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

Abstract

In the present paper, a theoretical model is studied on the¯ow in the liquid annular ®lm, which is ejected from a vessel with relatively higher temperature and painted on the moving solid ®ber. A temperature gradient, driving a thermocapillary¯ow, is formed on the free surface because of the heat transfer from the liquid with relatively higher temperature to the environmental gas with relatively lower temperature. The thermocapillary¯ow may change the radii pro®le of the liquid ®lm. This process analyzed is based on the approximations of lubrication theory and perturbation theory, and the equation of the liquid layer radii and the process of thermal hydrodynamics in the liquid layer are solved for a temperature distribution on the solid ®ber. 7

Hydrothermal waves in differentially heated shallow annular pools of silicone oil

“…Such flow occurs in many processes, such as thin-film coating [1], evaporation [2,3] and melt growth of single crystals [4][5][6].…”

Linear stability of thermocapillary liquid layers of a shear-thinning fluid

“…The theoretical and experimental studies have been reviewed by Davis 3 and Schatz and Neitzel. 4 The thermocapillary flows of polymer liquids appear in many practical applications, such as film coating, 5,6 drying of polymer solution, [7][8][9] deliberate patterning of polymer, 10 lithography, 11,12 inkjet printing, 13 and polymer processing in microgravity. 14 It is worth noting that the rheological property of polymer liquids varies considerably from Newtonian fluid.…”

Stability of Thermocapillary Convection in Annular Pools with Low Prandtl Number Fluid

“…It has attracted much attention from both fundamental and industrial aspects, such as melt-growth of crystal, thin-film coating, and droplet evaporation etc. (Hu and Imaishi 2000;Shih and Megaridis 1996;Chang and Wilcox 1976). In the past few decades, many experiments and numerical simulations have been performed.…”