Thermodynamically Consistent Limiting Forced Convection Heat Transfer in a Asymmetrically Heated Porous Channel: An Analytical Study

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.

Limiting thermal characteristics for flow of non-Newtonian fluids between asymmetrically heated parallel plates: An analytical study

“…The point of discontinuity in the variation of Nu1 is similar to the results available in the literature. 6,10,11,23 In order to get insight of the variation of Nu1 with Br other than the point of discontinuity, variation of Nu1 with Br is shown on the inset of Figure 6. As can be seen from the inset of Figure 6(a), the variation of Nu1 with Br is not significant for S=0.5, while for S=-0.5 there is a significant change in Nu1 with Br (<0).…”

“…Mondal and Mukherjee, 9 in their recent work, studied the effects of viscous dissipation on the heat transfer characteristics in the conduction limit for the Couette flow of power law fluids between asymmetrically heated parallel plates. Mondal 10 presented the limiting forced convection heat transfer characteristics for flow of Newtonian fluid between two asymmetrically heated parallel plates filled with saturated porous media. Mondal and Mukherjee 11 explored the viscous dissipation effects on the limiting heat transfer characteristics for the Couette flow of power law fluids between asymmetrically heated parallel plates using a semi-analytical approach.…”

Assesment of Thermodynamic Irreversibility in a Micro-Scale Viscous Dissipative Circular Couette Flow

“…To take the effect of unequal wall temperature into account, we define a parameter as characterized by the degree of asymmetrical wall heating. This asymmetrical wall heating parameter is symbolized by [ 24 , 25 ].…”

Effect of thermal asymmetries on the entropy generation analysis of a variable viscosity Couette–Poiseuille flow

“…1,3,6 Many researchers have analyzed the effects of viscous dissipation on the forced convective heat transfer in parallel plate channels and annular ducts, considering either constant heat flux or constant plate temperature thermal boundary conditions. [7][8][9][10][11] Among the above-mentioned reported studies, a few have considered an applied pressure gradient in studying the thermo-fluidic transport, 10,[12][13][14][15][16] while in some other cases the combined effects of the movement of either of the boundaries and the applied pressure gradient have been considered in describing the quantitative relation among the different physical parameters governing the thermo-fluidic transport. [17][18][19][20] It is important to mention in this context here that the thermal systems and devices are required to sustain different thermal conditions because of their applications in diversified fields/situations.…”