Springer
- Year
- 1982
- Tongue
- English
- Weight
- 706 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0022-0833
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โฆ Synopsis
By a variably inclined MHD plane flow we mean a flow in which the magnetic and velocity fields are coplanar, the angle between these vector fields is variable and all the flow variables are functions of two coordinates and time. No work seems to have been done for these general plane MHD flows, even in the steady case.
In the present paper the work in steady, viscous, incompressible flows is extended to general variably inclined, but nowhere aligned, flows with the objective of obtaining some exact solutions. We employ the hodog~aph transformation, one of the strong analytical methods, to f'md these solutions.
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