Rotating convection is seen in the Earth's atmosphere and oceans, but also the interiors of stars, planets and satellites.
Spin-up is the process by which the fluid in a container attains the angular velocity of its container. This process, which can be observed in a teacup*, is also important on planetary scales.
We studied pattern-formation during spin-up using high-resolution numerical simulations in [1].
We also study so-called wall-modes, which arise when the Rayleigh number in rotating convection in a container is not much greater than the critical Rayleigh number. These patterns generally move in a retrograde direction (i.e. against the direction of rotation). We study the effects of thermal and velocity boundary conditions on this propagation.
*See Einstein's paper on the Teacup Paradox, printed in translation here:
Papers:
1) Ravichandran and Wettlaufer, J. Fluid Mech. (2020)
2) Ravichandran and Wettlaufer, J. Fluid Mech. (2024)