Magnetohydrodynamic Effect on Two-Phase Flow in the porous medium through a Rectangular Curved Duct

Abstract 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.