The Onset of Darcy-Brinkman Electroconvection in a Dielectric Fluid Saturated Porous Layer

I. S. Shivakumara, N. Rudraiah, Jinho Lee, K. Hemalatha

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

The combined effect of a vertical AC electric field and the boundaries on the onset of Darcy-Brinkman convection in a dielectric fluid saturated porous layer heated either from below or above is investigated using linear stability theory. The isothermal bounding surfaces of the porous layer are considered to be either rigid or free. It is established that the principle of exchange of stability is valid irrespective of the nature of velocity boundary conditions. The eigenvalue problem is solved exactly for free-free (F/F) boundaries and numerically using the Galerkin technique for rigid-rigid (R/R) and lower-rigid and upper-free (F/R) boundaries. It is observed that all the boundaries exhibit qualitatively similar results. The presence of electric field is emphasized on the stability of the system and it is shown that increasing the AC electric Rayleigh number Rea is to facilitate the transfer of heat more effectively and to hasten the onset of Darcy-Brinkman convection. Whereas, increase in the ratio of viscosities Λ and the inverse Darcy number Da-1 is to delay the onset of Darcy-Brinkman electroconvection. Besides, increasing Rea and Da-1 as well as decreasing Λ are to reduce the size of convection cells.

Original languageEnglish
Pages (from-to)509-528
Number of pages20
JournalTransport in Porous Media
Volume90
Issue number2
DOIs
Publication statusPublished - 2011 Nov 1

Fingerprint

Fluids
Electric fields
Boundary conditions
Viscosity
Convection
Hot Temperature

All Science Journal Classification (ASJC) codes

  • Catalysis
  • Chemical Engineering(all)

Cite this

Shivakumara, I. S. ; Rudraiah, N. ; Lee, Jinho ; Hemalatha, K. / The Onset of Darcy-Brinkman Electroconvection in a Dielectric Fluid Saturated Porous Layer. In: Transport in Porous Media. 2011 ; Vol. 90, No. 2. pp. 509-528.
@article{f89bc8294d98434a9cd0ed896dd2956e,
title = "The Onset of Darcy-Brinkman Electroconvection in a Dielectric Fluid Saturated Porous Layer",
abstract = "The combined effect of a vertical AC electric field and the boundaries on the onset of Darcy-Brinkman convection in a dielectric fluid saturated porous layer heated either from below or above is investigated using linear stability theory. The isothermal bounding surfaces of the porous layer are considered to be either rigid or free. It is established that the principle of exchange of stability is valid irrespective of the nature of velocity boundary conditions. The eigenvalue problem is solved exactly for free-free (F/F) boundaries and numerically using the Galerkin technique for rigid-rigid (R/R) and lower-rigid and upper-free (F/R) boundaries. It is observed that all the boundaries exhibit qualitatively similar results. The presence of electric field is emphasized on the stability of the system and it is shown that increasing the AC electric Rayleigh number Rea is to facilitate the transfer of heat more effectively and to hasten the onset of Darcy-Brinkman convection. Whereas, increase in the ratio of viscosities Λ and the inverse Darcy number Da-1 is to delay the onset of Darcy-Brinkman electroconvection. Besides, increasing Rea and Da-1 as well as decreasing Λ are to reduce the size of convection cells.",
author = "Shivakumara, {I. S.} and N. Rudraiah and Jinho Lee and K. Hemalatha",
year = "2011",
month = "11",
day = "1",
doi = "10.1007/s11242-011-9797-7",
language = "English",
volume = "90",
pages = "509--528",
journal = "Transport in Porous Media",
issn = "0169-3913",
publisher = "Springer Netherlands",
number = "2",

}

The Onset of Darcy-Brinkman Electroconvection in a Dielectric Fluid Saturated Porous Layer. / Shivakumara, I. S.; Rudraiah, N.; Lee, Jinho; Hemalatha, K.

In: Transport in Porous Media, Vol. 90, No. 2, 01.11.2011, p. 509-528.

Research output: Contribution to journalArticle

TY - JOUR

T1 - The Onset of Darcy-Brinkman Electroconvection in a Dielectric Fluid Saturated Porous Layer

AU - Shivakumara, I. S.

AU - Rudraiah, N.

AU - Lee, Jinho

AU - Hemalatha, K.

PY - 2011/11/1

Y1 - 2011/11/1

N2 - The combined effect of a vertical AC electric field and the boundaries on the onset of Darcy-Brinkman convection in a dielectric fluid saturated porous layer heated either from below or above is investigated using linear stability theory. The isothermal bounding surfaces of the porous layer are considered to be either rigid or free. It is established that the principle of exchange of stability is valid irrespective of the nature of velocity boundary conditions. The eigenvalue problem is solved exactly for free-free (F/F) boundaries and numerically using the Galerkin technique for rigid-rigid (R/R) and lower-rigid and upper-free (F/R) boundaries. It is observed that all the boundaries exhibit qualitatively similar results. The presence of electric field is emphasized on the stability of the system and it is shown that increasing the AC electric Rayleigh number Rea is to facilitate the transfer of heat more effectively and to hasten the onset of Darcy-Brinkman convection. Whereas, increase in the ratio of viscosities Λ and the inverse Darcy number Da-1 is to delay the onset of Darcy-Brinkman electroconvection. Besides, increasing Rea and Da-1 as well as decreasing Λ are to reduce the size of convection cells.

AB - The combined effect of a vertical AC electric field and the boundaries on the onset of Darcy-Brinkman convection in a dielectric fluid saturated porous layer heated either from below or above is investigated using linear stability theory. The isothermal bounding surfaces of the porous layer are considered to be either rigid or free. It is established that the principle of exchange of stability is valid irrespective of the nature of velocity boundary conditions. The eigenvalue problem is solved exactly for free-free (F/F) boundaries and numerically using the Galerkin technique for rigid-rigid (R/R) and lower-rigid and upper-free (F/R) boundaries. It is observed that all the boundaries exhibit qualitatively similar results. The presence of electric field is emphasized on the stability of the system and it is shown that increasing the AC electric Rayleigh number Rea is to facilitate the transfer of heat more effectively and to hasten the onset of Darcy-Brinkman convection. Whereas, increase in the ratio of viscosities Λ and the inverse Darcy number Da-1 is to delay the onset of Darcy-Brinkman electroconvection. Besides, increasing Rea and Da-1 as well as decreasing Λ are to reduce the size of convection cells.

UR - http://www.scopus.com/inward/record.url?scp=80053957858&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80053957858&partnerID=8YFLogxK

U2 - 10.1007/s11242-011-9797-7

DO - 10.1007/s11242-011-9797-7

M3 - Article

AN - SCOPUS:80053957858

VL - 90

SP - 509

EP - 528

JO - Transport in Porous Media

JF - Transport in Porous Media

SN - 0169-3913

IS - 2

ER -