Non-Darcian Forced Convection in Porous Media With Anisotropic Dispersion

1995 ◽  
Vol 117 (2) ◽  
pp. 447-451 ◽  
Author(s):  
P. Adnani ◽  
I. Catton ◽  
M. A. Abdou
Keyword(s):  
Heat Transfer ◽  
Experimental Data ◽  
Porous Media ◽  
Axial Dispersion ◽  
Governing Equations ◽  
Developing Region ◽  
Radial Dispersion ◽  
Anisotropic Dispersion ◽  
Convection In Porous Media ◽  
Thermally Developing Region

Convective heat transfer in a particle packed tube is modeled in this paper. Axial and radial dispersion are both included in the governing equations. Results are compared with experimental data, and with previously developed models that did not include axial dispersion. It is shown that heat transfer in the thermally developing region is affected by axial dispersion when Peclet number is smaller than 10. Graphic results are provided to show the importance of axial dispersion for various Peclet numbers.

scholarly journals Mathematical Modeling of Fluid Flow and Heat Transfer in Petroleum Industries and Geothermal Applications

Energies ◽  
2020 ◽  
Vol 13 (6) ◽  
pp. 1344
Author(s):  
Mehrdad Massoudi
Keyword(s):  
Mathematical Modeling ◽  
Heat Transfer ◽  
Porous Media ◽  
Fluid Flow ◽  
Heat Exchanger ◽  
Ground Heat Exchanger ◽  
Special Issue ◽  
Flow And Heat Transfer ◽  
Convection In Porous Media

This Special Issue of Energies is dedicated to all aspects of fluid flow and heat transfer in geothermal applications, including the ground heat exchanger, conduction, and convection in porous media [...]

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.

Statistics of Mathematical Two-Scale Closure of Momentum, Heat and Charge Transport Problems With Stochastic Orientation of Porous Medium Capillaries

2001 ◽  
Author(s):  
V. S. Travkin ◽  
K. Hu ◽  
I. Catton
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Porous Media ◽  
Volume Averaging ◽  
Governing Equations ◽  
Rigorous Approach ◽  
Flow And Heat Transfer ◽  
Model Flow ◽  
History Of ◽  
Transport Problems

Abstract The history of stochastic capillary porous media transport problem treatments almost corresponds to the history of porous media transport developments. Volume Averaging Theory (VAT), shown to be an effective and rigorous approach for study of transport (laminar and turbulent) phenomena, is used to model flow and heat transfer in capillary porous media. VAT based modeling of pore level transport in stochastic capillaries results in two sets of scale governing equations. This work shows how the two scale equations could be solved and how the results could be presented using statistical analysis. We demonstrate that stochastic orientation and diameter of the pores are incorporated in the upper scale simulation procedures. We are treating this problem with conditions of Bi for each pore is in a range when Bi ≳ 0.1 which allows even greater distinction in assessing an each additional differential, integral, or integral-differential term in the VAT equations.

Lattice-Boltzmann Scheme for Natural Convection in Porous Media

1997 ◽  
Vol 08 (04) ◽  
pp. 879-888 ◽  
Author(s):  
R. G. M. Van Der Sman
Keyword(s):  
Heat Transfer ◽  
Porous Media ◽  
Natural Convection ◽  
Simple Model ◽  
Analytical Solutions ◽  
Lattice Boltzmann ◽  
Transfer Problem ◽  
Cubic Lattice ◽  
Convection In Porous Media ◽  
Lattice Boltzmann Scheme

A lattice-Boltzmann scheme for natural convection in porous media is developed and applied to the heat transfer problem of a 1000 kg potato packaging. The scheme has features new to the field of LB schemes. It is mapped on a orthorhombic lattice instead of the traditional cubic lattice. Furthermore the boundary conditions are formulated with a single paradigm based upon the particle fluxes. Our scheme is well able to reproduce (1) the analytical solutions of simple model problems and (2) the results from cooling down experiments with potato packagings.

scholarly journals Experimental study of forced convection heat transport in porous media

2017 ◽  
Author(s):  
Nicola Pastore ◽  
Claudia Cherubini ◽  
Dimitra Rapti ◽  
Concetta I. Giasi
Keyword(s):  
Heat Transfer ◽  
Experimental Data ◽  
Experimental Study ◽  
Porous Medium ◽  
Porous Media ◽  
Heat Transport ◽  
Forced Convection ◽  
Convection Heat Transfer ◽  
Convection Heat ◽  
Forced Convection Heat Transfer

Abstract. The knowledge of the dynamics of forced convection heat transfer in porous media is relevant in order to optimize the efficiency of geothermal installations in aquifers. In some applications groundwater is used directly as thermal fluid. The system uses one or several drilling holes to pump and deliver groundwater with a heat exchange system at surface (open loop). Other applications use vertical borehole heat exchangers without injection or extraction of groundwater (closed loop). In both systems the convection flow dynamics in porous media play an important role on the heat production. The present study is aimed at extending this thematic issue through heat transport experiments and their interpretation at laboratory scale. An experimental study to evaluate the dynamics of forced convection heat transfer in a thermally isolated column filled with porous medium has been carried out. The behavior of two porous media having different grain sizes and specific surfaces has been observed. The experimental data have been compared with an analytical solution for one dimensional heat transport for local non thermal equilibrium condition. The interpretation of the experimental data shows that, the heterogeneity of the porous medium affects heat transport dynamics causing a channeling effect which has consequences on thermal dispersion phenomena and heat transfer between fluid and solid phases limiting the capacity to store or dissipate heat in the porous medium.

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