Boundary Layer Associated with the Darcy-brinkman-boussinesq Model for Convection in Porous Media
نویسندگان
چکیده
We study the asymptotic behavior of the infinite Darcy-Prandtl number DarcyBrinkman-Boussinesq system for convection in porous media at small Brinkman-Darcy number. The existence of a boundary layer with thickness proportional to the square root of the BrinkmanDarcy number for the velocity field is established in both the L∞(H1) norm (2 and 3 d) and the L∞(L∞) norm (2d only). This improves an earlier result of Payne and Straughan [42] where the vanishing Brinkman-Darcy number limit is studied without resolving the boundary layer.
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