Buoyancy force and magnetic field effects on laminar vortex breakdown and fluid layers

Abstract

In this study, the Generalized Integral Transformation Technique (GITT) is used to describe the effect of buoyancy force and magnetic field on the vortex breakdown process generated by the rotation of an electrically conductive fluid. A magnetic field is positioned vertically to stabilize the swirling flow caused by the rotation of the bottom disc of a cylindrical recipient. Three fluids were compared in this study where the range of Richardson number is 0 ≤Ri ≤2.0. When the temperature difference is greater than Ri = 0.1, many layers become visible. These stratified flu id layers act as thermal insulators. In the case of stratification, the increased magnetic field reduces the total number of layers formed in the fluid. The influence of gradient temperature on the distribution of the layers generated is discussed. The limitations between the multilayer structure and the monolayer structure for three fluids are calculated as a function of the flow parameters.

MHD Effect on the Thermocapillary Silicon Melt Flow in Various Annular Enclosures

“…[10][11][12][13][14] To control flow physics, several types of research including the present study, impose a magnetic field on annular geometries or two coaxial cylinders where an electrically conductive fluid flows in the annular space. [15][16][17][18][19][20][21][22][23] The flow of electric conductive silicon melt in the presence of a magnetic field produces an induced current, which interacts with the magnetic field in turn. Then a Lorentz force in the opposite direction of the flow of silicon melt would be created.…”

“…[ 10–14 ] To control flow physics, several types of research including the present study, impose a magnetic field on annular geometries or two coaxial cylinders where an electrically conductive fluid flows in the annular space. [ 15–23 ]…”