NONISOTHERMAL FLOW OF A LIQUID-FILM ON A HORIZONTAL CYLINDER

We consider the flow of a viscous liquid film on the surface of a cyli nder that is heated or cooled. Lubrication theory is used to study a t hin film under the influence of gravity, capillary, thermocapillary, a nd intermolecular forces. We derive evolution equations for the interf ace shapes as a function of the azimuthal angle about the cylinder tha t govern the behaviour of the film subject to the above coupled forces . We use both analytical and numerical techniques to elucidate the dyn amics and steady states of the thin layer over a wide range of thermal conditions and material properties. Finally, we extend our derivation to the case of three-dimensional dynamics and explore the stability o f the film to small axial disturbances.