Computational Modeling and Dynamics of the Oil and Water Flow Using the Galerkin Approximation
- 1 Department of Physical and Mathematical Sciences, Chittagong Veterinary and Animal Sciences University, Chittagong, Bangladesh
- 2 Department of Mathematics, Chittagong University of Engineering & Technology, Chittagong, Bangladesh
Abstract
A Computational Fluid Dynamic (CFD) model is presented to analyze the flow dynamics of a two phase incompressible flow in the application sectors of different industries. The Finite Element method (FEM) which is based on the Galerkin approximation, has been implemented for this two phase flow model. Generally, two-phase flows can occur in different forms like gas-liquid, liquid-liquid and solid-liquid forms. The Oil and Water two-phase flow is an important phenomenon in petroleum industry for crude oil production and transportation. In our study, a laminar flow of liquid-liquid phase is considered to simulate the flow dynamics where the liquid phases are water and oil. The COMSOL Multiphysics software is used to perform the simulation including velocity profile, volume fraction, shear rate, pressure distributions and interfacial thicknesses at different times. A typical circular tube domain with radius 0.05 m and length 8 m is assumed for our simulation.
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