Abstract
We introduced a magnetohydrodynamic model of boundary-layer equations for a perfectly conducting fluid. This model is applied to study the effects of free convection currents with one relaxation time on the flow of a viscous perfectly conducting fluid. The state space approach developed in [M. Ezzat, J. Appl. Math. Comput. 64 (1995) 191; M. Ezzat, Can. J. Phys. 1 (1994) 311] is adopted for the solution of one-dimensional transient problems. The 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. Numerical results are illustrated graphically for each problem.