Marangoni convection in a fluid saturated porous layer with a prescribed heat flux at its lower boundary

Fadzillah Mohd Mokhta, Norihan Md Arifin, Roslinda Mohd. Nazar, Fudziah Ismail, Mohamed Suleiman

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The onset of Marangoni convection in a horizontal porous layer heated from below with a constant heat flux is investigated. The Brinkman model is used and the Darcy law is employed to describe the flow in the porous medium heated from below. We obtain for the first time the closed form analytical solution for the onset of steady Marangoni convection in a fluid saturated porous layer with a prescribed heat flux at its lower boundary. Besides, the asymptotic solution of the long-wavelength is also obtained using regular perturbation technique with wave number as a perturbation parameter. The Marangoni numbers are found to depend on the Darcy number and Biot number. Predictions for the onset of convection are studied in detail.

Original languageEnglish
Pages (from-to)477-486
Number of pages10
JournalEuropean Journal of Scientific Research
Volume24
Issue number4
Publication statusPublished - 2008

Fingerprint

Marangoni Convection
Convection
Heat Flux
heat flux
Heat flux
Hot Temperature
convection
heat
Fluid
Fluids
fluid
perturbation
Perturbation techniques
Darcy law
porous media
Darcy's Law
Porous materials
porous medium
wavelengths
Perturbation Technique

Keywords

  • Marangoni convection
  • Porous media
  • Stability

ASJC Scopus subject areas

  • General

Cite this

Marangoni convection in a fluid saturated porous layer with a prescribed heat flux at its lower boundary. / Mokhta, Fadzillah Mohd; Arifin, Norihan Md; Mohd. Nazar, Roslinda; Ismail, Fudziah; Suleiman, Mohamed.

In: European Journal of Scientific Research, Vol. 24, No. 4, 2008, p. 477-486.

Research output: Contribution to journalArticle

Mokhta, Fadzillah Mohd ; Arifin, Norihan Md ; Mohd. Nazar, Roslinda ; Ismail, Fudziah ; Suleiman, Mohamed. / Marangoni convection in a fluid saturated porous layer with a prescribed heat flux at its lower boundary. In: European Journal of Scientific Research. 2008 ; Vol. 24, No. 4. pp. 477-486.
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AU - Suleiman, Mohamed

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