Effect of helical force

Abstract
In this paper we studied the onset of instability in a horizontal layer of a rotating ferrofluid in the presence of the helical force. The analytical expression of the Rayleigh number of the system is determined as a function of the dimensionless numbers obtained. Then, the effect of each dimensionless parameter is studied. The helical force, the binary parameter ψ then the magnetic parameters M1, M3 and ψm accelerate the onset of stationary convection whereas the rotation and the magnetic parameter M2 delay it. Also all the magnetic parameters, the binary parameter and the rotation cause the convection rolls to shrink while only the helical force increases the size of these structures
Description
Ferrofluids, also called magnetic fluids, are stable colloidal suspensions of ferromagnetic particles in a carrier liquid.The discipline that deals with these fluids is ferrohydrodynamics (FHD); which differs from magnetohydrodynamics (MHD) and electrohydrodynamics (EHD) in that there is usually no electric current or free electric charge in the fluid.
Keywords
Helical force, Stationary convection in a rotating ferrofluid, instability in a horizontal layer in a rotating ferrofluid, ferrohydrodynamics, magnetohydrodynamics
Citation
Hounsou, P., Monwanou, A.V., Miwadinou, C.H., Orou, J.B.C. (2020). Effect of helical force on the stationary convection in a rotating ferrofluid. Chinese Journal of Physics. Vol. 65, Pg 526-537. https://doi.org/10.1016/j.cjph.2020.03.026
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