Thermo-diffusive Darcy flow induced by a concentrated source
An analytic study is made of Soret-induced double diffusive Darcy flow produced in an unbounded homogeneous porous medium of uniform porosity and low permeability when a concentrated source embedded instantaneously in the medium starts liberating heat and at the same time a chemical substance too at...
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doaj-30f1cbb9360f4d6693237bb59e77c9e82021-06-02T06:50:21ZengElsevierAin Shams Engineering Journal2090-44792016-12-01741069107810.1016/j.asej.2015.07.011Thermo-diffusive Darcy flow induced by a concentrated sourceR. Ganapathy0A. Mohan1Faculty of Sciences (Research), MAM College of Engineering, Anna University, Tiruchirapalli 621 105, IndiaFaculty of Sciences, Saranathan College of Engineering, Anna University, Tiruchirapalli 620 012, IndiaAn analytic study is made of Soret-induced double diffusive Darcy flow produced in an unbounded homogeneous porous medium of uniform porosity and low permeability when a concentrated source embedded instantaneously in the medium starts liberating heat and at the same time a chemical substance too at a constant rate in a regime where the temperature gradient produces mass flux as well. A perturbation analysis in the limit of small Rayleigh number is employed to obtain analytical solution for the determination of the transient and steady-state development of the flow field and heat and mass transfer. Due to double diffusion, a bifurcation of the flow field is noticed when the buoyancy mechanisms are opposed and due to the Soret-induced cross-diffusion, the region in which the thermal effect of the source is felt, gets minimized with a simultaneous reduction in the rate of momentum and heat transfer.http://www.sciencedirect.com/science/article/pii/S209044791500132XThermo-diffusionDarcy flowPorous mediumConcentrated source |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
R. Ganapathy A. Mohan |
spellingShingle |
R. Ganapathy A. Mohan Thermo-diffusive Darcy flow induced by a concentrated source Ain Shams Engineering Journal Thermo-diffusion Darcy flow Porous medium Concentrated source |
author_facet |
R. Ganapathy A. Mohan |
author_sort |
R. Ganapathy |
title |
Thermo-diffusive Darcy flow induced by a concentrated source |
title_short |
Thermo-diffusive Darcy flow induced by a concentrated source |
title_full |
Thermo-diffusive Darcy flow induced by a concentrated source |
title_fullStr |
Thermo-diffusive Darcy flow induced by a concentrated source |
title_full_unstemmed |
Thermo-diffusive Darcy flow induced by a concentrated source |
title_sort |
thermo-diffusive darcy flow induced by a concentrated source |
publisher |
Elsevier |
series |
Ain Shams Engineering Journal |
issn |
2090-4479 |
publishDate |
2016-12-01 |
description |
An analytic study is made of Soret-induced double diffusive Darcy flow produced in an unbounded homogeneous porous medium of uniform porosity and low permeability when a concentrated source embedded instantaneously in the medium starts liberating heat and at the same time a chemical substance too at a constant rate in a regime where the temperature gradient produces mass flux as well. A perturbation analysis in the limit of small Rayleigh number is employed to obtain analytical solution for the determination of the transient and steady-state development of the flow field and heat and mass transfer. Due to double diffusion, a bifurcation of the flow field is noticed when the buoyancy mechanisms are opposed and due to the Soret-induced cross-diffusion, the region in which the thermal effect of the source is felt, gets minimized with a simultaneous reduction in the rate of momentum and heat transfer. |
topic |
Thermo-diffusion Darcy flow Porous medium Concentrated source |
url |
http://www.sciencedirect.com/science/article/pii/S209044791500132X |
work_keys_str_mv |
AT rganapathy thermodiffusivedarcyflowinducedbyaconcentratedsource AT amohan thermodiffusivedarcyflowinducedbyaconcentratedsource |
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1721407573111865344 |