Discussion: “The Modeling of Viscous Dissipation in a Saturated Porous Medium” (Nield, D. A., 2007, ASME J. Heat Transfer, 129, pp. 1459–1463)

2008 ◽  
Vol 131 (2) ◽  
Author(s):  
V. A. F. Costa
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Viscous Dissipation ◽  
Saturated Porous Medium

Thermal Viscous Dissipative Couette Flow in a Porous Medium Filled Microchannel

2016 ◽  
Author(s):  
Farrukh Mirza Baig ◽  
G. M. Chen ◽  
B. K. Lim
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Nusselt Number ◽  
Couette Flow ◽  
Viscous Dissipation ◽  
Saturated Porous Medium ◽  
Local Thermal Equilibrium ◽  
Uniform Heat Flux ◽  
Brinkman Number ◽  
Essential Information

The increasing demand for high-performance electronic devices and surge in power density accentuates the need for heat transfer enhancement. In this study, a thermal viscous dissipative Coeutte flow in a micochannel filled with fluid saturated porous medium is looked into. The study explores the fluid flow and heat transfer phenomenon for a Coeutte flow in a microchannel as well as to establish the relationship between the heat convection coefficient and viscous dissipation. The moving boundary in this problem is subjected to uniform heat flux while the fixed plate is assumed adiabatic. In order to simplify the problem, we consider a fully developed flow and assume local thermal equilibrium in the analysis. An analytical Nusselt number expression is developed in terms of Brinkman number as a result of this study, thus providing essential information to predict accurately the thermal performance of a microchannel. The results obtained without viscous dissipation are in close agreement with published results whereas viscous dissipation has a more significant effect on Nusselt number for a porous medium with higher porous medium shape factor. The Nusselt number versus Brinkman number plot shows an asymptotic Brinkman number, indicating a change in sign of the temperature difference between the bulk mean temperature and the wall temperature. The effects of Reynolds number on the two dimensional temperature profile for a Couette flow in a microchannel are investigated. The temperature distribution of a microscale duct particularly along the axial direction is a strong function of viscous dissipation. The significance of viscous dissipation to a microscale duct as compared to a conventional scale duct is also discussed and compared in this study.

scholarly journals Modelling fluid flow and heat transfer in a saturated porous medium

2000 ◽  
Vol 4 (2) ◽  
pp. 165-173 ◽  
Author(s):  
D. A. Nield
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Porous Medium ◽  
Fluid Flow ◽  
Viscous Dissipation ◽  
Single Phase ◽  
Saturated Porous Medium ◽  
Inertial Effects ◽  
Flow And Heat Transfer ◽  
Phase Fluid

Since the days of Darcy, many refinements have been made to the equations used to model single-phase fluid flow and heat transfer in a saturated porous medium, to allow for such basic things as inertial effects, boundary friction and viscous dissipation, and also additional effects such as those due to rotation or a magnetic field. These developments are reviewed.

scholarly journals Homotopy perturbation and numerical solutions for MHD flow of PTT fluid through a channel embedded in a porous medium

2021 ◽  
Author(s):  
Swain B.K ◽  
◽  
Das M ◽  
Dash G.C ◽  
◽  
...  
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Viscous Dissipation ◽  
Flow Model ◽  
Numerical Solutions ◽  
Fluid Model ◽  
Saturated Porous Medium ◽  
Deborah Number ◽  
Homotopy Perturbation ◽  
Ptt Fluid

An analysis is made of the steady one dimensional flow and heat transfer of an incompressible viscoelastic electrically conducting fluid (PTT model) in a channel embedded in a saturated porous medium. The pressure driven flow is subjected to a transverse magnetic field of constant magnetic induction (field strength). The heat transfer accounts for the viscous dissipation. The governing equation (a non-linear ordinary differential equation) is solved analytically (Homotopy Perturbation Method) and numerically (Runge-Kutta method with shooting technique) providing the consistency of the result. The role of Deborah number substantiates both Newtonian and non-Newtonian aspects of the flow model. The inclusion of two body forces affects rheological property of the flow model considered. Temperature distribution in the boundary layer is shown when the channel surfaces are held at constant temperatures. A novel result of the analysis is that the contribution of viscous dissipation is found to be negligible as the variation of temperature is almost linear across the flow field in the present PTT fluid model indicating preservation of thermal energy loss.

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