부산대학교 도서관

This paper deals with the effect of rotation on the onset of convection in magnetic nanofluids (MNF) with magnetic field dependent (MFD) viscosity using linear stability theory. As suggested by J. Buongiorno [1], Brownian motion and thermophoresis are important slip mechanisms in nanofluid. Since this work is based on MNF therefore, magnetophoresis is included as the third slip mechanism in addition to those mentioned above. Numerical method is employed along with MATLAB's EIG function to solve the resulting eigen value problem. Analysis is done graphically for ester-based MNF (EMNF) and water-based MNF (WMNF) through neutral stability curves (NSCs) and Critical stability curves (CSCs) for rigid-free boundary condition (Bcs) in gravity environment. The most significant parameter here is Taylor number (TA) which investigates the effect of rotation and the analysis shows that system gets stabilized with increase in the value of TA. [ABSTRACT FROM AUTHOR]