Linear and Nonlinear Marangoni Stability of a Thin Liquid Film Coating the Inside or the Outside of a Cylinder With Slip in the Absence of Gravity

In this paper the thermocapillary stability of a thin liquid film coating the outside or the inside of a cylinder with a thick wall in the absence of gravity is investigated under the assumption of slip at the interface between the liquid and the wall. Analytical results are presented which show the regions in the parameter space where slip has the possibility to stabilize or destabilize the system. The linear results, which include the stability of azimuthal modes, show that slip may stabilize in two ways. First, from the point of view of the growth rate and, second, from the point of view of the maximum growth rate. These results are corroborated with the numerical analysis of the nonlinear evolution equation of the free surface deformation.