期刊名称:American Journal of Computational Mathematics
印刷版ISSN:2161-1203
电子版ISSN:2161-1211
出版年度:2013
卷号:3
期号:4
页码:297-303
DOI:10.4236/ajcm.2013.34039
出版社:Scientific Research Publishing
摘要:We consider the flow of an incompressible viscous Maxwell fluid between two parallel plates, initially induced by a constant pressure gradient. The pressure gradient is withdrawn and the upper plate moves with a uniform velocity while the lower plate continues to be at rest. The arising flow is referred to as run-up flow. The unsteady governing equations are solved as initial value problem using Laplace transform technique. The expression for velocity, shear stresses on both plates and discharge are obtained. The behavior of the velocity, shear stresses and mass flux has been discussed in detail with respect to variations in different governing flow parameters and is presented through graphs.
关键词:Run-Up Flow; Maxwell’s Fluid; Laplace Transforms; Reynolds Number and Parallel Plate Channels