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Low Prandtl Number Magnetoconvection in Cavities: Effect of Variable Thermal Conductivity
Author(s) -
Saravanan S.,
Kandaswamy P.
Publication year - 2000
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 - 10.1002/1521-4001(200008)80:8<570::aid-zamm570>3.0.co;2-5
Subject(s) - prandtl number , thermal conductivity , streamlines, streaklines, and pathlines , buoyancy , nusselt number , mechanics , magnetic prandtl number , heat transfer , physics , natural convection , thermodynamics , lorentz force , thermal conduction , convection , magnetic field , materials science , rayleigh number , reynolds number , turbulence , quantum mechanics
Convection in a low Prandtl number fluid driven by the combined mechanism of buoyancy and surface tension is investigated in the presence of a uniform vertical magnetic field. The fluid is contained in a square cavity with the upper surface open and isothermal vertical walls. The thermal conductivity k of the fluid is assumed to vary linearly with temperature. The governing equations are solved using ADI and SOR numerical techniques. The heat transfer is found to decrease appreciably across the cavity with a decrease in k . The accumulation of streamlines by Lorentz force is seen for linearly varying k .