Convection in a rotating binary ferrofluid

Amplitude equation for Stationary Convection in a Rotating Binary ferrofluid

We report both theoretical and numerical results on convection for a binary magnetic mixture under rotation. We focus on the stationary convection for idealized boundary conditions. We obtain explicit expressions of convective thresholds in terms of the control parameters of the system. Close to bifurcation, the coefficients of the corresponding amplitude equation are determined analytically. T...

Rotating Ferrofluid Drops

We study the stationary shapes and the rotational motion of drops of magnetic fluids floating in a non-magnetic liquid of equal density and spun up by an externally applied rotating magnetic field. For a sufficiently large magnetic susceptibility of the drop fluid transitions to non axial-symmetric shapes take place when the field amplitude is increased. We give a detailed theoretical account o...

Studies in Rotating Convection

This thesis presents an exploration and analysis of novel phenomena in RayleighBénard convection in a rotating cylinder using direct numerical simulation and equivariant bifurcation analysis. The numerical method used is a second order predictorcorrector method using Chebyshev collocation in the radial and axial directions and a Fourier-Galerkin discretization in the azimuthal direction. This n...

Development of a novel method in TRMC for a Binary Gas Flow Inside a Rotating Cylinder

A new approach to calculate the axially symmetric binary gas flow is proposed Dalton’s law for partial pressures contributed by each species of a binary gas mixture (argon and helium) is incorporated into numerical simulation of rarefied axially symmetric flow inside a rotating cylinder using the time relaxed Monte-Carlo (TRMC) scheme and the direct simulation Monte-Carlo (DSMC) method. The res...

Travelling wave convection in a rotating layer