Effects of an inclined magnetic field on the unsteady squeezing flow between parallel plates with suction/injection

Abstract The problem of an unsteady squeezing flow of fluid between two parallel plates under the influence of an inclined magnetic field is analyzed. The longitudinal inclination angle of the applied magnetic field varies from 0 to 90 degrees. Viscous dissipation, Joule heating and the stretching velocity of the lower plate with suction or injection are also taken into account. The transformed nonlinear governing equations are solved numerically by a fourth-order Runge-Kutta scheme coupled with the shooting method. Impacts of the squeeze number, the magnetic parameter, the magnetic inclination angle, the lower-plate stretching parameter, the lower-plate suction/injection parameter and Eckert number on the velocity and temperature are pointed out, respectively. It is found that the inclination angle of the applied magnetic field also plays an important role in the velocity and heat transfer in squeezing flows. The influence of changing the magnetic field strength on the velocity and temperature can also be approximately achieved by adjusting the inclination angle of the applied magnetic field.