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Zbl 1217.76071
Awad, F.G.; Sibanda, P.; Motsa, S.S.; Makinde, O.D.
Convection from an inverted cone in a porous medium with cross-diffusion effects. (English)
[J] Comput. Math. Appl. 61, No. 5, 1431-1441 (2011). ISSN 0898-1221

Summary: Convection from an inverted cone in a porous medium with cross-diffusion is studied numerically. Diffusion-thermo and thermo-diffusion effects are assumed to be significant. The governing equations are transformed into nonlinear ordinary differential equations and then solved numerically using a shooting method together with a sixth order Runge-Kutta method. Verification of the accuracy and correctness of the results is achieved by solving the equations using an independent linearisation method. The effects of the Dufour and the Soret parameters are investigated. The results for the skin friction, Nusselt number and the Sherwood number are presented graphically and in tabular form.

MSC 2000:: *76S05 Flows in porous media
65L06 Multistep, Runge-Kutta, and extrapolation methods
76R10 Free convection
65L10 Boundary value problems for ODE (numerical methods)
76M25 Other numerical methods

Keywords: inverted cone; cross-diffusion; numerical solution; linearisation method

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Zentralblatt MATH Berlin [Germany]