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Effects of Surface Tension over a Flow Past a Flat Plate

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dc.contributor.author Gathia, P.W.
dc.contributor.author Lonyangapuo, . P.
dc.date.issued 2012-10
dc.date.accessioned 2021-05-04T08:12:30Z
dc.date.available 2021-05-04T08:12:30Z
dc.identifier.uri http://41.89.96.81:8080/xmlui/handle/123456789/2499
dc.description.abstract We consider a free surface flow past a flat plate. We consider relations between the results of Anderson and Vanden-Broeck (1996) and those of Osborne and Stump (2000), and present new solutions. There is need to know the number of parameters needed to fix solutions uniquely. We show here that there is a three parameter family of solutions when the fluid is of finite depth. These solutions are characterised by a train of waves in the downstream region and by a discontinuity in slope at the separation point. The family includes a two parameter sub-family for which the free surface leaves the plate tangentially. It is shown that this sub-family reduces to the linear solutions of Osborne and Stump (2000) when the depth of submergence of the plate is small. Also, the three parameter family reduces to the one parameter family of Anderson and Vanden-Broeck (1996) as the depth of the water tends to infinity. Finally, fully nonlinear solutions with large capillary waves are presented. en_US
dc.language.iso en en_US
dc.publisher Egerton University en_US
dc.subject Surface Tension en_US
dc.title Effects of Surface Tension over a Flow Past a Flat Plate en_US
dc.title.alternative Effects of Surface Tension over a Flow Past a Flat Plate en_US
dc.type Other en_US


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