Electrohydrodynamic Instability in a Heat Generating Porous Layer Saturated by a Dielectric Nanofluid

In this paper, a theoretical investigation has been carried out to study the combined effect of AC electric field and temperature depended internal heat source on the onset of convection in a porous medium layer saturated by a dielectric nanofluid. The model used for nanofluid incorporates the combi...

Full description

Bibliographic Details
Main Author: D. Yadav
Format: Article
Language:English
Published: Isfahan University of Technology 2017-01-01
Series:Journal of Applied Fluid Mechanics
Subjects:
Online Access:http://jafmonline.net/JournalArchive/download?file_ID=42493&issue_ID=240
_version_ 1811250879158812672
author D. Yadav
author_facet D. Yadav
author_sort D. Yadav
collection DOAJ
description In this paper, a theoretical investigation has been carried out to study the combined effect of AC electric field and temperature depended internal heat source on the onset of convection in a porous medium layer saturated by a dielectric nanofluid. The model used for nanofluid incorporates the combined effect of Brownian diffusion, thermophoresis and electrophoresis, while for porous medium Darcy model is employed. The flux of volume fraction of a nanoparticle with the effect of thermophoresis is taken to be zero on the boundaries and the eigenvalue problem is solved using the Galerkin method. Principle of exchange of stabilities is found to be valid and subcritical instability is ruled out. The results show that increase in the internal heat source parameter , AC electric Rayleigh-Darcy number , the Lewis number , the modified diffusivity ratio and the concentration Rayleigh-Darcy number are to hasten the onset of convection. The size of convection cells decreases with increasing the internal heat source parameter and the AC electric Rayleigh-Darcy number .
first_indexed 2024-04-12T16:11:18Z
format Article
id doaj.art-dfeed78845f64fe6a789744513310ef0
institution Directory Open Access Journal
issn 1735-3572
language English
last_indexed 2024-04-12T16:11:18Z
publishDate 2017-01-01
publisher Isfahan University of Technology
record_format Article
series Journal of Applied Fluid Mechanics
spelling doaj.art-dfeed78845f64fe6a789744513310ef02022-12-22T03:25:53ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35722017-01-01103763776.Electrohydrodynamic Instability in a Heat Generating Porous Layer Saturated by a Dielectric NanofluidD. Yadav0Department of Mathematical & Physical Sciences, University of Nizwa, Nizwa, P.O. Box 33, Postal Code 616, OmanIn this paper, a theoretical investigation has been carried out to study the combined effect of AC electric field and temperature depended internal heat source on the onset of convection in a porous medium layer saturated by a dielectric nanofluid. The model used for nanofluid incorporates the combined effect of Brownian diffusion, thermophoresis and electrophoresis, while for porous medium Darcy model is employed. The flux of volume fraction of a nanoparticle with the effect of thermophoresis is taken to be zero on the boundaries and the eigenvalue problem is solved using the Galerkin method. Principle of exchange of stabilities is found to be valid and subcritical instability is ruled out. The results show that increase in the internal heat source parameter , AC electric Rayleigh-Darcy number , the Lewis number , the modified diffusivity ratio and the concentration Rayleigh-Darcy number are to hasten the onset of convection. The size of convection cells decreases with increasing the internal heat source parameter and the AC electric Rayleigh-Darcy number .http://jafmonline.net/JournalArchive/download?file_ID=42493&issue_ID=240Electrohydrodynamic instability; Nanofluids; Internal heat source; Porous medium.
spellingShingle D. Yadav
Electrohydrodynamic Instability in a Heat Generating Porous Layer Saturated by a Dielectric Nanofluid
Journal of Applied Fluid Mechanics
Electrohydrodynamic instability; Nanofluids; Internal heat source; Porous medium.
title Electrohydrodynamic Instability in a Heat Generating Porous Layer Saturated by a Dielectric Nanofluid
title_full Electrohydrodynamic Instability in a Heat Generating Porous Layer Saturated by a Dielectric Nanofluid
title_fullStr Electrohydrodynamic Instability in a Heat Generating Porous Layer Saturated by a Dielectric Nanofluid
title_full_unstemmed Electrohydrodynamic Instability in a Heat Generating Porous Layer Saturated by a Dielectric Nanofluid
title_short Electrohydrodynamic Instability in a Heat Generating Porous Layer Saturated by a Dielectric Nanofluid
title_sort electrohydrodynamic instability in a heat generating porous layer saturated by a dielectric nanofluid
topic Electrohydrodynamic instability; Nanofluids; Internal heat source; Porous medium.
url http://jafmonline.net/JournalArchive/download?file_ID=42493&issue_ID=240
work_keys_str_mv AT dyadav electrohydrodynamicinstabilityinaheatgeneratingporouslayersaturatedbyadielectricnanofluid