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Journal of Applied Mechanics and Technical Physics

2016 year, number 5

Analysis of Heat Transfer Over a Plate in a Porous Medium with a Convective Boundary Condition

S. Mukhopadhyay, I. Ch. Mandal
The University of Burdwan, Burdwan-713104,India
Keywords: вынужденное конвективное течение, пористая среда, модель Дарси - Форгеймера - Бринкмана, автомодельные решения, конвективные граничные условия, forced convective flow, porous medium, Darcy--Forchheimer--Brinkman model, similarity solutions, convective boundary condition

Abstract

Heat transfer characteristics of an incompressible viscous fluid past a plate embedded into a porous medium with a convective boundary condition are obtained by using the Darcy-Forchheimer-Brinkman model. The governing partial differential equations are reduced to nonlinear ordinary differential equations, and similarity solutions are obtained. The similarity equations are solved numerically. With increasing convective parameter, the surface temperature increases. The rate of heat transfer increases as the Prandtl number increases.

DOI: 10.1134/S0021894416050230