Coupled PIV and PTV Measurements of Particle Velocities and Trajectories for Surface Waves Following a Steady Current
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 137, Issue 2
Abstract
This paper describes kinetic aspects of surface waves propagating with or without a current in a constant water depth. Physical properties of the velocity and trajectory of a water particle during one wave cycle were investigated experimentally using intrusive and nonintrusive measuring techniques. Two optical devices were used for the nonintrusive measuring technique: particle image velocimetry (PIV) and particle tracking velocimetry (PTV). The techniques provided the velocity fields and distributions at various phases and the trajectory of the water particle over one cycle, respectively. The instantaneous velocity from the PIV measurement was compared with that given by a third-order Stokes wave theory. Suitable agreement between the two velocity profiles proves the ability of the PIV technique to accurately measure both temporal and spatial variations of the velocity. The PIV technique was applied to the prediction of particle trajectories in an Eulerian scheme. The significant novel element of our technique is the use of the velocities at surrounding Eulerian grid points to identify a Lagrangian point.
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References
Adrian, R. J. (1991). “Particle imaging techniques for experimental fluid mechanics.” Annu. Rev. Fluid Mech., 23, 261–304.
Airy, G. B. (1845). On tides and waves, Encyclopedia Metro, London, 241–396.
Bagnold, R. A. (1946). “Motion of waves in shallow water: Interaction between waves and sand bottom.” Proc. R. Soc. London, Ser. A, 187(1008), 1–18.
Chang, H.-K., Chen, Y.-Y., and Liou, J.-C. (2009). “Particle trajectories of nonlinear gravity waves in deep water.” Ocean Eng., 36(5), 324–329.
Chang, K.-A., and Liu, P. L.-F. (2000). “Pseudo turbulence in PIV breaking-wave measurements.” Exp. Fluids, 29(4), 331–338.
Constantin, A. (2006). “The trajectories of particles in Stokes waves.” Inventiones Mathematicae, 166(3), 523–535.
Constantin, A., and Villari, G. (2008). “Particle trajectories in linear water waves.” J. Math. Fluid Mech., 10(1), 1–18
Dean, R. G., and Dalrymple, R. A. (1984). Water wave mechanics for engineers and scientists, Prentice-Hall, Englewood Cliffs, NJ, 353.
Debnath, L. (1994). Nonlinear water waves, Academic Press, San Diego, 544.
Fritz, H. M., Hager, W. H., and Minor, H.-E. (2003a). “Landslide generated impulse waves: Part 1: Instantaneous flow fields.” Exp. Fluids, 35(6), 505–519.
Fritz, H. M., Hager, W. H., and Minor, H.-E. (2003b). “Landslide generated impulse waves: Part 2: Hydrodynamic impact craters.” Exp. Fluids, 35(6), 520–532.
Grue, J., Clamond, D., Huseby, M., and Jensen, A. (2003). “Kinematics of extreme water waves.” Appl. Ocean Res., 25(6), 355–366.
Grue, J., Liu, P. L.-F., and Pedersen, G. K., eds. (2004). PIV and water waves, Vol. 9, Advances in coastal and ocean engineering, World Scientific, Singapore, 339.
Hogan, S. J. (1985). “Particles trajectories in nonlinear gravity-capillary waves.” J. Fluid Mech., 151, 105–119.
Jensen, A., Sveen, J. K., Grue, J., Richon, J.-B., and Gray, C. (2001). “Accelerations in water waves by extended particle image velocimetry.” Exp. Fluids, 30(5), 500–510.
Keane, R. D., and Adrian, R. J. (1992). “Theory of cross-correlation analysis of PIV.” Appl. Sci. Res., 49(3), 191–215.
Longuet-Higgins, M. S. (1953). “Mass transport in waters.” Philos. Trans. R. Soc. A, 245(903), 535–581.
Longuet-Higgins, M. S. (1979). “The trajectories of particles in steep, symmetric gravity waves.” J. Fluid Mech., 94(3), 497–517.
Massel, S. R. (1989). “Hydrodynamics of coastal zones.” Oceanography Series 48, Elsevier, Amsterdam, 336.
Raffel, M., Willert, C. E., and Kompenhans, J. (1998). Particle image velocimetry: A practical primer, Springer-Verlag, New York.
Shimizu, R., Shintani, T., and Umeyama, M. (2006). “Instantaneous and Lagragian velocity fields of internal waves on a slope by PIV measurement and numerical simulation.” Annu. J. Coastal Eng., 52, 1–5 (in Japanese).
Stokes, G. G. (1847). “On the theory of oscillatory waves.” Trans. Cambridge Philos. Soc., 8, 441–455.
Uemura, T., Yamamoto, F., and Koukawa, M. (1990). “High speed algorithm for particle tracking velocimetry using binary image.” J. Visual. Soc. Japan, 10(38), 58–64 (in Japanese).
Umeyama, M. (2005). “Reynolds stresses and velocity distributions in a wave-current coexisting environment.” J. Waterway, Port, Coastal, Ocean Eng., 131(5), 203–212.
Umeyama, M. (2008). “PIV techniques for velocity fields of internal waves over a slowly varying bottom topography.” J. Waterway, Port, Coastal, Ocean Eng., 134(5), 286–298.
Umeyama, M. (2009a). “Changes in turbulent flow structure under combined wave-current motions.” J. Waterway, Port, Coastal, Ocean Eng., 135(5), 213–227.
Umeyama, M. (2009b). “Mean velocity changes due to interaction between bichromatic waves and a current.” J. Waterway, Port, Coastal, Ocean Eng., 135(1), 11–23.
Umeyama, M., and Shinomiya, H. (2009). “Particle image velocimetry measurements for Stokes progressive internal waves.” Geophys. Res. Lett., 36, L06603.
Wallet, A., and Ruellan, F. (1950). “Trajectoires internes dans un clapotis partiel.” La Houille Blanche, 5, 483–489 (in French).
Willert, C. E., and Gharib, M. (1991). “Digital particle image velocimetry.” Exp. Fluids, 10(4), 181–193.
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 137 • Issue 2 • March 2011
Pages: 85 - 94
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Sep 24, 2009
Accepted: Jun 22, 2010
Published online: Jun 25, 2010
Published in print: Mar 1, 2011
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