Double-Diffusive Convection with the Effect of Rotation in Magnetic Nanofluids

Abstract

AbstractA linear stability analysis is performed to investigate the effect of rotation and solute for a thin horizontal layer of water-based magnetic nanofluid (\(W_{MNF}\)) and ester-based magnetic nanofluids (\(E_{MNF}\)). The fluid is heated and salted from below, subject to rotation around the vertical axis. As stated in Buongiorno (J Heat Transf 128, 240–250, 2006, [1]), Brownian diffusion and thermophoresis are the significant slip mechanisms in nanofluids. In this work, we consider these two along with magnetophoresis since we are dealing with magnetic nanofluids. A numerical method is employed using MATLAB’s EIG function to solve the resulting eigenvalue problem. The effect of various parameters of the problem which govern the flow has been observed at the onset of convection in the gravity environment in a rigid-rigid boundary condition through neutral stability curves (NSCs). The effect of rotation is investigated using the Taylor number (\(T_A\)). We analyse this significant parameter in rigid-free and free-free boundary conditions also with respect to both the environments (gravity and microgravity) and find that the increment in the value of \(T_A\) contributes to system stability under both the environments in all the boundary conditions.KeywordsDouble diffusionRotationMagnetic nanofluidsSolute