Liquid film flow over an unsteady moving surface with time-varying stretching velocity and inclined magnetic field

In this paper, we analyse the effect of an inclined magnetic field on the flow of a fluid film near an unsteady moving surface, by describing the time-varying stretching velocity of the moving surface as Uw = Ax/t. The Navier-Stokes equations governing the flow are then modified into a similarity ODE, which is treated by a numerical technique and analyzed in both axisymmetric and two-dimensional cases. The results show that solutions exist for a given range of the wallmoving variable. The velocity plots first increase and reach the maximum velocity and then decrease until the boundary condition. The streamlines are analyzed for both axisymmetric and twodimensional flow patterns with respect to the stretching (A > 0) and shrinking wall conditions (A < 0). The study is carried out for large values of the wall motion parameter A. This study can be used to elucidate the effect of applied inclined magnetic field on the flow of liquid film in many practical applications such as in the sheet or wire coating industry, laboratories, painting and many others.& COPY; 2023 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).