2026-09-20T04:26:12Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/68507 2023-07-11 col_2142_5131 col_2142_46414 com_2142_5130 com_2142_178 com_2142_234

Hays, Paul Robert 2014-12-14T14:42:19Z 2014-12-14T14:42:19Z 10000-01-01 1980 1980 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 non-uniform 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 non-trivial 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 forty-eight 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. Made available in DSpace on 2014-12-14T14:42:19Z (GMT). No. of bitstreams: 1 8026515.pdf: 1259662 bytes, checksum: 01f25cdb82d09f5d51026bf2b662a47c (MD5) Previous issue date: 1980 Embargo set by: Seth Robbins for item 68685 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 55 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1980. http://hdl.handle.net/2142/68507 (UMI)AAI8026515 eng Applied Mechanics Energy Three-Dimensional Analysis of Boundary Layers in Magnetohydrodynamic Open Channel Flow text Theoretical and Applied Mechanics Theoretical and Applied Mechanics University of Illinois at Urbana-Champaign Dissertation Ph.D.