Effect of variable porosity on laminar convection in a uniformly heated vertical porous channel

Laminar Convection in a Uniformly Heated Vertical Porous Channel Revisited

“…Following the model and assumptions of Chandrasekhara [11], the momentum and energy equations and their respectively boundary conditions in dimensionless form are as follows:…”

“…Flow formation changes from forced convection dominated to free convection dominated as Rayleigh number increases. Chandrasekhara and Radha [11] studied two situations of laminar convection in a uniformly heated vertical porous channel, namely steady heating of ascending cold fluid and steady cooling of ascending hot fluid. They concluded that increase in porosity parameter decreases both the velocity, temperature and mass flow rate but increase the rate of heat transfer.…”

“…The purpose of this paper is to present an exact solution to laminar convection in a uniformly heated vertical porous channel proposed by Chandrasekhara [11] by the use of D'Alembert's approach. Closed form expressions are obtained for fluid temperature, velocity and rate of heat transfer.…”

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Abstract:This work revisited the mixed convection flow formation in a uniformly heated vertical porous channel filled with porous material as discussed by Chandrasekhara and Nayrayanan [11]. Using perturbation method as well as numerical solution, Chandrasekhara and Nayrayanan [11] discussed the behavior of the fluid as well as rate of heat transfer.

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“…This methods are known not to be exact solution. In this work, we derived an exact solution using D'Alembert's method and corrected some results obtained in [11]. To justify the accuracy of the present method, we used the implicit finite difference method (IFDM).…”