Skip to main content
Journal cover image

Effects of anisotropy and boundary plates on the critical values of a porous medium heated from below

Publication ,  Journal Article
Gustafson, MR; Howle, LE
Published in: International Journal of Heat and Mass Transfer
September 1, 1999

We present a linear stability analysis of Horton-Rogers-Lapwood convection in an anisotropic porous medium bounded by finite-property plates of infinite horizontal extent. Critical values for the onset of convection are obtained using a continuation method. These values are compared with experimental data. The effects of plate diffusivity, plate diffusivity, plate thickness, and anisotropy in the diffusivity and permeability of the porous medium on these critical values are explored. We find that the predicted critical values from our stability analysis agree favorably with available precision experimental measurements.

Duke Scholars

Published In

International Journal of Heat and Mass Transfer

DOI

ISSN

0017-9310

Publication Date

September 1, 1999

Volume

42

Issue

18

Start / End Page

3419 / 3430

Related Subject Headings

  • Mechanical Engineering & Transports
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Gustafson, M. R., & Howle, L. E. (1999). Effects of anisotropy and boundary plates on the critical values of a porous medium heated from below. International Journal of Heat and Mass Transfer, 42(18), 3419–3430. https://doi.org/10.1016/S0017-9310(99)00028-9
Gustafson, M. R., and L. E. Howle. “Effects of anisotropy and boundary plates on the critical values of a porous medium heated from below.” International Journal of Heat and Mass Transfer 42, no. 18 (September 1, 1999): 3419–30. https://doi.org/10.1016/S0017-9310(99)00028-9.
Gustafson MR, Howle LE. Effects of anisotropy and boundary plates on the critical values of a porous medium heated from below. International Journal of Heat and Mass Transfer. 1999 Sep 1;42(18):3419–30.
Gustafson, M. R., and L. E. Howle. “Effects of anisotropy and boundary plates on the critical values of a porous medium heated from below.” International Journal of Heat and Mass Transfer, vol. 42, no. 18, Sept. 1999, pp. 3419–30. Scopus, doi:10.1016/S0017-9310(99)00028-9.
Gustafson MR, Howle LE. Effects of anisotropy and boundary plates on the critical values of a porous medium heated from below. International Journal of Heat and Mass Transfer. 1999 Sep 1;42(18):3419–3430.
Journal cover image

Published In

International Journal of Heat and Mass Transfer

DOI

ISSN

0017-9310

Publication Date

September 1, 1999

Volume

42

Issue

18

Start / End Page

3419 / 3430

Related Subject Headings

  • Mechanical Engineering & Transports
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences