Effect of Power Law Exponent in the Cheng-Minkowycz Natural Convection Nanofluid Flow along a Vertical Plate Embedded in Porous Media
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Abstract
The present study considers the natural convection flow in the Cheng-Minkowycz problem and a vertical plate in a porous medium. Brownian motion and thermophoresis effects are accounted for in the nanofluid model. The Darcy model is applied for the porous medium. A common similarity transformation converts the partial differential system that governs the problem into an ordinary system. The numerical solutions to the ordinary system produce the desired results. These solutions depend on the power-law exponent (λ), buoyancy-ratio (Nr), Lewis number (Le), thermophoresis parameter (Nt) and Brownian motion parameter (Nb). The dependency of the Nusselt number on these five parameters is investigated numerically and graphically. Natural convective heat transfer in porous media finds applications in various industries including solar power, geothermal systems, electronic equipment cooling, nuclear reactors, lubricants, groundwater control, waste disposal, etc.
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