A numerical investigation of a buoyancy driven flow in a semi-porous cavity

Comparative effects of ramped and isothermal wall conditions

Research output: Contribution to journalArticle

8 Citations (Scopus)

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

Fingerprint

Vorticity
Buoyancy
Natural convection
buoyancy
Partial differential equations
Porous materials
cavity
Temperature distribution
Rayleigh number
vorticity
convection
temperature
effect
distribution
method
material

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

Cite this

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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.",
keywords = "Brinkman model, Coupled flow, Free convection, Numerical solution, Ramped boundary condition, Rectangular cavity",
author = "Pallath Chandran and Sacheti, {Nirmal C.} and Singh, {Ashok K.}",
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AU - Chandran, Pallath

AU - Sacheti, Nirmal C.

AU - Singh, Ashok K.

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

KW - Brinkman model

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KW - Free convection

KW - Numerical solution

KW - Ramped boundary condition

KW - Rectangular cavity

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