The Influence of the Viscosity on the Progressive Waves

by Yang-Yih Chen, Inst of Harbour & Marine, Technology, Taiwan,

Document Type: Proceeding Paper

Part of: Mechanics Computing in 1990's and Beyond


In a stationary atmosphere, the free-surface progressive wave motion in a real fluid of uniform depth is analysed by using Navier-Stokes equation, and its mechanism is described in first-order approximation. Based on the momentum conservation, it is shown that the tangential stress occurring at the free surface will dynamically induce a normal pressure there, and having difference ? /2 in phase with the tengential stress.

Subject Headings: Navier-Stokes equations | Wave equations | Progressive waves | Water waves | Viscosity | Free surfaces | Fluid mechanics

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