Surface Wave on a Viscous Fluid Film down an Inclined Uneven Wall

Zheng Ren Wu; Guan Fu; Zhao Xia Song

doi:10.4028/www.scientific.net/AMM.684.154

Paper Titles

Overview of Time-Frequency Analysis Techniques in Vibration Signals of Rotating Machinery
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Prediction of Cutting-Direction Burr Height in Micro-Milling
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Analysis of the Deterioration of Harmonic Local Irregularity on Locomotive Wheel-Rail Vertical Force
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Numerical Simulation of Curing Deformation of Thermosetting Resin Matrix Composite Curved Structure
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Surface Wave on a Viscous Fluid Film down an Inclined Uneven Wall
p.154

Vibration of Initially Stressed Functionally Graded Material Plates and Shells
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Research on Simulation Modeling of Flight Aircraft Air under the Condition of Turbulent Flow
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Probabilistic Modeling of Fatigue Damage Accumulation under Spectrum Loading
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Impact Damage Resistance of Thin-Core Sandwich Structures Subjected to Low-Velocity Impact
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 684Surface Wave on a Viscous Fluid Film down an...

Surface Wave on a Viscous Fluid Film down an Inclined Uneven Wall

Abstract:

The paper is devoted to a theoretical study of nonlinear wave on a free-surface thin film down an inclined uneven plane. The problem is quite different from that of a viscous films flow along a smooth surface. Thus nondimensional variables are introduced in two ways according to the different relationship of the shallow water parameter and the topography parameter. Further, the zero-order and first-order stream function are derivated on the basis of perturbation method. Finally, the equations which govern the surface height of surface wave on a viscous fluid film down an inclined uneven wall are obtained.