Numerical Investigation on the Conical Flow of Viscoelastic Fluids

AHMED SHAREEF; Alaa Al-Muslimawi

doi:10.37934/cfdl.16.4.8597

Authors

Ahmed M. Shareef Department of Mathematics, College of Science, University of Basrah, Basrah, Iraq
Alaa Al-Muslimawi Department of Mathematics, College of Science, University of Basrah, Basrah, Iraq

DOI:

https://doi.org/10.37934/cfdl.16.4.8597

Keywords:

Galerkin method, Hybrid finite element/volume scheme, Phan–Thien/Tanner model, Stick-slip, Viscoelasticity

Abstract

The conical problem represents one of the important problems in the various fields of industrial as the automotive industry and the aerospace industry, due to their great role in controlling the flow of liquids and gases. This article covers a computational investigation of incompressible the Phan–Thien/Tanner shear-thinning viscoelastic fluid flow through a conical converging channel. Here, we select hybrid finite element/finite volume algorithm as a first time to treat such problem. This method consists of the combination of a Taylor-Galerkin/pressure correction finite element method (TGPC-FEM) and a cell-vertex finite volume approach (CV-FEA) to solve the system of partial differential equations that govern the fluid flow. The TGPC-FEM is employed to the momentum and mass conservation models, while the stress constitutive models are treated by finite volume implementation. The findings of current study are concerned with stress response, deformation rate, and pressure drop under variations in Weissenberg number and EPTT parameters. The effect of shear-thinning behaviour with the EPTT representation is also considered.

Author Biographies

Ahmed M. Shareef, Department of Mathematics, College of Science, University of Basrah, Basrah, Iraq

ahmad.muhamad.sci@uobasrah.edu.iq

Alaa Al-Muslimawi , Department of Mathematics, College of Science, University of Basrah, Basrah, Iraq

alaa.abdullah@uobasrah.edu.iq

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