TY - JOUR
T1 - Boundary layer flow and bed shear stress under a solitary wave
AU - Liu, Philip L.F.
AU - Park, Yong Sung
AU - Cowen, Edwin A.
N1 - Funding Information:
This work was supported by grants from National Science Foundation to Cornell University (OCE-0452862 and CTS-0427115). Yong Sung Park would also like to acknowledge the support from Korea Science and Engineering Foundation under grant number M06-2004-000-10541-0.
PY - 2007/3/10
Y1 - 2007/3/10
N2 - Liu & Orfila (J. Fluid Mech. vol. 520, 2004, p. 83) derived analytical solutions for viscous boundary layer flows under transient long waves. Their analytical solutions were obtained with the assumption that the nonlinear inertia force was negligible in the momentum equations. In this paper, using Liu & Orfila's solution and the solutions for the nonlinear boundary layer equations, we examine the boundary layer flow characteristics under a solitary wave. It is found that while the horizontal component of the free-stream velocity outside the boundary layer always moves in the direction of wave propagation, the fluid particle velocity near the bottom inside the boundary layer reverses direction as the wave decelerates. Consequently, the bed shear stress also changes sign during the deceleration phase. Laboratory measurements, including the free-surface displacement, particle image velocimetry (PIV) resolved velocity fields of the viscous boundary layer, and the calculated bed shear stress were also collected to check the theoretical results. Excellent agreement is observed.
AB - Liu & Orfila (J. Fluid Mech. vol. 520, 2004, p. 83) derived analytical solutions for viscous boundary layer flows under transient long waves. Their analytical solutions were obtained with the assumption that the nonlinear inertia force was negligible in the momentum equations. In this paper, using Liu & Orfila's solution and the solutions for the nonlinear boundary layer equations, we examine the boundary layer flow characteristics under a solitary wave. It is found that while the horizontal component of the free-stream velocity outside the boundary layer always moves in the direction of wave propagation, the fluid particle velocity near the bottom inside the boundary layer reverses direction as the wave decelerates. Consequently, the bed shear stress also changes sign during the deceleration phase. Laboratory measurements, including the free-surface displacement, particle image velocimetry (PIV) resolved velocity fields of the viscous boundary layer, and the calculated bed shear stress were also collected to check the theoretical results. Excellent agreement is observed.
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U2 - 10.1017/S0022112006004253
DO - 10.1017/S0022112006004253
M3 - Article
AN - SCOPUS:33847083590
SN - 0022-1120
VL - 574
SP - 449
EP - 463
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
ER -