ON THE DERIVATION OF EVOLUTION EQUATIONS FOR INTERFACIAL WAVES

Abstract
A general method-for deriving evolution equations for long interfacial waves in two-phase flow is presented. Particular attention is paid to the form of the stress conditions in curvilinear coordinates. The method is applied to a class of film flows in which the interface is stress-free. The resulting evolution equations are presented for both planar and cylindrical film flows and the simple “conservation“ form of these equations is discussed and exhibited.

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