Open Access

ARTICLE

Towards a Numerical Benchmark for MHD Flows of Upper-Convected Maxwell (UCM) Fluids over a Porous Stretching Sheet

R.C. Bataller¹

1 Departamento de Física Aplicada, Escuela Técnica Superior de Ingenieros de Caminos, Canalesy Puertos, Universidad Politécnica de Valencia, 46071 Valencia, Spain.

Fluid Dynamics & Materials Processing 2010, 6(3), 337-350. https://doi.org/10.3970/fdmp.2010.006.337

Abstract

The present research gathers an accurate numerical study of the laminar flow induced in an incompressible upper-convected Maxwell (UCM) fluid by a linear stretching of a flat, horizontal and porous sheet in the presence of a transverse magnetic field. The governing partial differential equations are converted into an ordinary differential equation by a similarity transformation. The effects on the velocity field over the sheet of the parameters like elasticity number, suction/blowing velocity, and magnetic parameter are also studied. It has also been attempted to show capabilities and wide-range applications of the 4thorder Runge-Kutta method in comparison with the homotopy analysis method. Knowing in boundary layer theory that velocity profiles approach the ambient fluid conditions asymptotically, our numerical solutions were carried out under the simultaneous boundary conditions at infinity: f'→0 asη→∞, and f"→0 asη→∞(f being the non-dimensional stream function). In this manner, a remarkable accuracy for the missed skin friction coefficient f"(0) can be achieved.

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Keywords

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