Abstract
The comprehensive experimental analysis of the fluid viscosity effect on the standing gravity waves excited at parametric resonance is carried out. The viscous effects on the frequency range of excitement of the second wave mode, its resonance dependences, and the processes of damping and approaching the steady-state regime are quantitatively estimated by varying the viscosity over a wide range. It is found that the waves are regularized without breaking when the kinematic viscosity of the workingmedium becomes higher than a threshold value. A mechanism of viscous regularization of wave motion is suggested. In accordance with this mechanism, the effects observed experimentally relate to the presence of the shortwave cutoff domain in which viscous dissipation becomes the dominant factor and the shortwave perturbations responsible for breaking the standing wave are suppressed.
Similar content being viewed by others
References
R. A. Ibrahim, “Recent Advances in Physics of Fluid Parametric Sloshing and Related Problems,” ASME. J. Fluids Eng. 137 (9), 090801–090801–52. doi:10.1115/1.4029544
V. V. Bolotin, “FluidMotion in an Oscillating Reservoir,” Prikl. Mat. Mekh. 20(2), 293–294 (1956).
R. A. Ibrahim, Liquid Sloshing Dynamics: Theory and Applications (Cambridge Univ. Press, Cambridge, 2005).
V. A. Kalinichenko and S. Ya. Sekerzh–Zenkovich, “Breakdown of parametric fluid oscillations,” Fluid Dynamics 45 (1), 113–120 (2010).
V. A. Kalinichenko, “Breaking of Faraday Waves and Jet Launch Formation,” Fluid Dynamics 44 (4), 577–586 (2009).
G. I. Taylor, “An Experimental Study of StandingWaves,” Proc.Roy. Soc. London. Ser.A 218 (1132), 44–59 (1953).
H. Bredmose, M. Brocchini, D. H. Peregrine, and L. Thais, “Experimental Investigation and Numerical Modelling of Steep ForcedWaterWaves,” J. FluidMech. 490, 217–249 (2003).
H. Lamb, Hydrodynamics (Cambridge University Press, Cambridge, 1932; Gostekhizdat, Moscow, Leningrad, 1947).
H. H. LeBlond and F. Mainardi, “The Viscous Damping of Capillary–Gravity Waves,” Acta Mechanica 68 (3–4), 203–222 (1987).
Yu. V. Sanochkin, “Viscosity Effect on Free Surface Waves in Fluids,” Fluid Dynamics 35 (4), 599–604 (2000).
L. N. Sretenskii, “Waves on the Surface of a Viscous Fluid. Pt. 1,” Tr. TsAGI 541, 1–34 (1941).
A. V. Bazilevskii, V. A. Kalinichenko, and A. N. Rozhkov, “Viscous Regularization of Breaking Faraday Waves,” JETP Letters 107 (11), 684–689 (2018).
G. N. Mikishev and B. I. Rabinovich, Dynamics of Thin–Walled Structures with Sections Containing Fluid (Mashinostroenie,Moscow, 1971) [in Russian].
A. V. Bazilevskii, S. Wongwises, V. A. Kalinichenko, and S. Ya. Sekerzh–Zen’kovich, “Experimental Study of the Bottom Structure Effect on the Damping of Standing Surface Waves in a Rectangular Vessel,” Fluid Dynamics 36 (4), 652–657 (2001).
S. V. Nesterov, “Parametric Excitation of Waves on the Surface of a Heavy Liquid,” Morskie Gidrofiz. Issledovaniya 3 (45), 87–97 (1969).
G. H. Keulegan, “Energy Dissipation in Standing Waves in Rectangular Basins,” J. Fluid. Mech. 6 (1), 33–50 (1959).
J.W. Miles, “Surface–Wave Damping in Closed Basins,” Proc. R. Soc. Lond. A. 297, 459–475 (1967).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.V. Bazilevskii, V.A. Kalinichenko, A.N. Rozhkov, 2018, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2018, No. 6, pp. 30–42.
Rights and permissions
About this article
Cite this article
Bazilevskii, A.V., Kalinichenko, V.A. & Rozhkov, A.N. Effect of Fluid Viscosity on the Faraday Surface Waves. Fluid Dyn 53, 750–761 (2018). https://doi.org/10.1134/S0015462818060150
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0015462818060150