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Effects of Coriolis force and different basic temperature gradients on Marangoni ferroconvection

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Summary

The effect of Coriolis force and different forms of basic temperature gradients on the onset of Marangoni ferroconvection in a horizontal layer of ferrofluid is investigated theoretically. The lower boundary is assumed to be rigid-isothermal, while the upper free boundary on which the surface tension acts is non-deformable and insulating to temperature perturbations. The Galerkin technique is used to obtain the critical stability parameters. It is shown that convection sets in as oscillatory motions provided that the Prandtl number is less than unity. A mechanism for suppressing or augmenting Marangoni ferroconvection by rotation, nonlinearity of magnetization and different forms of basic temperature gradients is discussed in detail. It is found that the inverted parabolic temperature profile indicates a reinforcement of stability, whereas the step function temperature profile indicates a diminution of stability. 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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Authors and Affiliations

  1. UGC-Centre for Advanced Studies in Fluid Mechanics, Department of Mathematics, Bangalore University, Central College Campus, Bangalore, 560 001, India

    I. S. Shivakumara

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

    C. E. Nanjundappa

Authors
  1. I. S. Shivakumara
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  2. C. E. Nanjundappa
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Correspondence to I. S. Shivakumara.

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Shivakumara, I.S., Nanjundappa, C.E. Effects of Coriolis force and different basic temperature gradients on Marangoni ferroconvection. Acta Mechanica 182, 113–124 (2006). https://doi.org/10.1007/s00707-005-0296-1

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