Abstract
The development of a thin liquid film under non-uniform rotation and in the presence of transverse magnetic field has been studied numerically by using the finite-difference technique under the assumption of a planar interface. Similarity variables were used to transform the axisymmetric Navier-Stokes equations into a set of coupled, nonlinear, unsteady, partial differential equations. The time-dependent free surface was mapped into a finite fixed computational domain. It is shown that the rate of film thinning slowed down by increasing either the Hartmann or Eckman number. It is also observed that a small change in the Eckman number has a stronger effect in film thinning than that for the Hartmann number. Furthermore, it is found that a faster rate of thinning can be obtain if the spinner starts impulsively and then increases its spinning rate continuously.
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