Flow and heat transfer over an unsteady stretching surface with hall effect using Keller box method

Abstract

This report discussed the solution procedure to obtain the velocity and temperature profiles for the unsteady flow and heat transfer past a semi-infinite stretching sheet. In addition, the effects of Hall current and electrically conducting fluid to these profiles are also considered. First, the involved partial differential equations (PDEs) which are the continuity equation, momentum equation and energy equation are derived and then transformed into ordinary differential equations (ODEs) using similarity transformation. Further, the obtained ODEs are reduced to first order ODE using similarities transformation so that these equations can be solved using the existing FORTRAN program. This existing program is very useful to solve any boundary layer flow and heat transfer problem using numerical method known as Keller-box method. The numerical result obtained for velocity and temperature profiles are then plotted graphically by using MATLAB. Results show that the Hall current and magnetic fields strongly influenced the velocity and temperature profiles obtained.