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- Title
Simulation of Newtonian axisymmetric pipe flow by using a Taylor Galerkin/pressure correction finite element method.
- Authors
Fadhel, Ihssan A.; Al-Muslimawi, Alaa H.
- Abstract
In this study, a time stepping Taylor Galerkin/pressure correction finite element scheme (TS-TG/PC-FEM) is employed to treat incompressible Newtonian flows. In this context, Navier-Stoke partial differential equations have been used to describe the motion of the fluid. The equations consist of a time-dependent continuity equation for conservation of mass and time-dependent conservation of momentum equations. Examples considered include a start-up of Poiseuille, flow in a axisymmetric rectangular channel for the Newtonian fluid. This test is conducted by taking a circular section of the pipe. The critical level of number is investigated under the effect of various parameters. Moreover, the effect of viscosity variation and the boundary maximum axial velocity ((uz)max) that imposed at the inlet upon the solution is studied as well. In this manner, the findings reveal that, there is a significant effect from viscosity variation and ((uz)max) value on the level of number such that the extremely limit of number that can be reached was around 576 with ux)max)=1 and μ=1. In contrast, the results shown that the influence of viscosity variation was an opposite of what that was in the case of number situation, where the high viscosity gave high level of density. The influence of geometry design on the level of pressure drop and pressure coefficient is covered in this article.
- Subjects
PIPE flow; FINITE element method; GALERKIN methods; NEWTONIAN fluids; TAYLOR'S series
- Publication
Basrah Journal of Science / Magallat Al-Barat Li-L-ulum, 2020, Vol 38, Issue 2, p198
- ISSN
2664-8288
- Publication type
Article
- DOI
10.29072/basjs.202024