A boundary-layer analysis for natural convection in vertical porous enclosures-use of the Brinkman-extended Darcy model

Wai Cheung Timothy Tong; E. Subramanian

doi:10.1016/0017-9310(85)90179-6

A boundary-layer analysis for natural convection in vertical porous enclosures-use of the Brinkman-extended Darcy model

Wai Cheung Timothy Tong, E. Subramanian

Research output: Journal article publication › Journal article › Academic research › peer-review

137 Citations (Scopus)

Abstract

A boundary-layer solution for natural convection in rectangular enclosures containing a porous medium is presented. The Brinkman-extended Darcy model, which allows the no-slip boundary condition to be satisfied, is used in the formulation. The method of solution is based on the modified Oseen technique. The flow field is found to be governed by the parameter E = Ra0Da/A. Except in a thin region next to a wall, as E → 0 the flow field is similar to that given by a pure Darcy analysis. Based on results obtained for the Nusselt number, it is determined that a pure Darcy analysis is applicable when E < orderof 10-4. The accuracies of the present solution and the solution obtained from a pure Darcy approach are examined.

Original language	English
Pages (from-to)	563-571
Number of pages	9
Journal	International Journal of Heat and Mass Transfer
Volume	28
Issue number	3
DOIs	https://doi.org/10.1016/0017-9310(85)90179-6
Publication status	Published - 1 Jan 1985
Externally published	Yes

ASJC Scopus subject areas

Fluid Flow and Transfer Processes
General Energy
Mechanical Engineering

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10.1016/0017-9310(85)90179-6

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abstract = "A boundary-layer solution for natural convection in rectangular enclosures containing a porous medium is presented. The Brinkman-extended Darcy model, which allows the no-slip boundary condition to be satisfied, is used in the formulation. The method of solution is based on the modified Oseen technique. The flow field is found to be governed by the parameter E = Ra0Da/A. Except in a thin region next to a wall, as E → 0 the flow field is similar to that given by a pure Darcy analysis. Based on results obtained for the Nusselt number, it is determined that a pure Darcy analysis is applicable when E < orderof 10-4. The accuracies of the present solution and the solution obtained from a pure Darcy approach are examined.",

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N2 - A boundary-layer solution for natural convection in rectangular enclosures containing a porous medium is presented. The Brinkman-extended Darcy model, which allows the no-slip boundary condition to be satisfied, is used in the formulation. The method of solution is based on the modified Oseen technique. The flow field is found to be governed by the parameter E = Ra0Da/A. Except in a thin region next to a wall, as E → 0 the flow field is similar to that given by a pure Darcy analysis. Based on results obtained for the Nusselt number, it is determined that a pure Darcy analysis is applicable when E < orderof 10-4. The accuracies of the present solution and the solution obtained from a pure Darcy approach are examined.

AB - A boundary-layer solution for natural convection in rectangular enclosures containing a porous medium is presented. The Brinkman-extended Darcy model, which allows the no-slip boundary condition to be satisfied, is used in the formulation. The method of solution is based on the modified Oseen technique. The flow field is found to be governed by the parameter E = Ra0Da/A. Except in a thin region next to a wall, as E → 0 the flow field is similar to that given by a pure Darcy analysis. Based on results obtained for the Nusselt number, it is determined that a pure Darcy analysis is applicable when E < orderof 10-4. The accuracies of the present solution and the solution obtained from a pure Darcy approach are examined.

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DO - 10.1016/0017-9310(85)90179-6

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JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

IS - 3

ER -

A boundary-layer analysis for natural convection in vertical porous enclosures-use of the Brinkman-extended Darcy model

Abstract

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