Three dimensional analysis of boundary layers in magnetohydrodynamic open channel flow
Abstract
The pumping of liquid metals through open channels by MHD effects can be applied to slag separation or continuous casting processes by the metallurgy industry. This study involves the analysis of the boundary layer structure of nonuniform open channel flow in a rectangular channel, with perfectly conducting sidewalls, an insulating bottom, and a uniform magnetic field applied perpendicular to the bottom, the plane of which is sloped with respect to the horizontal. To supply the nontrivial three dimensional sidewall boundary layer structure a boundary value problem is posed and reduced to two integral equations coupled in two unknowns. The twenty four point Gauss Legendre quadrature scheme used to represent the integrals leads to a set of fortyeight simultaneous equations which is solved numerically for the unknowns. Once obtained, these unknowns are used in the numerical calculation of sample velocity profiles which illustrate and contrast MHD effects in open channel and closed duct flows.
 Publication:

Ph.D. Thesis
 Pub Date:
 1980
 Bibcode:
 1980PhDT........80H
 Keywords:

 Boundary Layers;
 Channel Flow;
 Liquid Metals;
 Magnetohydrodynamics;
 Boundary Value Problems;
 Ducted Flow;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer