Abstract
The entropy generation rate in a laminar flow through a channel filled with saturated porous media is investigated. The upper surface of the channel is adiabatic and the lower wall is assumed to have a constant heat flux. The Brinkman model is employed. Velocity and temperature profiles are obtained for large Darcy number (Da) and used to obtain the entropy generation number and the irreversibility ratio. Generally, our result shows that heat transfer irreversibility dominates over fluid friction irreversibility (i.e. 0 < ø < 1), and viscous dissipation has no effect on the entropy generation rate at the centerline of the channel.
Highlights
Studies related to laminar flow in a channel filled with saturated porous media have increased significantly during recent years
The improvement in thermal systems as well as energy utilization during the convection in any fluid is one of the fundamental problems of the engineering processes, since improved thermal systems will provide better material processing, energy conservation and environmental effects, (Makinde, [12]). Another potential application of convection processes in porous media is found in thermoacoustic prime movers and heat pumps ( Rott [15], Swift [20]), where the fluid-gap within stacks of a thermoacoustic engine/refrigerator are treated as porous media
To improve the thermal contact and heat transfer area, a porous medium of moderate permeability may be embedded inside the fluid gap between two consecutive stacks
Summary
Studies related to laminar flow in a channel filled with saturated porous media have increased significantly during recent years. The second law of thermodynamics is applied to investigate the irreversibilities in terms of the entropy generation rate. Special attention has been given to the effect of porous medium permeability on the entropy generation and irreversibility ratio. The dimensionless entropy generation number may be defined by the following relationship: Ns
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