Capillary - gravity waves : The effect of viscosity on the wave resistance D . Richard , E . Raphaël Collège de France
نویسندگان
چکیده
The effect of viscosity on the wave resistance experienced by a two-dimensional 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 approaches the minimum phase speed c min = (4gγ/ρ) 1/4 (ρ is the liquid density, γ is the liquid-air surface tension, and g the acceleration due to gravity), unlike what is predicted by the inviscid theory.
منابع مشابه
Capillary - gravity waves : a “ fixed - depth ” analysis
Europhysics Letters PREPRINT Capillary-gravity waves: a " fixed-depth " analysis. PACS. 68.10.-m – Fluid surfaces and fluid-fluid interfaces. PACS. 47.17.+e – Mechanical properties of fluids. Abstract. – We study the onset of the wave-resistance due to the generation of capillary-gravity waves by a partially immersed moving object in the case where the object is hold at a fixed immersion depth....
متن کاملCapillary - gravity wave resistance in ordinary and magnetic fluids
Wave resistance is the drag force associated to the emission of waves by a moving disturbance at a fluid free surface. In the case of capillary-gravity waves it undergoes a transition from zero to a finite value as the speed of the disturbance is increased. For the first time an experiment is designed in order to obtain the wave resistance as a function of speed. The effect of viscosity is expl...
متن کاملEFFECT OF COUNTERPROPAGATING CAPILLARY GRAVITY WAVE PACKETS ON THIRD ORDER NONLINEAR EVOLUTION EQUATIONS IN THE PRESENCE OF WIND FLOWING OVER WATER
Asymptotically exact and nonlocal third order nonlinear evolution equations are derivedfor two counterpropagating surface capillary gravity wave packets in deep water in thepresence of wind flowing over water.From these evolution equations stability analysis ismade for a uniform standing surface capillary gravity wave trains for longitudinal perturbation. Instability condition is obtained and g...
متن کاملSelf-consistent theory of capillary-gravity-wave generation by small moving objects.
We investigate theoretically the onset of capillary-gravity waves created by a small object moving at the water-air interface. It is well established that, for straight uniform motion, no steady waves appear at velocities below the minimum phase velocity c(min)=23 cm/s. At higher velocities, the emission of capillary-gravity waves creates an additional drag force. The behavior of this force nea...
متن کاملAn Estimation of Wave Attenuation Factor in Ultrasonic Assisted Gravity Drainage Process
It has been proved that ultrasonic energy can considerably increase the amount of oil recovery in an immiscible displacement process. Although many studies have been performed on investigating the roles of ultrasonic waves, based on the best of our knowledge, little attention has been paid to evaluate wave attenuation parameter, which is an important parameter in the determination of the energy...
متن کامل