Effect of Thermal Non-Equilibrium on Convective Instability in a Ferromagnetic Fluid-Saturated Porous Medium

Jinho Lee, I. S. Shivakumara, M. Ravisha

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The effect of local thermal non-equilibrium (LTNE) on the onset of thermomagnetic convection in a ferromagnetic fluid-saturated horizontal porous layer in the presence of a uniform vertical magnetic field is investigated. A modified Forchheimer-extended Darcy equation is employed to describe the flow in the porous medium, and a two-field model is used for temperature representing the solid and fluid phases separately. It is found that both the critical Darcy-Rayleigh number and the corresponding wave number are modified by the LTNE effects. Asymptotic solutions for both small and large values of scaled interphase heat transfer coefficient Ht are presented and compared with those computed numerically. An excellent agreement is obtained between the asymptotic and the numerical results. Besides, the influence of magnetic parameters on the instability of the system is also discussed. The available results in the literature are recovered as particular cases from the present study.

Original languageEnglish
Pages (from-to)103-124
Number of pages22
JournalTransport in Porous Media
Volume86
Issue number1
DOIs
Publication statusPublished - 2011 Feb 1

Fingerprint

Porous materials
Fluids
Heat transfer coefficients
Magnetic fields
Temperature
Hot Temperature
Convection

All Science Journal Classification (ASJC) codes

  • Catalysis
  • Chemical Engineering(all)

Cite this

@article{c9234f5e2f544a588b186ee9ea9e43ce,
title = "Effect of Thermal Non-Equilibrium on Convective Instability in a Ferromagnetic Fluid-Saturated Porous Medium",
abstract = "The effect of local thermal non-equilibrium (LTNE) on the onset of thermomagnetic convection in a ferromagnetic fluid-saturated horizontal porous layer in the presence of a uniform vertical magnetic field is investigated. A modified Forchheimer-extended Darcy equation is employed to describe the flow in the porous medium, and a two-field model is used for temperature representing the solid and fluid phases separately. It is found that both the critical Darcy-Rayleigh number and the corresponding wave number are modified by the LTNE effects. Asymptotic solutions for both small and large values of scaled interphase heat transfer coefficient Ht are presented and compared with those computed numerically. An excellent agreement is obtained between the asymptotic and the numerical results. Besides, the influence of magnetic parameters on the instability of the system is also discussed. The available results in the literature are recovered as particular cases from the present study.",
author = "Jinho Lee and Shivakumara, {I. S.} and M. Ravisha",
year = "2011",
month = "2",
day = "1",
doi = "10.1007/s11242-010-9608-6",
language = "English",
volume = "86",
pages = "103--124",
journal = "Transport in Porous Media",
issn = "0169-3913",
publisher = "Springer Netherlands",
number = "1",

}

Effect of Thermal Non-Equilibrium on Convective Instability in a Ferromagnetic Fluid-Saturated Porous Medium. / Lee, Jinho; Shivakumara, I. S.; Ravisha, M.

In: Transport in Porous Media, Vol. 86, No. 1, 01.02.2011, p. 103-124.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Effect of Thermal Non-Equilibrium on Convective Instability in a Ferromagnetic Fluid-Saturated Porous Medium

AU - Lee, Jinho

AU - Shivakumara, I. S.

AU - Ravisha, M.

PY - 2011/2/1

Y1 - 2011/2/1

N2 - The effect of local thermal non-equilibrium (LTNE) on the onset of thermomagnetic convection in a ferromagnetic fluid-saturated horizontal porous layer in the presence of a uniform vertical magnetic field is investigated. A modified Forchheimer-extended Darcy equation is employed to describe the flow in the porous medium, and a two-field model is used for temperature representing the solid and fluid phases separately. It is found that both the critical Darcy-Rayleigh number and the corresponding wave number are modified by the LTNE effects. Asymptotic solutions for both small and large values of scaled interphase heat transfer coefficient Ht are presented and compared with those computed numerically. An excellent agreement is obtained between the asymptotic and the numerical results. Besides, the influence of magnetic parameters on the instability of the system is also discussed. The available results in the literature are recovered as particular cases from the present study.

AB - The effect of local thermal non-equilibrium (LTNE) on the onset of thermomagnetic convection in a ferromagnetic fluid-saturated horizontal porous layer in the presence of a uniform vertical magnetic field is investigated. A modified Forchheimer-extended Darcy equation is employed to describe the flow in the porous medium, and a two-field model is used for temperature representing the solid and fluid phases separately. It is found that both the critical Darcy-Rayleigh number and the corresponding wave number are modified by the LTNE effects. Asymptotic solutions for both small and large values of scaled interphase heat transfer coefficient Ht are presented and compared with those computed numerically. An excellent agreement is obtained between the asymptotic and the numerical results. Besides, the influence of magnetic parameters on the instability of the system is also discussed. The available results in the literature are recovered as particular cases from the present study.

UR - http://www.scopus.com/inward/record.url?scp=79951958497&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79951958497&partnerID=8YFLogxK

U2 - 10.1007/s11242-010-9608-6

DO - 10.1007/s11242-010-9608-6

M3 - Article

AN - SCOPUS:79951958497

VL - 86

SP - 103

EP - 124

JO - Transport in Porous Media

JF - Transport in Porous Media

SN - 0169-3913

IS - 1

ER -