||INTEGRAL METHOD FOR ANALYZING NATURAL CONVECTION OF NONNEWTONIAN FLUID ALONG A VERTICAL HEATED PLATE IN ANISOTROPIC POROUS MEDIUM
AKOWANOU CHRISTIAN D. ,
DEGAN GÉRARD ,
||Journal of Applied Science and Technology (JAST)
||An analytical study of natural convection boundary-layer flow along a vertical plate embedded in an anisotropic
porous medium saturated by a non-Newtonian fluid has been conducted. The principal axis of permeability
anisotropy was oriented in oblique direction to the gravity vector. A power-law variation of wall temperature
was prescribed at the vertical plate, and in the Darcy-Rayleigh number limit (Rax > 100), a boundary-layer
solution based on the integral relations approach was assumed. Scale analysis was applied to determine the
order of magnitudes involved in the boundary-layer regime. Analytical expressions were obtained for the
boundary-layer thickness and the mean Nusselt number in terms of the governing parameters of the problem.
When the power-law exponent was made smaller, the convective flow along the plate became stronger. When
the porous matrix was oriented such that the principal axis of higher permeability was parallel to the gravity, the
convective heat transfer along the plate attained maximum value.
||boundary-layer - natural convection- anisotropic porous medium - non-Newtonian fluid- Heat transfer
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