In the solar convection zone, rotation couples with intensely turbulent convection to build global-scale flows of differential rotation and meridional circulation. Our sun must have rotated more rapidly in its past, as is suggested by observations of many rapidly rotating young solar-type stars. Here we explore the effects of more rapid rotation on the patterns of convection in such stars and t...

We present a numerical study of axisymmetric flow in a rotating annulus in which local thermal forcing, via a heated annular ring on the outside of the base and a cooled circular disk in the centre of the top surface, drives convection. This new configuration is a variant of the classical thermally-driven annulus, where uniform heating and cooling are applied through the outer and inner sidewal...

The onset of thermal convection in an enclosed rotating cylinder is greatly influenced by the interaction between the Coriolis force and the cylinder sidewall. For temperature differences between the hot bottom and the cool top that are too small to sustain convection throughout the entire cylinder, convection sets in as pairs of wall-bounded hot thermal plumes ascend and cold thermal plumes de...

We present the results from a series of two-dimensional core-collapse simulations using a rotating progenitor star. We find that the convection in these simulations is less vigorous because a) rotation weakens the core bounce which seeds the neutrino-driven convection and b) the angular momentum profile in the rotating core stabilizes against convection. The limited convection leads to explosio...

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...

mixed convection fluid flow and heat transfer of water-al2o3 nanofluid inside a lid-driven square cavity has been examined numerically in order to find the optimal distribution of discrete heat sources on the wall of a cavity. the effects of different heat source length, richardson number and grashof number on optimal heat source location has been investigated. moreover, the average nusselt num...

A generalized Swift-Hohenberg model including a weak random forcing, viewed as mimicking the intrinsic source of noise due to boundary defects, is used to reproduce the experimentally observed power-law variation of the correlation length of rotating convection patterns as a function of the stress parameter near threshold, and to demonstrate the sensitivity of the exponent to the amplitude of t...