Steady free convection in an anisotropic porous non-rectangular vertical cavity

Pallath Chandran*, Nirmal C. Sacheti, Ashok K. Singh, B. S. Bhadauria

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Free convection in a porous non-rectangular vertical cavity with a sloping upper boundary has been considered. It is assumed that the cavity is filled with porous material subject to hydrodynamical and thermal anisotropy. Assuming Darcy law to hold, together with Boussinesq approximation, the governing partial differential equations have been solved numerically. To facilitate the computation, the non-rectangular physical domain has been transformed to a square computational domain using an algebraic grid generation method. The effect of a range of parameters of interest such as slope of the upper boundary, Darcy-Rayleigh number and aspect ratio, has been illustrated through plots of streamlines and isotherms. Furthermore, the variation of the average Nusselt number has also been discussed in relation to the anisotropic parameters and inclination of the upper surface.

Original languageEnglish
Pages (from-to)4799-4817
Number of pages19
JournalGlobal Journal of Pure and Applied Mathematics
Issue number6
Publication statusPublished - 2016


  • Anisotropy
  • Darcy law
  • Free convection
  • Nusselt number
  • Porous media

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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