Effect of helical force on the stationary convection in binary ferrofluid

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.