Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9506294 | Applied Mathematics and Computation | 2005 | 20 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
A.A. El-Bary,