Effect of internal heat generation on Marangoni convection in a fluid saturated porous medium

N. M. Mokhtar, N. M. Arifin, Roslinda Mohd. Nazar, F. Ismail, M. Suleiman

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Linear stability analysis is applied to investigate the effect of internal heat generation on Marangoni convection in a fluid saturated porous medium bounded below by a insulating rigid surface and above by a non-deformable free surface. The Darcy law and the Brinkman model are used to describe the flow in the porous medium heated from below. The conditions for the onset of instability occurring via steady convective modes are solved exactly. The asymptotic solution of the long wavelength is also obtained using regular perturbation technique with wave number as a perturbation parameter. It is observed that the critical Marangoni number decreases with an increase in the dimensionless heat source strength.

Original languageEnglish
Pages (from-to)112-122
Number of pages11
JournalInternational Journal of Applied Mathematics and Statistics
Volume19
Issue numberD10
Publication statusPublished - 2010

Fingerprint

Marangoni Convection
Heat generation
Porous Media
Porous materials
Heat
Internal
Fluid
Linear stability analysis
Perturbation techniques
Darcy's Law
Fluids
Perturbation Technique
Linear Stability Analysis
Parameter Perturbation
Asymptotics of Solutions
Heat Source
Dimensionless
Free Surface
Wavelength
Decrease

Keywords

  • Heat generation
  • Marangoni convection
  • Porous medium

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Effect of internal heat generation on Marangoni convection in a fluid saturated porous medium. / Mokhtar, N. M.; Arifin, N. M.; Mohd. Nazar, Roslinda; Ismail, F.; Suleiman, M.

In: International Journal of Applied Mathematics and Statistics, Vol. 19, No. D10, 2010, p. 112-122.

Research output: Contribution to journalArticle

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