Journal ArticleDOI
Convective flow and heat transfer in variable-porosity media
TLDR
In this paper, the effects of variable porosity and inertial forces on convective flow and heat transfer in porous media were analyzed and a numerical scheme for the solution of the governing equations was proposed to investigate the variable-porosity effects on the velocity and temperature fields inside the porous medium.Abstract:
The present work analyses the effects of variable porosity and inertial forces on convective flow and heat transfer in porous media. Specific attention is given to forced convection in packed beds in the vicinity of an impermeable boundary. After establishing the governing equations, a thorough investigation of the channelling effect and its influence on flow and heat transfer through variable-porosity media is presented. Based on some analytical considerations, a numerical scheme for the solution of the governing equations is proposed to investigate the variable-porosity effects on the velocity and temperature fields inside the porous medium. The method of matched asymptotic expansions is used to show the qualitative aspects of variable porosity in producing the channelling effect. These qualitative features are also confirmed by the numerical solution. The qualitative effects of the controlling parameters on flow and heat transfer in variable-porosity media are discussed at length. The variable-porosity effects are shown to be significant for most cases. For the same conditions as the perturbation solution, the numerical results are in excellent agreement with the perturbation analysis. The numerical results are also in very good agreement with the available experimental data of previous studies.read more
Citations
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Journal ArticleDOI
The role of porous media in modeling flow and heat transfer in biological tissues
TL;DR: The main concepts studied in this review are transport in porous media using mass diffusion and different convective flow models such as Darcy and the Brinkman models as mentioned in this paper, and energy transport in tissues is also analyzed.
Journal ArticleDOI
Thermal dispersion in a porous medium
C.T. Hsu,Ping Cheng +1 more
TL;DR: The thermal dispersion conductivity tensor for convection in a porous medium is derived based on the method of volume averaging of the velocity and temperature deviations in the pores.
Journal ArticleDOI
Analysis of dispersion effects and non-thermal equilibrium, non-Darcian, variable porosity incompressible flow through porous media
A. Amiri,Kambiz Vafai +1 more
TL;DR: In this paper, a numerical simulation of forced convective incompressible flow through porous media, and the associated transport processes was employed, and a full general model for the momentum equation was employed.
Journal ArticleDOI
Natural convective heat transfer in a fluid saturated variable porosity medium
TL;DR: In this article, a generalised non-Darcian porous medium model for natural convective flow has been developed taking into account linear and non-linear matrix drag components as well as the inertial and viscous forces within the fluid.
Journal ArticleDOI
Analysis of flow and heat transfer at the interface region of a porous medium
Kambiz Vafai,R. Thiyagaraja +1 more
TL;DR: In this article, the authors analyzed the flow and heat transfer at the interface region for three general and fundamental classes of problems in porous media and derived detailed analytical solutions for both the velocity and temperature distributions for all of these interface conditions.
References
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Journal ArticleDOI
Boundary and inertia effects on flow and heat transfer in porous media
Kambiz Vafai,Chuen-Lin Tien +1 more
TL;DR: In this article, the effects of a solid boundary and the inertial forces on flow and heat transfer in porous media were analyzed, and a new concept of the momentum boundary layer central to the numerical routine was presented.
Journal ArticleDOI
Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike
Ping Cheng,W. J. Minkowycz +1 more
TL;DR: In this article, an analysis is made for steady free convection about a vertical flat plate embedded in a saturated porous medium at high Rayleigh numbers, where boundary layer thickness, local and overall surface heat flux, and local and average heat transfer coefficients are derived for an isothermal dike intruded in an aquifer.
Journal ArticleDOI
Void fraction distribution in beds of spheres
R. F. Benenati,C. B. Brosilow +1 more
TL;DR: The radial variation of void fraction within a packed bed of uniform spheres has been found to vary from unity at the wall to about 38% in the interior of large beds.