Thermal dispersion in porous media as a function of the solid–fluid conductivity ratio

Pedras, Marcos H. J.; Lemos, Marcelo J. S. de

doi:10.1016/j.ijheatmasstransfer.2008.04.030

Cited by 51 publications

(31 citation statements)

References 23 publications

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“…(14), the thermal dispersion depends on the thermophysical properties of the fluid phase and the temperature and the velocity fluctuations in the porous medium due to the existence of two different phases. Thus, the thermal dispersion conductivity term contains both the effects of the nonuniformities in the temperature and velocity.…”

Section: Background Of Thermal Dispersionmentioning

confidence: 99%

“…A correlation for the effective thermal diffusivity (k eff /qc p ) in the longitudinal direction was numerically found. Pedras and de Lemos [14] studied a periodic array of the longitudinally placed elliptic rods in an infinite porous medium and calculated the thermal dispersion tensor, numerically. The correlations for both x and y components of the dimensionless thermal dispersion tensor (k dis /k f ) were proposed.…”

Section: Determination Of the Thermal Dispersionmentioning

confidence: 99%

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Thermal Dispersion in Porous Media—A Review on the Experimental Studies for Packed Beds

Özgümüş¹,

Mobedi²,

Özkol

et al. 2013

Applied Mechanics Reviews

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Thermal dispersion is an important topic in the convective heat transfer in porous media. In order to determine the heat transfer in a packed bed, the effective thermal conductivity including both stagnant and dispersion thermal conductivities should be known. Several theoretical and experimental studies have been performed on the determination of the effective thermal conductivity. The aim of this study is to review the experimental studies done on the determination of the effective thermal conductivity of the packed beds. In this study, firstly brief information on the definition of the thermal dispersion is presented and then the reported experimental studies on the determination of the effective thermal conductivity are summarized and compared. The reported experimental methods are classified into three groups: (1) heat addition/removal at the lateral boundaries, (2) heat addition at the inlet/ outlet boundary, (3) heat addition inside the bed. For each performed study, the experimental details, methods, obtained results, and suggested correlations for the determination of the effective thermal conductivity are presented. The similarities and differences between experimental methods and reported studies are shown by tables. Comparison of the correlations for the effective thermal conductivity is made by using figures and the results of the studies are discussed.

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Section: Background Of Thermal Dispersionmentioning

confidence: 99%

Section: Determination Of the Thermal Dispersionmentioning

confidence: 99%

Thermal Dispersion in Porous Media—A Review on the Experimental Studies for Packed Beds

Özgümüş¹,

Mobedi²,

Özkol

et al. 2013

Applied Mechanics Reviews

View full text Add to dashboard Cite

show abstract

“…A pore-level study of such flows could give an estimate of this coefficient, but there only are few studies of this type available in the literature, an example is the work of Pedras and De Lemos (2008). In general, thermal dispersion is non-isotropic.…”

Section: Energy Equationsmentioning

confidence: 99%

Modeling of Conduction and Natural Convection in Ice-Water Systems Containing Porous Metal Foams

Bories

Baliga

2013

Volume 3: Gas Turbine Heat Transfer; Transport Phenomena in Materials Processing and Manufacturing; Heat Transfer in Electronic

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A numerical investigation of heat conduction and laminar natural convection in ice-water systems containing porous metal foams, undertaken in the context of computationally convenient two-dimensional steady-state problems, is presented in this thesis. The overall goals of this work are to provide improvements to available cost-effective mathematical models of these phenomena, solve these models numerically, and investigate the influence of the porous metal foam on fluid flow and heat transfer in ice-water systems. The long-term goal (and the motivation for this work) is to contribute to the development of mathematical models and numerical solution methods for simulations of enhanced ice-water seasonal coldstorage systems.The proposed mathematical models are based on the local volume-averaging method. A Darcy-Brinkman-Forchheimer model is used for the momentum equations. For the heat transfer, volume-averaged equations governing two intrinsic phase-average temperature fields are used: one for the metal foam and the other for the water (solid or liquid). The following improvements to available two-temperature models are proposed: novel expressions for the interfacial heat transfer coefficient in both the conduction and convection regimes; and modified effective thermal conductivity models that provide consistency between predictions of one-temperature and two-temperature models in the limit of local thermal equilibrium.A well-established fixed-grid, co-located, finite volume method (FVM) is adapted for the numerical solution of the aforementioned mathematical models. All of the computer simulations are done with rectangular calculation domains, cooled and heated on the opposite side walls, and the adiabatic condition is imposed on the top and bottom walls.The FVM is first validated by the comparing the predicted results to experimental data for steady-state conduction and laminar natural convection in square enclosures containing pure liquid water and ice-water systems (no foam), with temperatures spanning the density inversion point of water. The problem involving natural convection in pure liquid water is solved using a variable-property model (VPM) and also a constant-property model (CPM), with the constant fluid properties evaluated at several reference (or average) temperatures,

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“…Thermal dispersion tensors were calculated within an infinite porous medium formed by a spatially periodic array of longitudinally-displaced elliptic rods by Pedras and de Lemos [16]. The authors applied a low Reynolds k-ε closure for turbulence and investigated the effects of solid-fluid thermal conductivity ratio using a unit-cell geometry in conjunction with periodic boundary conditions for mass, momentum and energy equations.…”

Section: Introductionmentioning

confidence: 99%

Thermal dispersion effects on forced convection in a porous-saturated pipe

Hooman

Dahari

2017

Thermal Science and Engineering Progress

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Thermal dispersion effects on fully developed forced convection inside a porous-saturated pipe are investigated. The pipe wall is assumed to be kept at a uniform and constant heat flux. Having the fully developed velocity field furnished by an arbitrary power series function, the energy equation is solved using asymptotic techniques for the limiting case when thermal conductivity, as a result of thermal dispersion, weakly changes with the Péclet number. A numerical solution, valid for the entire range of thermal dispersion conductivity, is also presented. This latter solution is presented to check the accuracy of the former. The two solutions are then cross-validated in the limits. Besides, results are found to be in good agreement with those previously reported in the literature.

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Thermal dispersion in porous media as a function of the solid–fluid conductivity ratio

Cited by 51 publications

References 23 publications

Thermal Dispersion in Porous Media—A Review on the Experimental Studies for Packed Beds

Thermal Dispersion in Porous Media—A Review on the Experimental Studies for Packed Beds

Modeling of Conduction and Natural Convection in Ice-Water Systems Containing Porous Metal Foams

Thermal dispersion effects on forced convection in a porous-saturated pipe

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