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Effect of helical force on the stationary convection in binary ferrofluid

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Abstract

This paper presents the study of the onset of instability in a horizontal layer of binary ferrofluid mixture under the effect of helical force and heated from below with free boundary conditions. Explicit expressions of the stationary convection thresholds are determined. The results indicate that each of the parameters \(M_{1}\), \(M_{3}\), \(\psi \), \(\psi _{m}\) and the helical force accelerates the onset of the stationary convection, while the parameter \(M_{2}\) delays it. It is shown that all the magnetic parameters and the separation ratio contract the size of the convection cells, while the helical force enlarges it.

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Acknowledgements

The authors thank IMSP-UAC for financial support. We also thank Dr. L.A. Hinvi and M. Segning Hilaire for their collaborations. We would also like to thank very much the anonymous referees whose useful criticisms, comments and suggestions have helped strengthen the content and the quality of the paper.

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Correspondence to C. H. Miwadinou.

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Hounsou, P., Monwanou, A.V., Miwadinou, C.H. et al. Effect of helical force on the stationary convection in binary ferrofluid. Indian J Phys 94, 1581–1590 (2020). https://doi.org/10.1007/s12648-019-01605-5

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  • DOI: https://doi.org/10.1007/s12648-019-01605-5

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