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Computational treatment of free convection effects on perfectly conducting viscoelastic fluid. (English) Zbl 1103.76066

Summary: We introduced a magnetohydrodynamic model of boundary-layer equations for a perfectly conducting viscoelastic fluid. This model is applied to study the effects of free convection currents with one relaxation time on the flow of a perfectly conducting viscoelastic fluid through a porous medium, which is bounded by a vertical plane surface. The state space approach is adopted for the solution of one-dimensional problems. The resulting formulation together with the Laplace transform technique is applied to a thermal shock problem and a problem for the flow between two parallel fixed plates, both without heat sources. Also a problem for the semi-infinite space in the presence of heat sources is considered. A discussion of the effects of cooling and heating on a perfectly conducting viscoelastic fluid is given. Numerical results are illustrated graphically for each problem considered.

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
76R10 Free convection
76A10 Viscoelastic fluids
76S05 Flows in porous media; filtration; seepage
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References:

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