Travelling-Wave Similarity Solution for Gravity-Driven Rivulet of a Non-Newtonian Fluid
Keywords:Power-law fluid, Rivulet, Travelling-wave similarity solution, Thin film.
Unsteady travelling-wave similarity solution describing the flow of a slender symmetric rivulet of non-Newtonian power-law fluid down an inclined plane is obtained. The flow is driven by gravity with strong surface-tension effect. The solution predicts that at any time and position , the rivulet widens or narrows according to , where is velocity of a rivulet, and the film thickens or thins according to a free parameter , independent of power-law index . The rivulet also has a quartic transverse profile which always has a global maximum at its symmetrical axis.
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