Fluid flow through a straight pipe in a rotating system with magnetic field acting along center line having hall current

Abstract

A computational simulation related with the study of the influence of Hall Current of a viscous incompressible steady fluid flow through a rotating straight pipe of rectangular cross-section in the presence of magnetic field along the center line is investigated numerically. A cylindrical coordinate system has been employed to derive the steady two-dimensional momentum equations. By using the usual transformation, the steady two dimensional coupled nonlinear partial momentum equations are transferred into non-dimensional coupled nonlinear partial momentum equations. The simulated result of the non-linear dimensionless problem is solved numerically with Spectral Method as the main tool and Collocation Method, Chebyshev Polynomial and Newton-Raphson Method are also used as secondary tools. Also, Arc length Method is used to compute the critical zone results. The influence of magnetic parameter, hall parameter, pressure gradient parameter and rotating parameter, the nature of the total flow (flux) and streamline flow are investigated with different aspect ratios. For strong hall current, magnetic force and Coriolis force, all fluid particles strength is weak. The Compaq visual FORTRAN 6.6a, Tech plot and Gost Script as well as Gost View software’s are used for simulation as well as plotting. Finally, the axial flow and secondary flow have been shown in contour and streamlines format.