Natural convection in porous media with anisotropic dispersive thermal conductivity

L. E. Howle; J. G. Georgiadis

doi:10.1016/0017-9310(94)90194-5

Natural convection in porous media with anisotropic dispersive thermal conductivity

L. E. Howle, J. G. Georgiadis

University of Illinois Urbana-Champaign

Research output: Contribution to journal › Article › peer-review

Abstract

A numerical simulation is undertaken in order to study the effect of anisotropy of the effective thermal conductivity tensor on heat transport in the porous medium Rayleigh-Bénard problem. The momentum equation includes an inertial drag (Forchheimer) term. The effective thermal conductivity tensor, in the energy equation, contains an isotropic stagnant component and a hydrodynamic dispersive component with principal axes aligned with the local velocity vector and with magnitude proportional to the local velocity amplitude. A parametric study of two-dimensional steady cellular convection reveals the following. (1) Dispersion increases the net heat transfer after a Rayleigh number ~ 100-200. As the degree of anisotropy of the effective thermal conductivity is increased, the wall averaged Nusselt number is decreased. (2) Using the available Rayleigh number-wavenumber variation data does not affect the divergence between simulation and experiment.

Original language	English (US)
Pages (from-to)	1081-1094
Number of pages	14
Journal	International Journal of Heat and Mass Transfer
Volume	37
Issue number	7
DOIs	https://doi.org/10.1016/0017-9310(94)90194-5
State	Published - May 1994

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

Online availability

10.1016/0017-9310(94)90194-5

Library availability

Discover UIUC Full Text

Cite this

@article{d2dd8e04f90e409790743482d386c09d,

title = "Natural convection in porous media with anisotropic dispersive thermal conductivity",

abstract = "A numerical simulation is undertaken in order to study the effect of anisotropy of the effective thermal conductivity tensor on heat transport in the porous medium Rayleigh-B{\'e}nard problem. The momentum equation includes an inertial drag (Forchheimer) term. The effective thermal conductivity tensor, in the energy equation, contains an isotropic stagnant component and a hydrodynamic dispersive component with principal axes aligned with the local velocity vector and with magnitude proportional to the local velocity amplitude. A parametric study of two-dimensional steady cellular convection reveals the following. (1) Dispersion increases the net heat transfer after a Rayleigh number ~ 100-200. As the degree of anisotropy of the effective thermal conductivity is increased, the wall averaged Nusselt number is decreased. (2) Using the available Rayleigh number-wavenumber variation data does not affect the divergence between simulation and experiment.",

author = "Howle, {L. E.} and Georgiadis, {J. G.}",

note = "Funding Information: A~Xf/olck~dq~rf~~~/,s-a-rWc eg rateful for the tinancial support of the National Science Foundation under grants CTS-8909119 and CTS-9006189 and the U.S. Department of Energy (Olhcc of Basic Energy Sciences) under grant DE-FG05-90ERl4141. We would also like to thank Professor Robert Behringer of Duke University and Professor David Poirier of University of Arizona for their helpful suggestions.",

year = "1994",

month = may,

doi = "10.1016/0017-9310(94)90194-5",

language = "English (US)",

volume = "37",

pages = "1081--1094",

journal = "International Journal of Heat and Mass Transfer",

issn = "0017-9310",

publisher = "Elsevier Limited",

number = "7",

}

TY - JOUR

T1 - Natural convection in porous media with anisotropic dispersive thermal conductivity

AU - Howle, L. E.

AU - Georgiadis, J. G.

N1 - Funding Information: A~Xf/olck~dq~rf~~~/,s-a-rWc eg rateful for the tinancial support of the National Science Foundation under grants CTS-8909119 and CTS-9006189 and the U.S. Department of Energy (Olhcc of Basic Energy Sciences) under grant DE-FG05-90ERl4141. We would also like to thank Professor Robert Behringer of Duke University and Professor David Poirier of University of Arizona for their helpful suggestions.

PY - 1994/5

Y1 - 1994/5

N2 - A numerical simulation is undertaken in order to study the effect of anisotropy of the effective thermal conductivity tensor on heat transport in the porous medium Rayleigh-Bénard problem. The momentum equation includes an inertial drag (Forchheimer) term. The effective thermal conductivity tensor, in the energy equation, contains an isotropic stagnant component and a hydrodynamic dispersive component with principal axes aligned with the local velocity vector and with magnitude proportional to the local velocity amplitude. A parametric study of two-dimensional steady cellular convection reveals the following. (1) Dispersion increases the net heat transfer after a Rayleigh number ~ 100-200. As the degree of anisotropy of the effective thermal conductivity is increased, the wall averaged Nusselt number is decreased. (2) Using the available Rayleigh number-wavenumber variation data does not affect the divergence between simulation and experiment.

AB - A numerical simulation is undertaken in order to study the effect of anisotropy of the effective thermal conductivity tensor on heat transport in the porous medium Rayleigh-Bénard problem. The momentum equation includes an inertial drag (Forchheimer) term. The effective thermal conductivity tensor, in the energy equation, contains an isotropic stagnant component and a hydrodynamic dispersive component with principal axes aligned with the local velocity vector and with magnitude proportional to the local velocity amplitude. A parametric study of two-dimensional steady cellular convection reveals the following. (1) Dispersion increases the net heat transfer after a Rayleigh number ~ 100-200. As the degree of anisotropy of the effective thermal conductivity is increased, the wall averaged Nusselt number is decreased. (2) Using the available Rayleigh number-wavenumber variation data does not affect the divergence between simulation and experiment.

UR - http://www.scopus.com/inward/record.url?scp=0028431175&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028431175&partnerID=8YFLogxK

U2 - 10.1016/0017-9310(94)90194-5

DO - 10.1016/0017-9310(94)90194-5

M3 - Article

AN - SCOPUS:0028431175

SN - 0017-9310

VL - 37

SP - 1081

EP - 1094

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

IS - 7

ER -

Natural convection in porous media with anisotropic dispersive thermal conductivity

Abstract

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this