Research Projects

This study focuses on the axial motion of a sphere in a viscous, incompressible, electrically conducting fluid in solid body rotation. The fluid flow problem will be numerically investigated for higher values of flow parameters, such as Reynolds number (Re) and Taylor number (Ta). The study aims to capture the influence of the magnetic field on the Taylor column phenomenon by considering the effects of the penetration of the magnetic field inside the sphere. The study also examines the validity of Quasi-Static approximation in two-dimensional Magnetohydrodynamic (MHD) flows against corresponding computationally expensive full MHD equations for MHD flows past a sphere. The study will also analyze the behavior of drag, forward and rearward slugs of stagnant fluid, Taylor columns, vorticity, swirl, induced fields, and shear layers. Higher Order Compact Schemes (HOCS) will be used to discretize the governing Navier-Stokes and Maxwell's equations, ensuring higher order accuracy even with coarser grids. The verification of drag trends and understanding of the difference between experimental drag trends and computational results will help build models for particle motion in rotating fluids, enhancing the efficiencies of instruments in metallurgy and manufacturing industries. The development of higher order methods with application to rotating fluids will benefit researchers and engineers in aerospace, chemical, mechanical engineering, meteorology, ocean, and atmospheric sciences.