A study of behavior and stability of an advective thermocapillary flow in a weakly rotating liquid layer under microgravity

摘要

An advective thermocapillary flow arising in a weakly rotating horizontal liquid layer in microgravity conditions is investigated. The boundaries of the layer are free and flat, with the Marangoni thermocapillary shear stress being exerted on them. Heat transfer occurs on the boundaries in accordance with Newton's law, and the temperature of the medium near the boundaries is a linear function of coordinates. The rotation axis is perpendicular to the liquid layer. The rotation is weak, which makes it possible to neglect the centrifugal force. The flow under study is described analytically as an exact solution of the Navier-Stokes equations. In the framework of linear theory, the neutral curves describing the dependence of the critical Marangoni number on the wave number are found for different values of the Taylor and Grashof numbers at a fixed Prandtl number Pr = 6.7.