On the effects of a cubic temperature profile on oscillatory rayleigh-benardconvection in a viscoelastic fluid-filled high-porosity medium

R. Idris, Ishak Hashim

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

This study investigated the instability of Rayleigh-Bénard convection in a horizontal layer of Boussinesq, viscoelastic fluid-filled high-porosity medium under the influence of a cubic temperature profile. A linear stability analysis was performed. A single-term Galerkin technique was used to obtain the critical stability parameter for free-free, free- rigid, and rigid-rigid boundary combinations with conducting temperature conditions. It is shown that the strain retardation time delayed the convection while the stress relaxation time promoted it. The effect of the Darcy number and the Brinkman number on the linear stability of the system is analyzed and presented graphically.

Original languageEnglish
Pages (from-to)437-447
Number of pages11
JournalJournal of Porous Media
Volume14
Issue number5
DOIs
Publication statusPublished - 2011

Fingerprint

Viscoelastic Fluid
Temperature Profile
Porosity
Rayleigh
temperature profiles
porosity
Convection
Fluids
fluids
Stress Relaxation
Linear stability analysis
convection
Brinkman number
Linear Stability Analysis
Stress relaxation
Linear Stability
Relaxation Time
Galerkin
Relaxation time
Temperature

Keywords

  • Cubic thermal gradient
  • Porous medium
  • Rayleigh-Bénard convection
  • Viscoelastic fluid

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)
  • Condensed Matter Physics
  • Modelling and Simulation
  • Biomedical Engineering

Cite this

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abstract = "This study investigated the instability of Rayleigh-B{\'e}nard convection in a horizontal layer of Boussinesq, viscoelastic fluid-filled high-porosity medium under the influence of a cubic temperature profile. A linear stability analysis was performed. A single-term Galerkin technique was used to obtain the critical stability parameter for free-free, free- rigid, and rigid-rigid boundary combinations with conducting temperature conditions. It is shown that the strain retardation time delayed the convection while the stress relaxation time promoted it. The effect of the Darcy number and the Brinkman number on the linear stability of the system is analyzed and presented graphically.",
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AU - Hashim, Ishak

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N2 - This study investigated the instability of Rayleigh-Bénard convection in a horizontal layer of Boussinesq, viscoelastic fluid-filled high-porosity medium under the influence of a cubic temperature profile. A linear stability analysis was performed. A single-term Galerkin technique was used to obtain the critical stability parameter for free-free, free- rigid, and rigid-rigid boundary combinations with conducting temperature conditions. It is shown that the strain retardation time delayed the convection while the stress relaxation time promoted it. The effect of the Darcy number and the Brinkman number on the linear stability of the system is analyzed and presented graphically.

AB - This study investigated the instability of Rayleigh-Bénard convection in a horizontal layer of Boussinesq, viscoelastic fluid-filled high-porosity medium under the influence of a cubic temperature profile. A linear stability analysis was performed. A single-term Galerkin technique was used to obtain the critical stability parameter for free-free, free- rigid, and rigid-rigid boundary combinations with conducting temperature conditions. It is shown that the strain retardation time delayed the convection while the stress relaxation time promoted it. The effect of the Darcy number and the Brinkman number on the linear stability of the system is analyzed and presented graphically.

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KW - Viscoelastic fluid

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