Journal of Hydrodynamics

, Volume 18, Issue 1, pp 9–12 | Cite as

Boundary layer flows under solitary wave

  • Philip L.-F. Liu
  • Yong Sung Park
Keynote Lecture


Liu (2006) derived analytical solutions for turbulent boundary layer flows under transient long waves. His analytical solutions were obtained with the assumption that the nonlinear inertia force was negligible in the momentum equations. Using Liu’s general solutions, we examine the turbulent boundary layer flow characteristics under a solitary wave. It is found that while the horizontal component of the fluid particle velocity outside the boundary layer always moves in the same direction of wave propagation, the fluid particle velocity near the bottom inside the boundary layer reverses the direction as the wave decelerates. Consequently, the bottom stress also changes the sign during the deceleration phase.

Key words

solitary wave turbulent boundary layer 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Liu P. L.-F. (2006) Turbulent boundary layer effects on transient wave propagation in shallow water. Roy. Soc. Lond. A. (in press).MathSciNetCrossRefGoogle Scholar
  2. [2]
    Liu, P. L.-F. and Orfila A.(2004) Viscous effects on transient long-wave propagation, J. Fluid Mech., 520, 83–92.MathSciNetCrossRefGoogle Scholar
  3. [3]
    Liu, P. L.-F. Park, Y. S. and Cowen, E. A. (2006) Boundary layer flow and bottom stress. (in preparation)Google Scholar

Copyright information

© China Ship Scientific Research Center 2006

Authors and Affiliations

  1. 1.School of Civil and Environmental EngineeringCornell UniversityIthacaUSA

Personalised recommendations