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Title Thin-film flows on cylinders / George Adam Leslie.
Name Leslie, George Adam. .
Abstract Three different problems concerning thin-film flows on horizontal cylinders are studied. Firstly, steady two-dimensional gravity-driven flow with prescribed volume flux of a thin film of Newtonian fluid with temperature-dependent viscosity (i.e. thermoviscous flow) over a uniformly heated or cooled stationary horizontal cylinder is studied. Numerical results along with asymptotic solutions in appropriate limits are presented giving an insight into the effects of thermoviscosity and heat transfer at the free surface. Next, we consider steady two-dimensional flow of a prescribed load (mass) of Newtonian fluid with temperature-dependent viscosity on a uniformly heated or cooled rotating horizontal cylinder. The existence of a critical solution with a critical load above which no solutions exist is found, and both this critical solution and the case of prescribed subcritical load are studied in detail, with both numerical and asymptotic solutions presented. In particular, it is found that back ow (i.e. flow counter to the direction of rotation) occurs within a certain region of parameter space (back ow never occurs in the corresponding isothermal problem). Finally, the steady isothermal flow of a symmetric thin slowly-varying rivulet of a non-perfectly wetting Newtonian fluid on either the outside or the inside of a uniformly rotating horizontal cylinder is considered. Numerical and asymptotic solutions in appropriate limits are presented and it is found that rivulet flow on a rotating cylinder gives rise to a critical solution similar in nature to the critical solution found for the classical two-dimensional problem. We also show that back flow occurs within a particular region of parameter space.
Publication date 2012
Name University of Strathclyde. Dept. of Mathematics and Statistics.
Thesis note Thesis PhD University of Strathclyde 2012 T13213
System Number 000002093

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