Abstract
The equation relating the average rate of change of disturbance kinetic energy to the rates of work done by the surface tension, the shear stress, the Reynolds stress, and the rate of mechanical energy dissipation through viscosity in a falling liquid film flow down an oscillating vertical plate is obtained. Each term in the equation is evaluated in various regions of parameter space to elucidate the physical mechanism of stabilizing an inherently unstable vertical film flow by use of plate oscillations [Lin, Chen, and Woods, Phys. Fluids 8, 3247 (1996); Lin and Chen, Phys. Fluids 9, 3926 (1997)].
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