Next Article in Journal / Special Issue
Dynamics of Internal Envelope Solitons in a Rotating Fluid of a Variable Depth
Previous Article in Journal / Special Issue
Constructive Study of Modulational Instability in Higher Order Korteweg-de Vries Equations
Open AccessFeature PaperArticle

Surface Waves Enhance Particle Dispersion

Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Ave, Cambridge, MA 02139-4307, USA
Author to whom correspondence should be addressed.
Fluids 2019, 4(1), 55;
Received: 11 February 2019 / Revised: 13 March 2019 / Accepted: 14 March 2019 / Published: 19 March 2019
(This article belongs to the Special Issue Nonlinear Wave Hydrodynamics)
We study the horizontal dispersion of passive tracer particles on the free surface of gravity waves in deep water. For random linear waves with the JONSWAP spectrum, the Lagrangian particle trajectories are computed using an exact nonlinear model known as the John–Sclavounos equation. We show that the single-particle dispersion exhibits an unusual super-diffusive behavior. In particular, for large times t, the variance of the tracer | X ( t ) | 2 increases as a quadratic function of time, i.e., | X ( t ) | 2 t 2 . This dispersion is markedly faster than Taylor’s single-particle dispersion theory which predicts that the variance of passive tracers grows linearly with time for large t. Our results imply that the wave motion significantly enhances the dispersion of fluid particles. We show that this super-diffusive behavior is a result of the long-term correlation of the Lagrangian velocities of fluid parcels on the free surface. View Full-Text
Keywords: turbulent dispersion; waves; stokes drift turbulent dispersion; waves; stokes drift
Show Figures

Figure 1

MDPI and ACS Style

Farazmand, M.; Sapsis, T. Surface Waves Enhance Particle Dispersion. Fluids 2019, 4, 55.

AMA Style

Farazmand M, Sapsis T. Surface Waves Enhance Particle Dispersion. Fluids. 2019; 4(1):55.

Chicago/Turabian Style

Farazmand, Mohammad; Sapsis, Themistoklis. 2019. "Surface Waves Enhance Particle Dispersion" Fluids 4, no. 1: 55.

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Back to TopTop