A Finite Element Method for Calculating the Pressure-drag Flow of Polymers Based on Computational Fluid Dynamics

DOI

10.2991/ame-16.2016.209How to use a DOI?

Keywords

Navier-Stock equations, Newtonian fluid model, Pressure-drag flow, FEM.

Abstract

In this research, a Navier-Stokes equations based Newtonian fluid model was employed to conduct mathematical modeling on the polymer fluids with low shear rate under pressure-drag flow. Then, a weight function for the equations of the continuity and motion of the fluids is obtained by using an interpolation function. Besides, the authors constructed a general FEM equation based on a rheological model by setting the data, and the coordinates of grid nodes, as well as relevant boundary conditions. The obtained values revealed that the flow rate under compound conditions precisely agrees with that under the effect of two single boundary conditions respectively; while the pressure distribution accords well with the set boundary conditions. These have proven the correctness of the solution using the method proposed. The method of changing the ways of the division and the setting of grids can be applied in the FEM analysis of other two dimensional Newtonian rheological models with regular shapes.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Chao Wang
PY  - 2016/06
DA  - 2016/06
TI  - A Finite Element Method for Calculating the Pressure-drag Flow of Polymers Based on Computational Fluid Dynamics
BT  - Proceedings of the 2nd Annual International Conference on Advanced Material Engineering (AME 2016)
PB  - Atlantis Press
SP  - 1286
EP  - 1292
SN  - 2352-5401
UR  - https://doi.org/10.2991/ame-16.2016.209
DO  - 10.2991/ame-16.2016.209
ID  - Wang2016/06
ER  -