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

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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 T a, magnetic susceptibility χ and Biot number B i but opposite is the case with an increase in the value of magnetic number M 1 and nonlinearity of fluid magnetization M 3. Further, increase in M 1,M 3 and decrease in Λ,T a, χ and B i 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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Acknowledgments

One of the authors (CEN) gratefully acknowledges the financial support received in the form of a VTU research grant scheme from Visvesvaraya Technological University, Belgaum, Karnataka State, India. The authors wish to thank the reviewers for their helpful suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Dr. Ambedkar Institute of Technology, Bangalore, 560 056, India

    C. E. Nanjundappa

  2. Department of Mathematics, Bangalore University, Bangalore, 560 001, India

    I. S. Shivakumara

  3. School of Mechanical Engineering, Yonsei University, Seoul, 120-749, South Korea

    Jinho Lee

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  1. C. E. Nanjundappa
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  2. I. S. Shivakumara
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  3. Jinho Lee
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Correspondence to C. E. Nanjundappa.

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Nanjundappa, C.E., Shivakumara, I.S. & Lee, J. Effect of Coriolis Force on Bénard–Marangoni Convection in a Rotating Ferrofluid Layer with MFD Viscosity. Microgravity Sci. Technol. 27, 27–37 (2015). https://doi.org/10.1007/s12217-014-9410-0

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