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The Rotation of a Conducting Liquid in a Uniform Transverse Magnetic Field
Author(s) -
Smith P.
Publication year - 1964
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.19640441010
Subject(s) - streamlines, streaklines, and pathlines , reynolds number , magnetic field , cylinder , physics , transverse plane , mechanics , transverse magnetic , hartmann number , rotation (mathematics) , angular velocity , compressibility , magnetic reynolds number , constant angular velocity , perturbation (astronomy) , condensed matter physics , rotating magnetic field , classical mechanics , geometry , mathematics , quantum mechanics , turbulence , structural engineering , nusselt number , engineering
The effect of a uniform transverse magnetic field on an incompressible conducting liquid contained in a circular cylinder rotating with constant angular velocity is investigated. The problem is treated as a perturbation one for small magnetic Reynolds and Hartmann numbers. The first order approximation shows that the core of the liquid is slowed down whilst to the second order, perturbations in the circular streamlines appear. However, the latter effects are extremely small for the cases considered here. Some results are presented for a cylinder containing mercury.