scholarly journals THERMAL DISPERSION WITHIN A POROUS MEDIUM NEAR A SOLID WALL

Equipment ◽  
2006 ◽  
Author(s):  
T. Simon ◽  
G. McFadden ◽  
M. Ibrahim
Keyword(s):  
Porous Medium ◽  
Solid Wall ◽  
Thermal Dispersion

Non-Darcy Mixed Convection With Thermal Dispersion in a Saturated Porous Medium

2009 ◽  
Vol 132 (1) ◽  
Author(s):  
V. V. Sobha ◽  
R. Y. Vasudeva ◽  
K. Ramakrishna ◽  
K. Hema Latha
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Porous Media ◽  
Nusselt Number ◽  
Mixed Convection ◽  
Vertical Plate ◽  
Saturated Porous Medium ◽  
Thermal Dispersion ◽  
Convection In Porous Media ◽  
Infinite Vertical Plate

Thermal dispersion due to local flows is significant in heat transfer with forced convection in porous media. The effects of parametrized melting (M), thermal dispersion (D), inertia (F), and mixed convection (Ra/Pe) on the velocity distribution, temperature, and Nusselt number on non-Darcy, mixed convective heat transfer from an infinite vertical plate embedded in a saturated porous medium are examined. It is observed that the Nusselt number decreases with increase in melting parameter and increases with increase in thermal dispersion.

Analytical Investigation of the Effect of Thermal Dispersion on Forced Convection in Heterogeneous Porous Media

2001 ◽  
Author(s):  
A. V. Kuznetsov
Keyword(s):  
Porous Media ◽  
Nusselt Number ◽  
Forced Convection ◽  
Boundary Layers ◽  
Solid Wall ◽  
Reynolds Numbers ◽  
Analytical Investigation ◽  
Heterogeneous Porous Media ◽  
Thermal Dispersion ◽  
Energy Equations

Abstract This paper presents a new analytical solution of a problem of forced convection in a heterogeneous channel filled with two different layers of isotropic porous media. The Brinkman-Forchheimer-extended Darcy equation is utilized to describe the fluid flow in the porous layers, and the effect of transverse thermal dispersion is accounted for in the energy equations. Three momentum boundary layers are identified in the channel: a boundary layer at the solid wall and two boundary layers at the interface between the porous media. The dependence of the Nusselt number on the Darcy numbers, Forchheimer coefficients, and particle Reynolds numbers in different parts of the channel is investigated. This study demonstrates that thermal dispersion has a strong effect on the Nusselt number in the channel for large particle Reynolds numbers.

Entropy Generation Analysis in Nonlinear Convection Flow of Thermally Stratified Fluid in Saturated Porous Medium With Convective Boundary Condition

2017 ◽  
Vol 139 (9) ◽  
Author(s):  
B. Vasu ◽  
Ch. RamReddy ◽  
P. V. S. N. Murthy ◽  
Rama Subba Reddy Gorla
Keyword(s):  
Boundary Condition ◽  
Porous Medium ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Entropy Generation ◽  
Entropy Generation Rate ◽  
Local Similarity ◽  
Surface Boundary ◽  
Thermal Dispersion ◽  
Partial Differential

This article emphasizes the significance of entropy generation analysis and nonlinear temperature density relation on thermally stratified viscous fluid flow over a vertical plate embedded in a porous medium with a thermal dispersion effect. In addition, the convective surface boundary condition is taken into an account. By using the suitable transformations, the governing flow equations in dimensional form are converted into set of nondimensional partial differential equations. Then the local similarity and nonsimilarity procedures are applied to transform the set of nondimensional partial differential equations into set of ordinary differential equations and then the resulting system of equations are solved by Chebyshev spectral collocation method along with the successive linearization. The effect of pertinent parameters, namely, Biot number, mixed convection parameter, and thermal dispersion on velocity, temperature, entropy generation rate, and heat transfer rate are displayed graphically and the salient features are explored in detail.

FRACTAL DIMENSIONS FOR MULTIPHASE FRACTAL MEDIA

Fractals ◽  
2006 ◽  
Vol 14 (02) ◽  
pp. 111-118 ◽  
Author(s):  
BOMING YU
Keyword(s):  
Porous Medium ◽  
Fractal Theory ◽  
Fractal Dimensions ◽  
Thermal Dispersion ◽  
Phase Content ◽  
Empirical Constant ◽  
Fractal Media ◽  
Content Ratio ◽  
Proposed Model ◽  
Three Phase

The simple expressions for the fractal dimensions of multiphase fractal media are derived and are found to be a function of porosity, phase content, ratio of the maximum to minimum pore sizes. There is no any empirical constant in the proposed fractal dimensions. For the three-phase fractal porous medium or unsaturated porous medium, the fractal dimensions are found to be meaningful only in certain ranges of saturation Sw, i.e. Sw > S min for wetting phase and Sw < S max for non-wetting phase for a given porosity, based on real porous media for requirements from both fractal theory and experimental observations. The present analysis of the fractal dimensions is verified by a comparison with the existing experimental measurements. It allows for the analysis of transport properties such as permeability, thermal dispersion, and conductivities (both thermal and electrical) in multiphase fractal media by the proposed model.

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