We investigate breakup phenomena of a planar liquid sheet for compound disturbances of sinuous and bulge modes. For the sheet with surrounding fluids between solid walls, numerical analysis is performed by means of the discrete vortex method, where double vortex rows and their mirror images are placed so as to satisfy the boundary condition on the walls. It is shown that breakup profiles of the sheet are largely influenced by the difference of linear growth rates between the initial bulge and sinuous mode disturbances. On the other hand, the breakup time is found to be sensitive to the phase difference and wavenumber ratio of these mode disturbances.
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