TECHNICAL PAPERS
Oct 1, 2006

Hydrodynamic Behavior of Asymmetric Oscillatory Boundary Layers at Low Reynolds Numbers

Publication: Journal of Hydraulic Engineering
Volume 132, Issue 10

Abstract

An experimental and numerical study has been carried out to study the wave boundary layers under asymmetric waves. The experiments were conducted in an oscillating tunnel using a simple mechanical system to generate an asymmetric oscillatory motion similar to cnoidal waves. The velocities were measured by laser Doppler velocimetry and the bottom shear stress was calculated from the cross-stream velocity profile. A low Reynolds number kε model was used to predict the hydrodynamic properties of the cnoidal wave boundary layers. After validating the model with the experimental data, a series of numerical experiments were carried out to study the transitional behavior of these boundary layers by virtue of friction factor and phase difference between mean free-stream velocity and bottom shear stress. Finally a stability diagram was drawn to demarcate the laminar, transition, and fully turbulent regimes using the numerical results. The present study would be useful for the hydraulic and coastal engineers interested in calculating bottom shear stress in order to compute the sediment transport in coastal environments.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

A part of this study was completed when the first writer was on research leave from Sultan Qaboos University, Oman to stay in Japan as Japan Society for the Promotion of Science (JSPS) fellow at Tohoku University, Sendai. The first writer is grateful for the support provided by JSPS, Tohoku University, and Sultan Qaboos University.

References

Asano, T., Godo, H., and Iwagaki, Y. (1988). “Application of low-Reynolds number turbulence models to oscillatory bottom boundary layers.” Coast. Eng. Japan, 30(2), 1–9.
Byrd, P. F., and Friedman, M. D. (1970). Handbook of elliptic integrals for engineers and scientists, 2nd Ed., Springer, New York.
Chapalain, G., and Thais, L. (2000). “Tide, turbulence and suspended sediment modeling in the eastern English channel.” Coastal Eng., 41, 295–316.
Cotton, M. A., and Satnsby, P. K. (2000). “Bed frictional characteristics in a turbulent flow driven by nonlinear waves.” Coastal Eng., 40, 91–117.
Dean, R. G., and Dalrymple, R. A. (1991). Water wave mechanics for engineers and scientists, World Scientific Inc., Singapore.
Debajnia, M., and Watanabe, A. (1992). “Sheet flow under nonlinear waves and currents.” Proc., 23rd Int. Conf. Coastal Engineering, ASCE, New York, 2015–2028.
Hino, M., Sawamoto, M., and Takasu, S. (1976). “Experiments on transition to turbulence in an oscillatory pipe flow.” J. Fluid Mech., 75, 193–207.
Isobe, M. (1985). “Calculation and application of first-order cnoidal wave theory.” Coastal Eng., 9, 309–325.
Jensen, B. L. (1989). “Experimental investigation of turbulent oscillatory boundary layers.” Series paper no. 45, ISVA, Technical Univ. of Denmark, Lyngby, Denmark.
Jensen, B. L., Sumer, B. M., and Fredsøe, J. (1989). “Turbulent oscillatory boundary layer at high Reynolds numbers.” J. Fluid Mech., 206, 265–297.
Jones, W. P., and Launder, B. E. (1972). “The prediction of laminarization with a two-equation model of turbulence.” Int. J. Heat Mass Transfer, 15, 301–314.
Justesen, P. (1988). “Turbulent wave boundary layers.” Series Paper, No. 43, ISVA, Technical Univ. of Denmark, Lyngby, Denmark.
Komar, P. D. (1976). Beach processes and sedimentation, Prentice-Hall, Englewood Cliffs, N.J.
Kuo, C. T., and Chang, W. J. (1990). “Bottom shear stress and friction factor due to the asymmetric wave motion.” Proc., 22nd Int. Conf. on Coastal Engineering, Delft, The Netherlands, 637–646.
Lambkin, D. O., Collins, M. B., and Paphitis, D. (2004). “Wave period and flow asymmetry effects on the transition to turbulence in relation to sediment dynamics.” J. Geophys. Res., 109, F03009, 1–10.
Larson, M. (1996). “A closed-form solution for turbulent wave boundary layers.” Proc., 25th Int. Conf. Coastal Engineering, Orlando, Fla., 3244–3256.
Lee, S. K., and Cheung, K. F. (1999). “Laminar and turbulent bottom boundary layer induced by nonlinear water waves.” J. Hydraul. Eng., 126(6), 631–644.
Nadaoka, K., Yagi, H., Nihei, Y., and Nomoto, K. (1994). “Characteristics of turbulent structure in asymmetrical oscillatory flow.” Proc., Coastal Eng., 41, 141–145 (in Japanese).
Nadaoka, K., Nihei, Y., Yagi, H., and Nomoto, K. (1996). “Characteristics of turbulent structure in asymmetrical oscillatory flow.” Proc., Coastal Eng., 43, 441–445 (in Japanese).
Nielsen, P. (2002). “Shear stress and sediment transport calculations for swash zone modeling.” Coastal Eng., 45, 53–60.
Nielsen, P., and Callaghan, D. P. (2003). “Shear stress and sediment transport calculations for sheet flow under waves.” Coastal Eng., 47, 347–354.
Nihei, Y., Nadaoka, K., Yagi, H., and Nomoto, K. (2000). “Turbulent structure of asymmetric flow.” Proc., 27th Int. Conf. on Coastal Engineering, Book of abstracts, Vol. 2, Sydney, Australia.
Patel, V. C., Rodi, W., and Scheuerer, G. (1985). “Turbulence models for near-wall and low Reynolds number flows: A review.” AIAA J., 23(9), 1308–1319.
Ribberink, J. S., and Al-Salem, A. A. (1995). “Sheet flow and suspension of sand in oscillatory boundary layers.” Coastal Eng., 25, 205–225.
Sajjadi, S. G., and Waywell, M. N. (1997). “Application of roughness-dependent boundary conditions to turbulent oscillatory flows.” Int. J. Heat Fluid Flow, 18, 368–375.
Sana, A., and Shuy, E. B. (2002). “Two-equation turbulence models for smooth oscillatory boundary layers.” J. Waterw., Port, Coastal, Ocean Eng., 128(1), 38–45.
Sana, A., and Tanaka, H. (1995). “A full-range equation for wave boundary layer thickness.” Adv. Hydrosci. Eng., 2, 1487–1494.
Sana, A., and Tanaka, H. (2000). “A review of kε model to analyze oscillatory boundary layers.” J. Hydraul. Eng., 126(9), 701–710.
Sleath, J. F. A. (1990). “Seabed boundary layers.” The sea, Vol. 9B, B. Le Méhauté and D. M. Hanes, eds., Wiley, New York, 693–727.
Soulsby, R. L., Hamm, L., Klopman, G., Myrhaug, D., Simons, R. R., and Thomas, G. P. (1993). “Wave-current interaction within and outside the bottom boundary layer.” Coastal Eng., 21,41–69.
Tanaka, H., and Sana, A. (1995). “Numerical study on transition to turbulence in a wave boundary layer.” Sediment transport mechanisms in coastal environments and rivers, M. Belorgey, R. D. Rajaona, and J. F. A. Sleath, eds., World Scientific, Singapore, 14–25.
Tanaka, H., Sana, A., Yamaji, H., and Samad, M. A. (1998a). “Experimental and numerical investigation on asymmetric oscillatory boundary layers.” J. Hydrosci. Hydr. Eng., l6(1), 117–126.
Tanaka, H., Sumer, B. M., and Lodahl, C. (1998b). “Theoretical and experimental studies on laminar boundary layer under cnoidal waves.” Coast. Eng. J., 40(1), 1–18.
Tanaka, H., Yamaji, H., Sana, A., and Shuto, N. (1998c). “A generation method of asymmetric oscillatory motion simulating cnoidal waves.” Coastal Eng., 40(3, 291–306.
Thais, L., Chapalain, G., and Samaoui, H. (1999). “Reynolds number variation in oscillatory boundary layers. I: Purely oscillatory motion.” Coastal Eng., 36, 111–146.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 132Issue 10October 2006
Pages: 1086 - 1096

History

Received: Jul 29, 2003
Accepted: Jun 1, 2005
Published online: Oct 1, 2006
Published in print: Oct 2006

Permissions

Request permissions for this article.

Authors

Affiliations

Ahmad Sana, M.ASCE [email protected]
Assistant Professor, Dept. of Civil and Architectural Engineering, Sultan Qaboos Univ., P.O. Box 33, Muscat 123, Sultanate of Oman (corresponding author). E-mail: [email protected]
Hitoshi Tanaka
Professor, Dept. of Civil Engineering, Tohoku Univ., Aoba 06, Sendai 980-8579, Japan.
Hiroto Yamaji
Research Engineer, Dept. of Civil Engineering, Tohoku Univ., Aoba 06, Sendai 980-8579, Japan.
Ikuo Kawamura
Civil Engineer, CTI Engineering Co. Ltd., 2-15-1 Honcho, Sendai 980-0014, Japan.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share