Analysis of Magnetic Effect on UCM Fluid Flow between a Stationary and a Moving Plate

The analysis of MHD UCM fluid flow between a pair of rectangular plates with the top plate moving either towards or apart from the stationary bottom porous plate is presented in this work. By employing similarity transformations, the governing equations of momentum are transformed into non-linear ordinary differential equations. An approximate analytical solution is achieved by adopting the homotopy perturbation technique. The aim of this work is to determine the velocity profile and coefficients of skin friction for various values of different physical parameters. It has been found that as the magnetic parameter enhances, the squeezing flow retards in injection and suction cases. It is also observed that the velocity field declines in the core region with a rise in the porosity parameter. This theoretical study is helpful in the processing of visco-elastic polymers in industry.