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The onset of Darcy‐Brinkman convection in a porous medium layer with vertical throughflow and variable gravity field effects

Yadav, Dhananjay

In this study, the influence of constant throughflow and varying downward gravity field on the onset of Darcy‐Brinkman convection in a porous medium layer is examined numerically. We considered two cases of gravity field variations: (a) linear and (b) parabolic. A higher‐order Galerkin‐weighted residual technique and QZ procedure are used to get the numerical solution for the entire Darcy numbers amid $Da = 0$ (Horton‐Rogers‐Lapwood convection) and $Da \to \infty$ (Rayleigh Bénard Convection). It is obtained that the throughflow, the downward gravity field and the Darcy number are to holdup the beginning of convection. It is also obtained that the system is more stable for linear variation of gravity field in comparison to the parabolic variation.

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The onset of Darcy‐Brinkman convection in a porous medium layer with vertical throughflow and variable gravity field effects

Yadav, Dhananjay

In this study, the influence of constant throughflow and varying downward gravity field on the onset of Darcy‐Brinkman convection in a porous medium layer is examined numerically. We considered two cases of gravity field variations: (a) linear and (b) parabolic. A higher‐order Galerkin‐weighted residual technique and QZ procedure are used to get the numerical solution for the entire Darcy numbers amid $Da = 0$ (Horton‐Rogers‐Lapwood convection) and $Da \to \infty$ (Rayleigh Bénard Convection). It is obtained that the throughflow, the downward gravity field and the Darcy number are to holdup the beginning of convection. It is also obtained that the system is more stable for linear variation of gravity field in comparison to the parabolic variation.

The onset of Darcy‐Brinkman convection in a porous medium layer with vertical throughflow and variable gravity field effects

Yadav, Dhananjay

In this study, the influence of constant throughflow and varying downward gravity field on the onset of Darcy‐Brinkman convection in a porous medium layer is examined numerically. We considered two cases of gravity field variations: (a) linear and (b) parabolic. A higher‐order Galerkin‐weighted residual technique and QZ procedure are used to get the numerical solution for the entire Darcy numbers amid $Da = 0$ (Horton‐Rogers‐Lapwood convection) and $Da \to \infty$ (Rayleigh Bénard Convection). It is obtained that the throughflow, the downward gravity field and the Darcy number are to holdup the beginning of convection. It is also obtained that the system is more stable for linear variation of gravity field in comparison to the parabolic variation.

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Title:

The onset of Darcy‐Brinkman convection in a porous medium layer with vertical throughflow and variable gravity field effects

Contributors:

Yadav, Dhananjay (author)

Published in:

Heat Transfer ; 49 ; 3161-3173

Publication date:

2020-07-01

Size:

13 pages

ISSN:

2688-4542 , 2688-4534

DOI:

https://doi.org/10.1002/htj.21767

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

throughflow , convective instability , Galerkin method , variable gravity , Darcy‐Brinkman convection

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