Abstract
The effect of the presence of surface active agents on the stability characteristics of falling liquid films is considered. Using an asymptotic analysis based on the assumption of a large surface elasticity parameter, it is shown that: (1) the bifurcation Reynolds number which is obtained via a small wave number perturbation solution is indeed the critical Reynolds number for the system, and (2) that the presence of surfactants results in a large decrease in the growth rate and a large increase in the wave length of the most rapidly amplified disturbance.
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