Thermal conductivity of packed metal powders

Hadley, G. Ronald

doi:10.1016/0017-9310(86)90186-9

Cited by 228 publications

(94 citation statements)

References 11 publications

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“…The term (4) represents the contribution from non-touching particles [10] Recently, Ma et al [13] have developed a self-similarity model for the effective thermal conductivity of porous media based on the thermal-electrical analogy technique and on the statistical self-similarity existing in porous media. The dimensionless effective thermal conductivity, k + e is expressed as a function of the porosity, ϕ (related to stage n of the Sierpinski carpet), ratio of areas (A nt /A), ratio (β) of component thermal conductivities, and dimensionless contact resistance/width, t + .…”

Section: Introductionmentioning

confidence: 99%

A generalized model for the effective thermal conductivity of porous media based on self-similarity

Feng¹,

Yu²,

Zou³

et al. 2004

J. Phys. D: Appl. Phys.

122

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A generalized model for the effective thermal conductivity of porous media is derived based on the fact that statistical self-similarity exists in porous media. The proposed model assumes that porous media consist of two portions: randomly distributed non-touching particles and self-similarly distributed particles contacting each other with resistance. The latter are simulated by Sierpinski carpets with side length L = 13 and cutout size C = 3, 5, 7 and 9, respectively, depending upon the porosity concerned. Recursive formulae are presented and expressed as a function of porosity, ratio of areas, ratio of component thermal conductivities and contact resistance, and there is no empirical constant and every parameter has a clear physical meaning. The model predictions are compared with the existing experimental data, and good agreement is found in a wide range of porosity of 0.14-0.80, and this verifies the validity of the proposed model.

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Section: Introductionmentioning

confidence: 99%

A generalized model for the effective thermal conductivity of porous media based on self-similarity

Feng¹,

Yu²,

Zou³

et al. 2004

J. Phys. D: Appl. Phys.

122

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“…k ef f s is the solid effective thermal conductivity calculated using the Hadley correlation (Kaviany 1995, Hadley 1986). …”

Section: -Solid Phasementioning

confidence: 99%

Entropy Generation Minimization Analysis of Active Magnetic Regenerators

Trevizoli

Barbosa

2017

An. Acad. Bras. Ciênc.

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A performance assessment of active magnetocaloric regenerators using entropy generation minimization is presented. The model consists of the Brinkman-Forchheimer equation to describe the fluid flow and coupled energy equations for the fluid and solid phases. Entropy generation contributions due to axial heat conduction, fluid friction and interstitial heat transfer are considered. Based on the velocity and temperature profiles, local rates of entropy generation per unit volume were integrated to give the cycle-average entropy generation in the regenerator, which is the objective function of the optimization procedure. The solid matrix is a bed of gadolinium spherical particles and the working fluid is water. Performance evaluation criteria of fixed cross-section (face) area (FA) and variable geometry (VG) are incorporated into the optimization procedure to identify the most appropriate parameters and operating conditions under fixed constraints of specified temperature span and cooling capacity.

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“…A number of review articles presented the thermal conductivity of porous or particulate materials [30,[34][35][36]. The simplest models for estimating the effective thermal conductivity of porous materials are given by the following equations if the heat transfer is in the direction parallel or normal to the layers of solid and gas, respectively [37]:…”

Section: A Brief Review Of Thermal Conductivity Of Slagmentioning

confidence: 99%

On the Heat Flux Vector and Thermal Conductivity of Slags: A Brief Review

2016

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Abstract:The viscosity and the thermal conductivity of slag are among two of the most important material properties that need to be studied. In this paper we review the existing theoretical and experimental correlations for the thermal conductivity of slag. However, since, in general, slag behaves as a non-linear fluid, it is the heat flux vector which must be studied. Both explicit and implicit approaches are discussed and suggestions about the form of the heat flux vector and the thermal conductivity and their dependence on shear rate, porosity, deformation, etc. are provided. The discussion of the constitutive modeling of the heat flux vector for slag is from a theoretical perspective.

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Thermal conductivity of packed metal powders

Cited by 228 publications

References 11 publications

A generalized model for the effective thermal conductivity of porous media based on self-similarity

A generalized model for the effective thermal conductivity of porous media based on self-similarity

Entropy Generation Minimization Analysis of Active Magnetic Regenerators

On the Heat Flux Vector and Thermal Conductivity of Slags: A Brief Review

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