Natural convection in a rotating anisotropic porous layer with internal heat generation

B. S. Bhadauria, Anoj Kumar, Jogendra Kumar, Nirmal C. Sacheti, Pallath Chandran

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

In this article, linear and nonlinear thermal instability in a rotating anisotropic porous layer with heat source has been investigated. The extended Darcy model, which includes the time derivative and Coriolis term has been employed in the momentum equation. The linear theory has been performed by using normal mode technique, while nonlinear analysis is based on minimal representation of the truncated Fourier series having only two terms. The criteria for both stationary and oscillatory convection is derived analytically. The rotation inhibits the onset of convection in both stationary and oscillatory modes. Effects of parameters on critical Rayleigh number has also been investigated. A weak nonlinear analysis based on the truncated representation of Fourier series method has been used to find the Nusselt number. The transient behavior of the Nusselt number has also been investigated by solving the finite amplitude equations using a numerical method. Steady and unsteady streamlines, and isotherms have been drawn to determine the nature of flow pattern. The results obtained during the analysis have been presented graphically.

Original languageEnglish
Pages (from-to)687-705
Number of pages19
JournalTransport in Porous Media
Volume90
Issue number2
DOIs
Publication statusPublished - Nov 2011

Fingerprint

Heat generation
Fourier series
Nonlinear analysis
Nusselt number
Natural convection
Flow patterns
Isotherms
Numerical methods
Momentum
Derivatives
Hot Temperature
Convection

Keywords

  • Heat source
  • Internal Rayleigh number
  • Isotherms
  • Nusselt number
  • Streamlines
  • Thermal instability

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Catalysis

Cite this

Natural convection in a rotating anisotropic porous layer with internal heat generation. / Bhadauria, B. S.; Kumar, Anoj; Kumar, Jogendra; Sacheti, Nirmal C.; Chandran, Pallath.

In: Transport in Porous Media, Vol. 90, No. 2, 11.2011, p. 687-705.

Research output: Contribution to journalArticle

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