Effect of Coriolis Force on Bénard–Marangoni Convection in a Rotating Ferrofluid Layer with MFD Viscosity

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

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The simultaneous effect of Coriolis force due to rotation and magnetic field dependent (MFD) viscosity on the onset of Bénard-Marangoni convection in a horizontal ferrofluid layer in the presence of a uniform vertical magnetic field is studied. The lower boundary is rigid while the upper free boundary is open to the atmosphere and at which the temperature-dependent surface tension effect is allowed for. The Galerkin technique is employed to extract the critical stability parameters numerically. The results show that the onset of Bénard-Marangoni ferroconvection is delayed with an increase in the MFD viscosity parameter Λ, Taylor number Ta, magnetic susceptibility χ and Biot number Bi but opposite is the case with an increase in the value of magnetic number M1 and nonlinearity of fluid magnetization M3. Further, increase in M1,M3 and decrease in Λ,Ta, χ and Bi is to decrease the size of the convection cells. Comparisons of results between the present and the existing ones are made under the limiting conditions and good agreement is found.

Original languageEnglish
Pages (from-to)27-37
Number of pages11
JournalMicrogravity Science and Technology
Volume27
Issue number1
DOIs
Publication statusPublished - 2014 Jan 1

Fingerprint

Coriolis force
Coriolis Force
Ferrofluid
Magnetic fluids
ferrofluids
Convection
Viscosity
Rotating
convection
Magnetic Field
viscosity
Magnetic fields
Dependent
magnetic fields
Marangoni Convection
Biot number
Marangoni convection
convection cells
Decrease
Magnetic Susceptibility

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Engineering(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

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abstract = "The simultaneous effect of Coriolis force due to rotation and magnetic field dependent (MFD) viscosity on the onset of B{\'e}nard-Marangoni convection in a horizontal ferrofluid layer in the presence of a uniform vertical magnetic field is studied. The lower boundary is rigid while the upper free boundary is open to the atmosphere and at which the temperature-dependent surface tension effect is allowed for. The Galerkin technique is employed to extract the critical stability parameters numerically. The results show that the onset of B{\'e}nard-Marangoni ferroconvection is delayed with an increase in the MFD viscosity parameter Λ, Taylor number Ta, magnetic susceptibility χ and Biot number Bi but opposite is the case with an increase in the value of magnetic number M1 and nonlinearity of fluid magnetization M3. Further, increase in M1,M3 and decrease in Λ,Ta, χ and Bi is to decrease the size of the convection cells. Comparisons of results between the present and the existing ones are made under the limiting conditions and good agreement is found.",
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Effect of Coriolis Force on Bénard–Marangoni Convection in a Rotating Ferrofluid Layer with MFD Viscosity. / Nanjundappa, C. E.; Shivakumara, I. S.; Lee, Jinho.

In: Microgravity Science and Technology, Vol. 27, No. 1, 01.01.2014, p. 27-37.

Research output: Contribution to journalArticle

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