Thermoelectric MHD with modified Fourier's law

A new mathematical model for electromagnetic thermofluid equation heat transfer with thermoelectric properties using the methodology of fractional calculus is constructed. The theories of coupled thermoelectric fluid and of generalized thermoelectric fluid with one relaxation time follow as limit cases [1]. The governing coupled equations in the frame of the boundary layer model are applied to Stokes' first problem with heat sources. Laplace transform and state space techniques [2] are used to get the solution. According to the numerical results and its graphs, conclusion about the new theory of thermoelectric MHD has been constructed. (C) 2010 Elsevier Masson SAS. All rights reserved.