Flow, thermal, and entropy generation characteristics inside a porous channel with viscous dissipation

Abstract We present both analytical and numerical analyses of fully developed forced convection and entropy generation in a fluid-saturated porous medium channel bounded by two parallel plates. The flow in the porous material is described by the Darcy–Brinkman momentum equation. Differentially heated isothermal walls are selected as thermal boundary conditions. Analytical expressions for velocity, temperature, Nusselt number, entropy generation rate, and heat transfer irreversibility are obtained after simplifying and solving the governing differential equations with reasonable approximations. Subsequent results obtained by numerical calculations show excellent agreement with analytical results.

[1]  D. Ingham,et al.  A New Model for Viscous Dissipation in Porous Media Across a Range of Permeability Values , 2003 .

[2]  H. Sung,et al.  Mixed Convection from an Isolated Heat Source in a Channel with Porous Medium , 1994 .

[3]  J. L. Lage,et al.  Forced convection in a fluid-saturated porous-medium channel with isothermal or isoflux boundaries , 1996, Journal of Fluid Mechanics.

[4]  Syeda Humaira Tasnim,et al.  Entropy generation in a porous channel with hydromagnetic effect , 2002 .

[5]  S. Mahmud,et al.  Free convection in an enclosure with vertical wavy walls , 2002 .

[6]  A. Kuznetsov,et al.  Local thermal nonequilibrium effects in forced convection in a porous medium channel: a conjugate problem , 1999 .

[7]  D. Nield.  Resolution of a Paradox Involving Viscous Dissipation and Nonlinear Drag in a Porous Medium , 2000 .

[8]  M. J. Moran,et al.  Thermal design and optimization , 1995 .

[9]  H. Hadim,et al.  Forced convection of a power-law fluid in a porous channel – numerical solutions , 1998 .

[10]  Donald A. Nield,et al.  Effect of Suspended Particles on Couple-Stress Fluid Heated and Soluted from Below in Porous Medium , 2004 .

[11]  A. Hadim.  Forced Convection in a Porous Channel With Localized Heat Sources , 1994 .

[12]  Sung Jin Kim,et al.  Analysis of Surface Enhancement by a Porous Substrate , 1990 .

[13]  W. P. Arnott,et al.  Thermoacoustic engines , 1991, IEEE 1991 Ultrasonics Symposium,.

[14]  C. Tien,et al.  Effects of thermal dispersion on forced convection in fibrous media , 1988 .

[15]  Xiao-Yang Huang,et al.  Forced Convection in a Porous Channel With Discrete Heat Sources , 2001 .

[16]  M. Kaviany.  Laminar flow through a porous channel bounded by isothermal parallel plates , 1985 .

[17]  D. Poulikakos,et al.  Experiment and analysis of forced convective heat transport in a packed bed of spheres , 1988 .

[18]  An analysis on forced convection in a channel filled with a Brinkman-Darcy porous medium: Exact and approximate solutions , 1988 .

[19]  Donald A. Nield,et al.  Thermally Developing Forced Convection in a Porous Medium: Parallel-Plate Channel or Circular Tube with Walls at Constant Heat Flux , 2003 .

[20]  F. White.  Viscous Fluid Flow , 1974 .

[21]  D. Poulikakos,et al.  Forced convection in a channel filled with porous medium, including the effects of flow inertia, variable porosity, and Brinkman friction , 1987 .

[22]  A. Bejan.  Convection Heat Transfer , 1984 .

[23]  G. Swift.  Thermoacoustics: A Unifying Perspective for Some Engines and Refrigerators , 2017 .

[24]  K. Vafai,et al.  Forced Convection in a Channel Filled With a Porous Medium: An Exact Solution , 1989 .

[25]  A. Bejan.  Fundamentals of exergy analysis, entropy generation minimization, and the generation of flow architecture , 2002 .

[26]  Donald A. Nield,et al.  Thermally developing forced convection in a porous medium: parallel plate channel with walls at uniform temperature, with axial conduction and viscous dissipation effects , 2003 .

[27]  A. Bejan,et al.  Convection in Porous Media , 1992 .