Magnetohydrodynamics of a liquid in an infinite channel
Abstract
The problem of a conducting liquid flowing in an infinite straight channel with insulated vertical walls and base in the presence of a transverse magnetic field is solved analytically using the Hunt-Stewartson boundary layer technique. The velocity profile, nondimensionalized with respect to the core velocity, through the boundary layer for two points symmetrically placed with respect to the center line of the free surface is given. The curves are asymmetrical with respect to the center line, while at the center there is no variation through the layer. The corresponding curves for the secondary boundary layer at the base do not exhibit this characteristic, but instead increase monotonically from zero to unity.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- September 1984
- Bibcode:
- 1984STIN...8722159C
- Keywords:
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- Channel Flow;
- Flow Theory;
- Magnetohydrodynamic Flow;
- Asymptotic Methods;
- Boundary Layer Flow;
- Velocity Distribution;
- Fluid Mechanics and Heat Transfer