zbMATH — the first resource for mathematics

Laminar natural convection heat and mass transfer from a horizontal surface in non-Darcy porous media. (English) Zbl 1159.76379
Summary: In this paper, the series method is exploited to solve the problem of nonlinear convection in porous a plate with Forchheimer-Boussinesq approximations. The conservation equations that govern the problem are transformed into an infinite number of nonlinear ordinary differential equations in terms of perturbation function. These coupled nonlinear equations are solved numerically using the fourth-order Runge-Kutta method and Newton-Raphson technique. The numerical results of the physical parameters are presented in x-y plots. The validity of our series solution is verified with the heat transfer results of P. Cheng and I. Chang [Int. J. Heat Mass Transfer 19, 1267–1272 (1976; Zbl 0358.76060 )] for Darcy flow.

76R10 Free convection
76S05 Flows in porous media; filtration; seepage
76M25 Other numerical methods (fluid mechanics) (MSC2010)
80A20 Heat and mass transfer, heat flow (MSC2010)
Full Text: DOI