Abstract
This work is related to the flow of an electro-conducting Newtonian fluid presenting thermoelectric properties in the presence of magnetic field. The flow is considered to be governed an incompressible viscous fluid. The electro-conducting thermofluid equation heat transfer with one relaxation time is derived. The state space formulation developed in Ezzat (Can. J. Phys. Rev. 86: 1242-1450, 2008) or one-dimensional problems is introduced. The Laplace transform technique is used. The resulting formulation is applied to a thermal shock problem; that is, a problem of a layer media and a problem for the infinite space in the presence of heat sources. A numerical method is employed for the inversion of the Laplace transforms. Numerical results are given and illustrated graphically for each problem. The effects of thermoelastic properties on the thermofluid flow are studied.