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Experimental and Computational Multiphase Flow 2024, 6(1): 67-83 https://doi.org/10.1007/s42757-023-0159-9
Research Article | Issue | Published: 25 November 2023

Analysis of two-phase flow in the porous medium through a rectangular curved duct

Show Author's Information Khalilur Rahman1,2( ),  Salma Parvin2,  Abdul Hakim Khan2
1. Department of Mathematics, Bangladesh Civil Service, Ministry of Education, Dhaka 1000, Bangladesh
2. Department of Mathematics, Bangladesh University of Engineering & Technology, Dhaka 1000, Bangladesh
Keywords:
two-phase flow, finite element method, porous medium, rectangular curved duct, Dean number
Cite this article:
Rahman K, Parvin S, Khan AH. Analysis of two-phase flow in the porous medium through a rectangular curved duct. Experimental and Computational Multiphase Flow, 2024, 6(1): 67-83. https://doi.org/10.1007/s42757-023-0159-9
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Abstract Full text About this article

The current work is primarily concerned with the analysis of an unsteady incompressible laminar two-phase flow in a porous medium through a rectangular curved duct. The Navier–Stokes equations and the level set equation with boundary conditions represent the corresponding governing equations. Fluid flow through curved rectangular ducts is influenced by the centrifugal action arising from duct curvature and has a unique behavior different from fluid flow through straight ducts. Centrifugal force-induced secondary flow vortices produce spiraling fluid motion within curved ducts. This paper shows the vector plot of the field flow, velocity contours, and fluid volume fractions graphically. The effect of curvature, Dean number, aspect ratio, porosity, and particle concentration on each fluid domain is also displayed. A comparison of the two-phase flow between different fluids is also shown. The results reveal that the unstable behavior of the flow is reduced with increased values of curvature, Dean number, and high viscosity flow.


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About this article

Analysis of two-phase flow in the porous medium through a rectangular curved duct

Show Author's information Khalilur Rahman1,2( ), Salma Parvin2, Abdul Hakim Khan2
1. Department of Mathematics, Bangladesh Civil Service, Ministry of Education, Dhaka 1000, Bangladesh
2. Department of Mathematics, Bangladesh University of Engineering & Technology, Dhaka 1000, Bangladesh

Abstract

The current work is primarily concerned with the analysis of an unsteady incompressible laminar two-phase flow in a porous medium through a rectangular curved duct. The Navier–Stokes equations and the level set equation with boundary conditions represent the corresponding governing equations. Fluid flow through curved rectangular ducts is influenced by the centrifugal action arising from duct curvature and has a unique behavior different from fluid flow through straight ducts. Centrifugal force-induced secondary flow vortices produce spiraling fluid motion within curved ducts. This paper shows the vector plot of the field flow, velocity contours, and fluid volume fractions graphically. The effect of curvature, Dean number, aspect ratio, porosity, and particle concentration on each fluid domain is also displayed. A comparison of the two-phase flow between different fluids is also shown. The results reveal that the unstable behavior of the flow is reduced with increased values of curvature, Dean number, and high viscosity flow.

Keywords: two-phase flow, finite element method, porous medium, rectangular curved duct, Dean number

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Publication history
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Acknowledgements

Publication history

Received: 09 August 2022
Revised: 29 December 2022
Accepted: 29 January 2023
Published: 25 November 2023
Issue date: March 2024

Copyright

© Tsinghua University Press 2023

Acknowledgements

This work is done within the framework of the Ph.D. program of the first author under the Department of Mathematics, Bangladesh University of Engineering and Technology (BUET), Dhaka, Bangladesh. Financial support from the University Grant Commission (UGC), Bangladesh Fellowship program is acknowledged.

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