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Magnetohydrodynamic Flow in a Rectangular Pipe between Conducting Plates
Author(s) -
Sloan D. M.,
Smith P.
Publication year - 1966
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19660460705
Subject(s) - magnetohydrodynamic drive , laminar flow , hartmann number , mechanics , magnetic field , exact solutions in general relativity , compressibility , flow (mathematics) , magnetohydrodynamics , pipe flow , physics , viscous liquid , transverse plane , classical mechanics , mathematics , mathematical analysis , engineering , structural engineering , turbulence , quantum mechanics
An exact solution is presented for the steady laminar flow of a viscous, incompressible, electrically conducting liquid in a rectangular pipe between conducting plates under the influence of an imposed transverse magnetic field. The problem is of particular interest since it is one of the few in which the induced magnetic field can be matched between the liquid and the plates. Numerical results are included for the exact solution and for an asymptotic representation suitable for large Hartmann numbers.