Darcy-Brinkman free convection from a heated horizontal surface


Rees, D. A. S. and Vafai, K., 1999. Darcy-Brinkman free convection from a heated horizontal surface. Numerical Heat Transfer Part A - Applications, 35 (2), pp. 191-204.

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The free convection boundary layer flow of a Darcy-Brinkman fluid that is induced by a constant-temperature horizontal semi-infinite surface embedded in a fluid-saturated porous medium is investigated in this work. It is shown that both the Darcy and Rayleigh numbers may be scaled out of the boundary layer equations, leaving a parabolic system of equations with no parameters to vary. The equations are studied using both numerical and asymptotic methods. Near the leading edge the boundary layer has a double-layer structure: a near-wall layer, where the temperature adjusts from the wall temperature to the ambient and where Brinkman effects dominate, and an outer layer of uniform thickness that is a momentumadjustment layer. Further downstream, these layers merge, but the boundary layer eventually regains a two-layer structure; in this case, a growing outer layer exists, which is identical to the Darcy-flow case for the leading order term, and an inner layer of constant thickness resides near the surface, where the Brinkman term is important.


Item Type Articles
CreatorsRees, D. A. S.and Vafai, K.
DepartmentsFaculty of Engineering & Design > Mechanical Engineering
ID Code13055


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