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.

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.

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.

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.

A computational study has been done to investigate the heat and fluid flow in an open channel with a semicircular heater on the bottom wall under the effect of magnetic field. The walls of the channel are adiabatic while the semicircular heater in the bottom wall is kept at a constant temperature. The inlet and outlet are fixed at the left and right side of the channel. The governing equations are solved by using Galerkin weighted residual finite element technique. In this investigation the involved parameters are Reynolds number, Prandtl number, Hartmann number and joule heating parameter. The effect of Reynolds number, Prandtl number and joule heating parameter for different Rayleigh numbers are investigated while the magnetic parameter Ha (Hartmann number) is kept fixed at 10. The results show that at higher Rayleigh number, joule effect parameter can be utilized to control heat and fluid flow fields. In addition, the effect of Reynolds number on the heat and flow fields becomes insignificant at higher values of Rayleigh number. Finally, Prandtl number is found to have a positive effect on heat transfer rate.