Indian Journal of Science and Technology
Year: 2019, Volume: 12, Issue: 32, Pages: 1-6
Abid Ali Memon1*, Hisam-uddin Shaikh2, Baqir Ali Shah2, Muhammad Afzal Soomro3, Abdul Ghafoor Shaikh3,4 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]
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
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