Capillary-gravity waves: The effect of viscosity on the wave resistance
Denis Richard, Elie Raphael
TL;DR
This paper investigates how viscosity influences wave resistance in capillary-gravity waves, revealing that viscosity prevents the resistance from diverging near the minimum phase speed, unlike in inviscid models.
Contribution
It demonstrates that viscosity bounds wave resistance at the minimum phase speed, extending Rayleigh's linear theory to include viscous effects.
Findings
Wave resistance remains bounded near the minimum phase speed due to viscosity.
Viscosity alters the classical predictions of wave resistance in capillary-gravity waves.
The analysis extends existing theory to account for viscous effects on wave dynamics.
Abstract
The effect of viscosity on the wave resistance experienced by a 2d perturbation moving at uniform velocity over the free surface of a fluid is investigated. The analysis is based on Rayleigh's linearized theory of capillary-gravity waves. It is shown in particular that the wave resistance remains bounded as the velocity of the perturbation approches the minimun phase speed, unlike what is predicted by the inviscid theory.
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