Department of Mathematics

Dr. Salma Parvin

Professor
Specialization

Computational Fluid Dynamics, Numerical Heat Transfer, Quantum Mechanics

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All Publications
Khalilur Rahman, Salma Parvin, Abdul Hakim Khan
Analysis of Two-phase Flow through a Rectangular Curved Duct
Hill Publication, Journal of Applied Mathematics and Computation, 2023
Publication Type: Journal
, Publication Link
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.
Khalilur Rahman, Salma Parvin, Abdul Hakim Khan
Analysis of two-phase flow in the porous medium through a rectangular curved duct.
Research Square, Experimental and Computational Multiphase Flow, 2023
Publication Type: Journal
, Publication Link
For the best structure and reliable maintenance, two- or multiphase flow is becoming more and more essential in engineering systems. However, a variety of different of biological organisms and natural phenomena that exhibit two-phase situations can be explored to improve our knowledge of this. This is so because current industrial technology does not place these limitations. This research aims to investigate the effect of an external magnetic field on unsteady laminar incompressible two-phase flow in a porous medium via a rectangular curved duct. The relevant governing equations are represented by the Navier-Stokes equations and by the Level set equation with boundary conditions. Fluid flow through curved rectangular ducts behaves differently from fluid flow through straight ducts due to the centrifugal action generated by duct curvature. Within curved ducts, centrifugal force is generated secondary flow vortices and spiraling fluid motion. This analysis graphically depicts the fluid phase distribution, the Dean vortex, velocity contours, and fluid volume fractions. Furthermore, displayed are the effects of the aspect ratio, porosity, Dean number, radius of curvature, and Hartmann number. Additionally, a comparison of two-phase flow between various fluids is presented.
Md. Khalilur Rahman, Salma Parvin, Md. Abdul Hakim Khan
Magnetohydrodynamic Effect on Two-Phase Flow in the porous medium through a Rectangular Curved Duct
Research Square, International Journal of Applied and Computational Mathematics, 2022
Publication Type: Journal
, Publication Link
For the best structure and reliable maintenance, two- or multiphase flow is becoming more and more essential in engineering systems. However, a variety of different of biological organisms and natural phenomena that exhibit two-phase situations can be explored to improve our knowledge of this. This is so because current industrial technology does not place these limitations. This research aims to investigate the effect of an external magnetic field on unsteady laminar incompressible two-phase flow in a porous medium via a rectangular curved duct. The relevant governing equations are represented by the Navier-Stokes equations and by the Level set equation with boundary conditions. Fluid flow through curved rectangular ducts behaves differently from fluid flow through straight ducts due to the centrifugal action generated by duct curvature. Within curved ducts, centrifugal force is generated secondary flow vortices and spiraling fluid motion. This analysis graphically depicts the fluid phase distribution, the Dean vortex, velocity contours, and fluid volume fractions. Furthermore, displayed are the effects of the aspect ratio, porosity, Dean number, radius of curvature, and Hartmann number. Additionally, a comparison of two-phase flow between various fluids is presented.
Md Khalilur Rahman, Salma Parvin, Md. Abdul Hakim Khan
Analysis of two-Phase Flow in Male Medium Through a Rectangular Curved Duct
SSRN, 13th International Conference on Marine Technology (MARTEC 2022), 2022
Publication Type: Conference
, Publication Link
For their optimal structure and secure maintenance, two- or multiphase flow is becoming more and more significant in engineering systems. To better appreciate, however, two-phase situations can be observed in a broad range of biological organisms and natural phenomena. It's because modern industrial technology does not impose such limitations. This study's major objective was to investigate how well a porous medium impacted an unsteady laminar incompressible two-phase flow through a rectangular curved duct. The Navier-Stokes equations and Level set equation with the boundary conditions represent the corresponding governing equations of physical problem. Due to the centrifugal force generated by the duct's curvature, fluid flow across curved rectangular ducts behaves differentially from fluid flow across straight ducts. Centrifugal force fluids to whirl, generating new flow vortices through 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 and porosity also displayed. The results reveal that the unstable behavior of the flow reduces for the increasing values of curvature, Dean number, and high viscosity flow.