Solitary Waves on a Viscous Fluid Film down a Vertical Wall

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  • Nakaya Choji
    Institute of Interdisciplinary Research, Faculty of Engineering, University of Tokyo

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A new type of solution is found for a nonlinear equation which describes the free surface of a viscous fluid film flowing down a vertical plane wall. A strongly nonlinear corrugation of the film surface concentrates in a small portion, and propagates downward with a constant velocity. Single waves observed experimentally can be considered as a train of such solitary waves.

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