Linear and nonlinear double-diffusive convection in a saturated anisotropic porous layer with Soret effect and internal heat source

A. A. Altawallbeh, B. S. Bhadauria, Ishak Hashim

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

Double-diffusive convection in an anisotropic porous layer heated and salted from below with an internal heat source and Soret effect is studied analytically using both linear and nonlinear stability analyses. The generalized Darcy model including the time derivative term is employed for the momentum equation. The critical Rayleigh number and wavenumber for stationary and oscillatory modes and frequency of oscillations are obtained analytically using linear theory. The effects of the anisotropy parameters, concentration Rayleigh number, internal heat source, Soret parameter, Vadasz number and Lewis number on the stationary, oscillatory, and heat and mass transfer are shown graphically. Heat and mass transfer have been obtained in terms of the Nusselt number and Sherwood number.

Original languageEnglish
Pages (from-to)103-111
Number of pages9
JournalInternational Journal of Heat and Mass Transfer
Volume59
Issue number1
DOIs
Publication statusPublished - 2013

Fingerprint

Rayleigh number
heat sources
mass transfer
convection
Mass transfer
heat transfer
Heat transfer
Lewis numbers
Nusselt number
Momentum
Anisotropy
Derivatives
momentum
oscillations
anisotropy
Convection
Hot Temperature

Keywords

  • Double diffusion
  • Internal heat
  • Porous layer
  • Soret effect

ASJC Scopus subject areas

  • Mechanical Engineering
  • Condensed Matter Physics
  • Fluid Flow and Transfer Processes

Cite this

Linear and nonlinear double-diffusive convection in a saturated anisotropic porous layer with Soret effect and internal heat source. / Altawallbeh, A. A.; Bhadauria, B. S.; Hashim, Ishak.

In: International Journal of Heat and Mass Transfer, Vol. 59, No. 1, 2013, p. 103-111.

Research output: Contribution to journalArticle

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AU - Hashim, Ishak

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AB - Double-diffusive convection in an anisotropic porous layer heated and salted from below with an internal heat source and Soret effect is studied analytically using both linear and nonlinear stability analyses. The generalized Darcy model including the time derivative term is employed for the momentum equation. The critical Rayleigh number and wavenumber for stationary and oscillatory modes and frequency of oscillations are obtained analytically using linear theory. The effects of the anisotropy parameters, concentration Rayleigh number, internal heat source, Soret parameter, Vadasz number and Lewis number on the stationary, oscillatory, and heat and mass transfer are shown graphically. Heat and mass transfer have been obtained in terms of the Nusselt number and Sherwood number.

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