One-Dimensional Problem of a Conducting Viscous Fluid with One Relaxation Time

Abstract EN

We introduce a magnetohydrodynamic model of boundary-layer equations for conducting viscous fluids.

This model is applied to study the effects of free convection currents with thermal relaxation time on the flow of a viscous conducting fluid.

The method of the matrix exponential formulation for these equations is introduced.

The resulting formulation together with the Laplace transform technique is applied to a variety problems.

The effects of a plane distribution of heat sources on the whole and semispace are studied.

Numerical results are given and illustrated graphically for the problem.