SIDEBAND THERMOCAPILLARY INSTABILITY OF A THIN FILM COATING THE OUTSIDE OF A THICK WALLED CYLINDER WITH FINITE THERMAL CONDUCTIVITY IN THE ABSENCE OF GRAVITY

The sideband thermocapillary instability of a thin liquid film coating the outside of a heated cylinder in the absence of gravity is investigated. Previous results show that, for a Newtonian fluid and under the approximation of small wave number and large radius of the cylinder, the axial and all azimuthal modes with wave number k(max) > 0 have the same linear maximum growth rate. Therefore, it is our goal to solve this linear indeterminacy from the nonlinear point of view and find the parameter regions where the axial mode and the first azimuthal mode may prevail.