International Journal of Advances in Scientific Research and Engineering-IJASRE

Modelling of Shear Banding in Plane Couette Flow of Non-linear Viscoelastic Fluids

Article Category: Applied Mathematics

DOI: 10.31695/IJASRE.2020.33735

Pages: 119-133

Author: David Kibe Muchiri,Isaac Chepkwony

Abstract:

We investigate shear banding phenomena in the plane Couette flow of viscoelastic fluids.The viscoelastic fluids are modelled via the Giesekus constitutive equations with stress diffusion. The nonlinear and coupled  systems  of  equations,  comprising  the  momentum  equation  and the  constitutive  equations,  are solved numerically using semi-implicit finite difference methods. The effects of the fluid parameters on the flow variables are also investigated. Under certain values of the material parameters, we observe formation of shear bands in plane Couette flow.

Keyword: Couette flow, Giesekus model, Shear band,Viscoelastic fluid.

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