Forchheimer and Brinkman extended Darcy flow model on natural convection in a vertical cylindrical porous annulus

D. R. Marpu

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

In the present numerical work, the Forchheimer and Brinkman extended Darcy flow model is used for studying the natural convection heat transfer in a vertical cylindrical porous annulus. Forchheimer inertial and Brinkman viscous terms have been characterized by two non-dimensional numbers. The present description renders the formulation suitable for vertical annuli as well as for rectangular cavity. Numerical results obtained by SAR scheme indicate, that Brinkman viscous terms lead to a higher decrease in the average Nusselt number compared to the Forchheimer inertial terms. Numerical results obtained with the present non-Darcy flow model are in good agreement with the available experimental results of a high permeability porous medium for which results obtained with the Darcy flow model show considerable deviation.

Original languageEnglish
Pages (from-to)41-48
Number of pages8
JournalActa Mechanica
Volume109
Issue number1-4
DOIs
Publication statusPublished - 01-03-1995
Externally publishedYes

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Natural convection
Nusselt number
Porous materials
Heat transfer

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanical Engineering

Cite this

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Forchheimer and Brinkman extended Darcy flow model on natural convection in a vertical cylindrical porous annulus. / Marpu, D. R.

In: Acta Mechanica, Vol. 109, No. 1-4, 01.03.1995, p. 41-48.

Research output: Contribution to journalArticle

TY - JOUR

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AU - Marpu, D. R.

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AB - In the present numerical work, the Forchheimer and Brinkman extended Darcy flow model is used for studying the natural convection heat transfer in a vertical cylindrical porous annulus. Forchheimer inertial and Brinkman viscous terms have been characterized by two non-dimensional numbers. The present description renders the formulation suitable for vertical annuli as well as for rectangular cavity. Numerical results obtained by SAR scheme indicate, that Brinkman viscous terms lead to a higher decrease in the average Nusselt number compared to the Forchheimer inertial terms. Numerical results obtained with the present non-Darcy flow model are in good agreement with the available experimental results of a high permeability porous medium for which results obtained with the Darcy flow model show considerable deviation.

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