Onset of Thermogravitational Convection in a Ferrofluid Layer with Temperature Dependent Viscosity

I. S. Shivakumara, Jinho Lee, C. E. Nanjundappa

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

The onset of thermogravitational convection in a horizontal ferrofluid layer is investigated with viscosity depending exponentially on temperature. The bounding surfaces of the ferrofluid layer are considered to be either stress free or rigid-ferromagnetic and insulated to temperature perturbations. The resulting eigenvalue problem is solved numerically using the Galerkin technique and also by a regular perturbation technique for different types of velocity boundary conditions, namely free-free, rigid-rigid, and lower rigid- upper free. It is observed that increasing the viscosity parameter, , and the magnetic number, M 1, is to hasten the onset of ferroconvection, while the nonlinearity of fluid magnetization, M 3, is found to have no influence on the stability of the system. The critical stability parameters are found to be the same in the limiting cases of either no magnetic forces or no buoyancy forces.

Original languageEnglish
Article number012501
JournalJournal of Heat Transfer
Volume134
Issue number1
DOIs
Publication statusPublished - 2012 Jan 1

Fingerprint

Magnetic fluids
ferrofluids
convection
Viscosity
viscosity
perturbation
Perturbation techniques
Buoyancy
buoyancy
Magnetization
eigenvalues
nonlinearity
Boundary conditions
boundary conditions
Temperature
magnetization
Fluids
temperature
fluids
Convection

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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Onset of Thermogravitational Convection in a Ferrofluid Layer with Temperature Dependent Viscosity. / Shivakumara, I. S.; Lee, Jinho; Nanjundappa, C. E.

In: Journal of Heat Transfer, Vol. 134, No. 1, 012501, 01.01.2012.

Research output: Contribution to journalArticle

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