Numerical simulation of finite-amplitude spatial perturbations of advective thermocapillary flow in a weakly rotating liquid layer under microgravity conditions

The behavior of spatial finite-amplitude perturbations of the advective flow in a weakly rotating layer of incompressible fluid with free non-deformable boundaries under microgravity conditions that arise when the Marangoni number is above the critical value is investigated. Convective heat exchange under Newton’s law is present on the boundaries. The temperature of the fluid near the boundaries is a linear function of the coordinates. The study is based on the equations of convection in the Boussinesq approximation in a rotating reference frame in a Cartesian coordinate system. The axis of rotation coincides with the vertical z -axis. The two limiting cases are considered: spatial perturbations in the form of rolls with axes perpendicular to the x -axis and spatial perturbations of the second type in the form of rolls with axes parallel to the x -axis. In the presence of rotation, there are all three velocity components that depend on the time and two spatial coordinates x and z or y and z...