Modeling and Simulation of Newtonian Fluid Flow through Two-Dimensional Backward-Facing Step Channel with Finite Element’s Technique

Abid Ali Memon; Hisam uddin Shaikh; Baqir Ali Shah; Muhammad Afzal Soomro; Abdul Ghafoor Shaikh; and A H  Sheikh

doi:10.17485/ijst/2019/v12i32/146075

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Modeling and Simulation of Newtonian Fluid Flow through Two-Dimensional Backward-Facing Step Channel with Finite Element’s Technique

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2019/v12i32/146075

Year: 2019, Volume: 12, Issue: 32, Pages: 1-6

Original Article

Modeling and Simulation of Newtonian Fluid Flow through Two-Dimensional Backward-Facing Step Channel with Finite Element’s Technique

Abid Ali Memon^1*, Hisam-uddin Shaikh², Baqir Ali Shah², Muhammad Afzal Soomro³, Abdul Ghafoor Shaikh^3,4 and A.H. Sheikh³

¹Department of Mathematics, Sukkur IBA University, Sukkur, Sindh, Pakistan; [email protected]
²Department of Mathematics, Shah Abdul Latif University Khairpur Mirs, Khairpur, Sindh, Pakistan; [email protected], [email protected]
³Department of Mathematics and Statistics, QUEST, Nawabshah, Sindh, Pakistan;
[email protected], [email protected]
⁴Department of BS&RS, QUEST, Nawabshah, Sindh, Pakistan; [email protected]

*Author for correspondence
Abid Ali Memon
Department of Mathematics, Sukkur IBA University, Sukkur, Sindh, Pakistan; [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: In this study, the behavior of laminar, incompressible and Newtonian fluid flow through the two dimensional backward facing step channels with the expansion ratio 1:2 is studied. Methods: The governing system of non-linear partial differential equations is worked out with the Galerkin least square finite element method. For computation purpose, the finite element based package COMSOL Multi-Physics 5.0 is used. Findings: The streamline pattern of the velocity field and pressure isobars is conferred at different Reynolds numbers. The minimum and maximum velocity magnitudes as well as pressure at the inlet and outlet including their differences are measured. Moreover, the reattachment length of the vortex organized at the corner of downstream of observed geometry is calculated and contrasted with experimental investigation of Armalyetal and CFD investigation of. Applications: Such fluid dynamics has frequently been used in industries including polymers, petro refineries, paints, biological systems etcetera.

Keywords: Finite Element’s Technique, Newtonian Fluid Flow, Non-Linear Partial Differential Equations