Effects of Hall Current and Rotation on MHD Couette Flow of Class-II

Abstract

Effects of Hall current and rotation on steady MHD Couette  flow of Class-II of a viscous, incompressible and electrically conducting
fluid in the presence of a uniform transverse magnetic field are studied. Exact solution of the governing equations is obtained in closed form. Expressions for shear stress at the lower and upper plates due to primary and secondary flows and mass flow rates in the primary and secondary flow directions are derived. Asymptotic behavior of the solution for velocity and the induced magnetic field is analyzed for large values of rotation parameter K2 and magnetic parameter M2 to gain some physical insight into flow pattern. Heat transfer characteristics of the fluid are considered taking viscous and Joule dissipations into account. Numerical solution of energy equation and numerical values of rate of heat transfer at lower and upper plates are computed with the help of  MATLAB software. The numerical values of velocity, induced magnetic field and fluid temperature are displayed graphically versus channel width variable  for various values of pertinent flow parameters whereas numerical values of shear stress at the lower and upper plates due to
primary and secondary flows, mass flow rates in the primary and secondary flow directions and rate of heat transfer at the lower and upper plates are presented in tabular form for various values of pertinent flow parameters.