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Abstract
Fluid transport and the associated heat transfer through porous media is of immense importance because of its numerous practical applications. In view of the widespread applications of porous media flow, the present study attempts to investigate the forced convective heat transfer in the limiting condition for the flow through porous channel. There could be many areas, where heat transfer through porous channel attain some limiting conditions, thus, the analysis of limiting convective heat transfer is far reaching. The primary aim of the present study is focused on the limiting forced convection analysis considering the flow of Newtonian fluid between two asymmetrically heated parallel plates filled with saturated porous media. Utilizing a few assumptions, which are usually employed in the literature, an analytical methodology is executed to obtain the closed-form expression of the temperature profile, and in the following the expression of the limiting Nusselt numbers. The parametric variations of the temperature profile and the Nusselt numbers in different cases have been shown highlighting the influential role of different performance indexing parameters, like Darcy number, porosity of the media, and Brinkman number of forced convective heat transfer in porous channel. In doing so, the underlying physics of the transport characteristics of heat has been delineated in a comprehensive way. Moreover, a discussion has been made regarding an important feature like the onset of point of singularity as appeared on the variation of the Nusselt number from the consideration of energy balance in the flow field, and in view of second law of thermodynamics.
Highlights
Flow through porous media and the associated heat transfer is of essential importance in view of diversified engineering applications, which includes nuclear waste disposal, exploration of uranium ore, nuclear reactor, and electronic cooling to name a few
The motivation of the present study stems from the earlier reported work on limiting forced convective heat transfer in non-porous duct studied by Repaka and Satyamurty (2010), while the present study focuses on the forced convective heat transfer characteristics in the limiting condition in the presence of saturated porous media between two asymmetrically heated parallel plates, aiming toward the exploration of the individual effect of viscous dissipation, internal heat generation, and the effect of porosity on the thermal transport characteristics of heat in a comprehensive way
The primary focus of the present study is to explore the heat transfer characteristics in the conduction limit for the flow of Newtonian fluid between two asymmetrically heated parallel plates filled with saturated porous media as mentioned before
Summary
Flow through porous media and the associated heat transfer is of essential importance in view of diversified engineering applications, which includes nuclear waste disposal, exploration of uranium ore, nuclear reactor, and electronic cooling to name a few. The fundamentals of flow physics in porous media turn out to be an important issue in the context of convective heat transfer analysis in many practical relevance. The analysis of convective heat transfer in any system is fundamentally involved with the transport phenomena of fluid through that system. In one side the complex nature of the flow through porous media along with its widespread practical applications on the other extreme compelled many researchers to consider and deeply involved with the transport phenomena of heat and fluid in porous media in a comprehensive way (Nield et al 2003b, 2004a; Nield and Kuznetsov 2009; Haji-Sheikh and Vafai 2004; Sundaravadivelu and Tso 2003)
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