Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium

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

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Linear stability analysis is applied to investigate the effect of internal heat generation on Marangoni convection in a two-layer system comprising an incompressible fluid-saturated porous layer over which lies a layer of the same fluid. The lower rigid surface and the upper non-deformable surface are assumed to be perfectly insulating. The critical eigenvalues are solved exactly and the asymptotic solution of the long wavelength is also obtained using regular perturbation technique. The effect of variation of different physical parameters on the onset of Marangoni convection in the presence of heat generation is investigated in details. The internal heating in the fluid layer and the porous layer are found to decrease the critical conditions.

Original languageEnglish
Pages (from-to)387-405
Number of pages19
JournalInternational Journal of Pure and Applied Mathematics
Volume67
Issue number4
Publication statusPublished - 2011

Fingerprint

Marangoni Convection
Heat generation
Porous Media
Porous materials
Heat
Fluid
Fluids
Linear stability analysis
Perturbation techniques
Internal
Perturbation Technique
Linear Stability Analysis
Asymptotics of Solutions
Heating
Wavelength
Incompressible Fluid
Convection
Eigenvalue
Decrease

Keywords

  • Heat generation
  • Marangoni convection
  • Porous medium

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium. / Mokhtar, N. F M; Arifin, N. M.; Mohd. Nazar, Roslinda; Ismail, F.; Suleiman, M.

In: International Journal of Pure and Applied Mathematics, Vol. 67, No. 4, 2011, p. 387-405.

Research output: Contribution to journalArticle

@article{46836ee118204a4f9e758508f2d2d9f7,
title = "Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium",
abstract = "Linear stability analysis is applied to investigate the effect of internal heat generation on Marangoni convection in a two-layer system comprising an incompressible fluid-saturated porous layer over which lies a layer of the same fluid. The lower rigid surface and the upper non-deformable surface are assumed to be perfectly insulating. The critical eigenvalues are solved exactly and the asymptotic solution of the long wavelength is also obtained using regular perturbation technique. The effect of variation of different physical parameters on the onset of Marangoni convection in the presence of heat generation is investigated in details. The internal heating in the fluid layer and the porous layer are found to decrease the critical conditions.",
keywords = "Heat generation, Marangoni convection, Porous medium",
author = "Mokhtar, {N. F M} and Arifin, {N. M.} and {Mohd. Nazar}, Roslinda and F. Ismail and M. Suleiman",
year = "2011",
language = "English",
volume = "67",
pages = "387--405",
journal = "International Journal of Pure and Applied Mathematics",
issn = "1311-8080",
publisher = "Academic Publications Ltd.",
number = "4",

}

TY - JOUR

T1 - Effect of heat generation on the onset of Marangoni convection in superposed layers of fluid and saturated porous medium

AU - Mokhtar, N. F M

AU - Arifin, N. M.

AU - Mohd. Nazar, Roslinda

AU - Ismail, F.

AU - Suleiman, M.

PY - 2011

Y1 - 2011

N2 - Linear stability analysis is applied to investigate the effect of internal heat generation on Marangoni convection in a two-layer system comprising an incompressible fluid-saturated porous layer over which lies a layer of the same fluid. The lower rigid surface and the upper non-deformable surface are assumed to be perfectly insulating. The critical eigenvalues are solved exactly and the asymptotic solution of the long wavelength is also obtained using regular perturbation technique. The effect of variation of different physical parameters on the onset of Marangoni convection in the presence of heat generation is investigated in details. The internal heating in the fluid layer and the porous layer are found to decrease the critical conditions.

AB - Linear stability analysis is applied to investigate the effect of internal heat generation on Marangoni convection in a two-layer system comprising an incompressible fluid-saturated porous layer over which lies a layer of the same fluid. The lower rigid surface and the upper non-deformable surface are assumed to be perfectly insulating. The critical eigenvalues are solved exactly and the asymptotic solution of the long wavelength is also obtained using regular perturbation technique. The effect of variation of different physical parameters on the onset of Marangoni convection in the presence of heat generation is investigated in details. The internal heating in the fluid layer and the porous layer are found to decrease the critical conditions.

KW - Heat generation

KW - Marangoni convection

KW - Porous medium

UR - http://www.scopus.com/inward/record.url?scp=79952850178&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79952850178&partnerID=8YFLogxK

M3 - Article

VL - 67

SP - 387

EP - 405

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

SN - 1311-8080

IS - 4

ER -