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Analysis of Two-phase Flow through a Rectangular Curved Duct

Khalilur Rahman1,2,*, Salma Parvin2, Abdul Hakim Khan2

1Department of Mathematics, Bangladesh Civil Service, Ministry of Education, Dhaka, Bangladesh.

2Department of Mathematics, Bangladesh University of Engineering & Technology, Dhaka, Bangladesh.

*Corresponding author: Khalilur Rahman

Date: August 31,2023 Hits: 404


The present work mainly focuses on analyzing an unsteady laminar incompressible two-phase flow in a rectangular curved duct. The corresponding governing equations are represented by the Navier-Stokes equations and Level set equation with the boundary conditions. Fluid flow through curved rectangular ducts is in-fluenced 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 and produce spiraling fluid motion within curved ducts. This paper shows the vector plot of the field flow, velocity contours, axial flow velocity and fluid volume fractions visualization graphically. The effect of curvature, Dean number and aspect ratio is also displayed. A comparison of two-phase flow between different fluids is also shown. The results reveal that the unstable behavior of the flow reduces for the increasing values of curvature, Dean number, and high viscosity flow.


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Analysis of Two-phase Flow through a Rectangular Curved Duct

How to cite this paper: Khalilur Rahman, Salma Parvin, Abdul Hakim Khan. (2023) Analysis of Two-phase Flow through a Rectangular Curved Duct. Journal of Applied Mathematics and Computation7(3), 324-342.

DOI: http://dx.doi.org/10.26855/jamc.2023.09.001