- Crossref DOI Prefix: 10.31695/IJASRE
- ISSN: 2454 - 8006
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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
Author: David Kibe Muchiri,Isaac Chepkwony
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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