Numerical Study of Shear and Extensional Inelastic Contraction Flows

Abstract

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

Numerical Investigation on the Conical Flow of Viscoelastic Fluids

“…The weighting parameter, 0 ≤ 𝛿 𝑇 ≤ 1, balances the proportions taken between the contributions from the median dual cell and 𝑓𝑣 triangle 𝑇. The discrete stencil (18) identifies fluctuation distribution, median dual-cell contributions, area weighting, and upwinding factors (𝛼 𝑙 𝑇 scheme dependent) [24][25][26][27].…”

Numerical Simulation of Contraction Flows of Newtonian Fluid Using Taylor Galerkin Pressure Correction Finite Element Method

“…The numerical solution of these equations involves the use of efficient and precise numerical techniques and methodologies. Many researchers have presented studies and research on a numerical solution using this method (see [10][11][12][13][14]). Thus, literature on (TGPC-FEM) for fluid flows is covered broadly (see for example [15][16][17][18]).…”