Effect of rotation on ferromagnetic porous convection with a thermal non-equilibrium model

I. S. Shivakumara, R. Gangadhara Reddy, M. Ravisha, Jinho Lee

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The effect of rotation on the onset of thermal convection in a horizontal layer of ferrofluid saturated Brinkman porous medium is investigated in the presence of a uniform vertical magnetic field using a local thermal non-equilibrium (LTNE) model. A two-field model for temperature representing the solid and fluid phases separately is used for energy equation. The condition for the occurrence of stationary and oscillatory convection is obtained analytically. The stability of the system has been analyzed when the magnetic and buoyancy forces are acting together as well as in isolation and the similarities as well as differences between the two are highlighted. In contrast to the non-rotating case, it is shown that decrease in the Darcy number Da and an increase in the ratio of effective viscosity to fluid viscosity Λ is to hasten the onset of stationary convection at high rotation rates and a coupling between these two parameters is identified in destabilizing the system. Asymptotic solutions for both small and large values of scaled interphase heat transfer coefficient H t are presented and compared with those computed numerically. Besides, the influence of magnetic parameters and also parameters representing LTNE on the stability of the system is discussed and the veracity of LTNE model over the LTE model is also analyzed.

Original languageEnglish
Pages (from-to)1139-1157
Number of pages19
JournalMeccanica
Volume49
Issue number5
DOIs
Publication statusPublished - 2014 Jan 1

Fingerprint

convection
Viscosity
viscosity
Fluids
Magnetic fluids
ferrofluids
fluids
local thermodynamic equilibrium
heat transfer coefficients
Buoyancy
buoyancy
free convection
Heat transfer coefficients
Porous materials
solid phases
isolation
occurrences
Magnetic fields
Hot Temperature
Convection

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Shivakumara, I. S. ; Gangadhara Reddy, R. ; Ravisha, M. ; Lee, Jinho. / Effect of rotation on ferromagnetic porous convection with a thermal non-equilibrium model. In: Meccanica. 2014 ; Vol. 49, No. 5. pp. 1139-1157.
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Effect of rotation on ferromagnetic porous convection with a thermal non-equilibrium model. / Shivakumara, I. S.; Gangadhara Reddy, R.; Ravisha, M.; Lee, Jinho.

In: Meccanica, Vol. 49, No. 5, 01.01.2014, p. 1139-1157.

Research output: Contribution to journalArticle

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