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

Pallath Chandran; Nirmal C. Sacheti; Ashok K. Singh

doi:10.2478/johh-2013-0014

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

Journal of Hydrology and Hydromechanics

Volume 61 (2013): Issue 2 (June 2013)

By: Pallath Chandran, Nirmal C. Sacheti and Ashok K. Singh

Open Access

|Jun 2013

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.

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DOI: https://doi.org/10.2478/johh-2013-0014 | Journal eISSN: 1338-4333 | Journal ISSN: 0042-790X

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Language: English

Page range: 103 - 111

Published on: Jun 1, 2013

Published by: Slovak Academy of Sciences, Institute of Hydrology

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

Ramped boundary condition,

Numerical solution

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Engineering,

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© 2013 Pallath Chandran, Nirmal C. Sacheti, Ashok K. Singh, published by Slovak Academy of Sciences, Institute of Hydrology
This work is licensed under the Creative Commons License.

Volume 61 (2013): Issue 2 (June 2013)