Numerical Study of Shear and Extensional Inelastic Contraction Flows
DOI:
https://doi.org/10.37934/cfdl.15.8.107121Keywords:
Contraction flows, Inelastic fluid, Taylor Galerkin method, shear viscosity, extensional viscosityAbstract
This study investigates the numerical solution of viscous sharp contraction flow using a time-step Taylor-Galerkin-pressure correction finite element method (T-G/P-C). Such a complex problfem displays a start-up, 4:1contraction creeping flow, shear viscosity and extensional viscosity responses. Here, inelastic shear-extensional viscosity model is proposed with a single power-index response and identical in shear and extension, namely Fit-I. In this context, extension rate and shear rate are defined by depending on the second and third invariants of the rate of deformation tensor. Employing (T-G/P-C) method by combining with extensional and shear viscosity representation to treat such problem gives novel scenario. The interesting of this study lies in determining the efficient effect of relevant parameters of inelastic shear-extensional viscosity model on the solutions components, and rate of convergence issues. Attention also is paid to the impact of these parameters on the rate of convergence issues
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