Run-Up Flow of a Maxwell Fluid through a Parallel Plate Channel

DOI: 10.4236/ajcm.2013.34039   PDF   HTML     3,484 Downloads   5,877 Views   Citations

Abstract

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 The pressure gradient is withdrawn and the upper plate moves with a uniform velocity while the lower plate continues to be at rest.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.

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S. Qadri and M. Krishna, "Run-Up Flow of a Maxwell Fluid through a Parallel Plate Channel," American Journal of Computational Mathematics, Vol. 3 No. 4, 2013, pp. 297-303. doi: 10.4236/ajcm.2013.34039.

Conflicts of Interest

The authors declare no conflicts of interest.

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