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.
Tzirtzilakis, E. and Tanoudis, G. (2003), "Numerical study of biomagnetic fluid flow over a stretching sheet with heat transfer", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 13 No. 7, pp. 830-848. https://doi.org/10.1108/09615530310502055Download as .RIS
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