Numerical study of biomagnetic fluid flow over a stretching sheet with heat transfer

In the present work, a Chebyshev pseudospectral method for the numerical solution of the two-dimensional, laminar, incompressible, viscous flow of a biomagnetic fluid over a stretching sheet under the action of an applied magnetic field and in the presence of heat transfer is applied and demonstrated In this problem, it is assumed that the magneto-thermo-mechanical coupling is described not only by a function of temperature but by an expression involving also the magnetic field intensity. The numerical method used for the solution of the coupled and non-linear boundary value problem of ordinary differential equations, describing this physical problem, achieves high accuracy using relatively few nodal points. A comparison with numerical results, obtained by using a finite difference method is also made, showing the efficiency of the Chebyshev pseudospectral method.