Numerical modeling of heat and mass transfer of a liquid in a rotating cylinder in the case of local heating on a free surface

Abstract

In an axisymmetric formulation, a fluid motion in a cylinder rotating with a constant angular velocity is numerically investigated using the grid method at different values of Taylor and Rayleigh numbers and a fixed value of the Biot number. The axis of rotation is directed vertically upward. The bottom and the outer side wall of the cylinder are thermally insulated, the upper boundary is free, undeformed. A circular heater is placed on the upper boundary in the center of the cylinder. The vortex motion resulting from the combined interaction of the non-uniform longitudinal temperature gradient and the Coriolis force is studied. A complex structure of convective motion is formed throughout the layer.