Abstract
The governing equations for mass continuity and liquid motion in thin-film flow are presented in terms of the parameters at the free interface, the so-called collocation line. Stability analyses in both temporal and spatial formulations are carried out on the interfacial collocation equations and result in simple algebraic equations, which relate the wave characteristics at inception to the Weber and Reynolds numbers of the flow. Also, analytical assymptotic solutions are derived. The results obtained for temporal and spatial formulations and for stationary waves are discussed and compared with previous theoretical and experimental studies.
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