Thermocapillary flow in an annular liquid layer painted on a moving fiber

In the present paper, a theoretical model is studied on the flow in the liq uid annular film, which is ejected from a vessel with relatively higher tem perature and painted on the moving solid fiber. A temperature gradient, dri ving a thermocapillary flow, is formed on the free surface because of the h eat transfer from the liquid with relatively higher temperature to the envi ronmental gas with relatively lower temperature. The thermocapillary flow m ay change the radii profile of the liquid film. This process analyzed is ba sed on the approximations of lubrication theory and perturbation theory, an d the equation of the liquid layer radii and the process of thermal hydrody namics in the liquid layer are solved for a temperature distribution on the solid fiber. (C) 2000 Elsevier Science Ltd. All rights reserved.