Airblown rivulet flow of a perfectly wetting fluid on an inclined substrate
Sullivan, J.M. and Wilson, S.K. and Duffy, B.R. (2008) Airblown rivulet flow of a perfectly wetting fluid on an inclined substrate. In: Mathematics in Industry. Springer, pp. 774778. ISBN 9783540719915

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Abstract
Thinfilm flows occur in a variety of physical contexts including, for example, industry, biology and nature, and have been the subject of considerable theoretical research. (See, for example, the review by Oron, Davis and Bankoff [4].) In particular, there are several practically important situations in which an external airflow has a significant effect on the behaviour of a film of fluid, and consequently there has been considerable theoretical and numerical work done to try to understand better the various flows that can occur. (See, for example, the studies by King and Tuck [2] and VillegasDíaz, Power and Riley [6].) The flow of a rivulet on a planar substrate subject to a shear stress at its free surface has been investigated by several authors, notably Myers, Liang and Wetton [3], Saber and ElGenk [5], and Wilson and Duffy [9]. All of these works concern a nonperfectly wetting fluid; the flow of a rivulet of a perfectly wetting fluid in the absence of a shear stress at its free surface has been treated by Alekseenko, Geshev and Kuibin [1], and by Wilson and Duffy [7,8]. In the present short paper we use the lubrication approximation to obtain a complete description of the steady unidirectional flow of a thin rivulet of a perfectly wetting fluid on an inclined substrate subject to a prescribed uniform longitudinal shear stress at its free surface.
Item type:  Book Section 

ID code:  15078 
Keywords:  airblown rivulet flow, wetting fluid, inclined substrate, industrial mathematics, Mathematics, Mathematics(all) 
Subjects:  Science > Mathematics 
Department:  Faculty of Science > Mathematics and Statistics Faculty of Science > Mathematics and Statistics > Mathematics 
Depositing user:  Mrs Mary McAuley 
Date Deposited:  02 Feb 2010 15:55 
Last modified:  18 Jun 2016 05:09 
URI:  http://strathprints.strath.ac.uk/id/eprint/15078 