TECHNICAL NOTES
Jan 1, 2009

Modeling of a Rough-Wall Oscillatory Boundary Layer Using Two-Equation Turbulence Models

Publication: Journal of Hydraulic Engineering
Volume 135, Issue 1

Abstract

The standard kω turbulence model and two versions of blended kωkε models have been used to study the characteristics of a one-dimensional oscillatory boundary layer on a rough surface. The wall boundary condition for the specific dissipation rate of turbulent kinetic energy at the wall is specified in terms of a function based on wall roughness. A detailed comparison has been made for mean velocity, turbulent kinetic energy, Reynolds stress, and wall shear stress with the available experimental data. The three models predict the above properties reasonably well. In particular, the prediction of turbulent kinetic energy for the rough case by the blended models is much better than that for smooth oscillatory boundary layers as reported in previous studies. As a result of the present study, the use of one of the blended models in calculating the sediment transport in coastal environments may be recommended.

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 leave from Sultan Qaboos University, Oman to work at the University of Engineering and Technology, Taxila, Pakistan as a Visiting Professor in 2004 under the Higher Education Commission of Pakistan’s Expatriate Faculty Hiring Program and then in 2007 as a Visiting Researcher under the Japan Society for the Promotion of Science’s Invitation Fellowship Program at Tohoku University, Japan. The first writer is grateful to all the above organizations for their support.

References

Aydin, I., and Shuto, N. (1988). “An application of the k-ε model to oscillatory boundary layers.” Coastal Eng. J., 30(2), 11–24.
Foti, E., and Scandura, P. (2004). “A low Reynold's k-ε model validated for oscillatory flows over smooth and rough wall.” Coastal Eng., 51, 173–184.
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 Fredsoe, J. (1989). “Turbulent oscillatory boundary layers at high Reynolds numbers.” J. Fluid Mech., 206, 265–297.
Jonsson, I. G., and Carlsen, N. A. (1976). “Experimental and theoretical investigators in an oscillatory turbulent boundary layer.” J. Hydraul. Res., 14(1), 45–60.
Justesen, P. (1988). “Turbulent wave boundary layers.” Series Paper No. 43 I, ISVA, Technical Univ. of Denmark, Lyngby, Denmark.
Justesen, P. (1991). “A note on turbulence calculations in the wave boundary layer.” J. Hydraul. Res., 29(5), 699–711.
Justesen, P., and Spalart, P. R. (1990). “Two equation turbulence modeling of oscillatory boundary layers.” AIAA paper No. 90–0496.
Kajiura, K. (1968). “A model of the bottom boundary layer in water waves.” Bull. Earthquake Res. Inst., 46, 75–123.
Mendoza, C., and Shen, H. W. (1990). “Investigation of turbulent flow over dunes.” J. Hydraul. Eng., 116(4), 459–477.
Menter, F. R. (1994). “Two-equation eddy-viscosity turbulence models for engineering applications.” AIAA J., 32(8), 1598–1605.
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.
Puleo, J. A., Mouraenko, O., and Hanes, D. M. (2004). “One-dimensional wave bottom boundary layer model comparison: Specific eddy viscosity and turbulence closure models.” J. Waterway, Port, Coastal, Ocean Eng., 130(6), 322–325.
Rodi, W. (1984). Turbulence models and their application in hydraulics—A state of the art review, IAHR, The Netherlands.
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. Waterway, Port, Coastal, Ocean Eng., 128, 38–45.
Sana, A., and Tanaka, H. (2000). “Review of kε model to analyze oscillatory boundary layers.” J. Hydraul. Eng., 126(9), 701–710.
Sheng, Y. P. (1982). “Hydraulic applications of a second-order closure model of turbulent transport.” Applying research to hydraulic practice, P. E. Smith, ed., ASCE, 106–119.
Tanaka, H., and Sana, A. (1994). “Numerical study on transition to turbulence in a wave boundary layer.” Sediment transport mechanism in coastal environments and rivers, World Scientific Pub, Singapore, 14–25.
Wilcox, D. C. (1988). “Reassessment of the scale-determining equation for advanced turbulence models.” AIAA J., 26(11), 1299–1310.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 135Issue 1January 2009
Pages: 60 - 65

History

Received: Jun 22, 2007
Accepted: May 5, 2008
Published online: Jan 1, 2009
Published in print: Jan 2009

Permissions

Request permissions for this article.

Authors

Affiliations

Assistant Professor, Dept. of Civil and Architectural Engineering, Sultan Qaboos Univ., P.O. Box 33, Al-Khod, Muscat 123, Sultanate of Oman (corresponding author). E-mail: [email protected]
Abdul-Razzaq Ghumman
Professor, Dept. of Civil Engineering, Univ. of Engineering and Technology, Taxila, Pakistan.
Hitoshi Tanaka
Professor, Dept. of Civil Engineering, Tohoku Univ., Sendai, 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