A numerical investigation of a buoyancy driven flow in a semi-porous cavity: Comparative effects of ramped and isothermal wall conditions

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Abstract

Steady two-dimensional natural convection taking place in a rectangular cavity, partially filled with an isotropic porous material, has been investigated numerically using an ADI method. It is assumed that one of the vertical walls of the cavity has a ramped temperature distribution. The vorticity-stream function formulation has been used to solve the set of nonlinear partial differential equations governing the flows in the clear region and the adjoining porous region. The effects of Darcy number and Rayleigh number have been discussed in detail.

Original languageEnglish
Pages (from-to)103-111
Number of pages9
JournalJournal of Hydrology and Hydromechanics
Volume61
Issue number2
DOIs
Publication statusPublished - 2013

Keywords

  • Brinkman model
  • Coupled flow
  • Free convection
  • Numerical solution
  • Ramped boundary condition
  • Rectangular cavity

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Water Science and Technology
  • Mechanical Engineering

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