Technical Papers
Apr 30, 2018

Quadrant Analysis of Turbulence in a Rectangular Cavity with Large Aspect Ratios

Publication: Journal of Hydraulic Engineering
Volume 144, Issue 7

Abstract

By using particle image velocimetry techniques, this paper presents new insights on the turbulence structure and time-averaged flows in a rectangular cavity with large aspect ratios. The three cavity aspect ratios (L/D, where L = cavity length, D = cavity depth) used in this study are 9.9, 13.0, and 18.9. The time-averaged velocity fields and Reynolds shear stress distributions within the cavity show that the flow pattern and turbulence structures are strongly affected by the cavity aspect ratio. The quadrant dynamic analysis of velocity fluctuations on the cavity shear layers and cavity downstream edge for the three cavities is conducted. Considering all of the bursting events with hole size parameter, H=0 in the measured planes, sweeps are found to have the highest probability of occurrence within the zone of the shear layer, and ejections dominate almost all of the areas within the cavity and a certain depth of flow immediately above the shear layer. For the high-magnitude events (H=1), quadrant dominances are almost inverted for all of the measured planes. The quadrant shear stress distributions show that the opposing events are approximately balanced for these regions on the cavity shear layers and along the cavity downstream edge.

Get full access to this article

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

Acknowledgments

The authors sincerely thank Dr. S. C. Hsieh for his significant contributions to the development of the PIV data processing algorithm. The NTU Research Scholarship provided by Nanyang Technological University to the second author is gratefully acknowledged. This research was supported by the Young Scientists Fund of the National Natural Science Foundation of China (51709082).

References

Agarwal, P. 2017. “Particle entrainment from a rectangular cavity in turbulent open-channel flows.” Ph.D. thesis, Nanyang Technological Univ.
Amador, A., M. Sánchez-Juny, and J. Dolz. 2006. “Characterization of the nonaerated flow region in a stepped spillway by PIV.” J. Fluids Eng. 128 (6): 1266–1273. https://doi.org/10.1115/1.2354529.
Ashcroft, G., and X. Zhang. 2005. “Vortical structures over rectangular cavities at low speed.” Phys. Fluids. 17 (1): 015104. https://doi.org/10.1063/1.1833412.
Botella, O., and R. Peyret. 1998. “Benchmark spectral results on the lid-driven cavity flow.” Comput. Fluids. 27 (4): 421–433. https://doi.org/10.1016/S0045-7930(98)00002-4.
Buffin-Bélanger, T., and A. G. Roy. 1998. “Effects of a pebble cluster on the turbulent structure of a depth-limited flow in a gravel-bed river.” Geomorphology. 25 (3–4): 249–267. https://doi.org/10.1016/S0169-555X(98)00062-2.
Chang, K., G. Constantinescu, and O. P. Seung. 2007. “Purging of a neutrally buoyant or a dense miscible contaminant from a rectangular cavity. II: Case of an incoming fully turbulent overflow.” J. Hydraul. Eng. 133 (4), 373–385. https://doi.org/10.1061/(ASCE)0733-9429(2007)133:4(373).
Dwivedi, A., B. Melville, and A. Y. Shamseldin. 2010. “Hydrodynamic forces generated on a spherical sediment particle during entrainment.” J. Hydraul. Eng. 136 (10), 756–769. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000247.
Erturk, E., T. C. Corke, and C. Gökçöl. 2005. “Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers.” Int. J. Numer. Methods Fluids. 48 (7): 747–774. https://doi.org/10.1002/fld.953.
Hsieh, S. C. 2008. “Establishment of high time-resolved PIV system with application to the characteristics of a near wake flow behind a circular cylinder.” Ph.D. thesis, National Chung Hsing Univ.
Hsieh, S. C., Y. M. Low, and Y. M. Chiew. 2016. “Flow characteristics around a circular cylinder subjected to vortex-induced vibration near a plane boundary.” J. Fluids Struct. 65: 257–277. https://doi.org/10.1016/j.jfluidstructs.2016.06.
Immer, M., J. Allegrini, and J. Carmeliet. 2016. “Time-resolved and time-averaged stereo-PIV measurements of a unit-ratio cavity.” Exp. Fluids. 57 (6): 101. https://doi.org/10.1007/s00348-016-2186-9.
Lai, J., S. Tsung, Y. M. Chiew, and F. Lee. 2010. “Gap scour at a stepped concrete block grade control structure.” In Scour and Erosion 2010 (ICSE-5), 619–628. San Francisco: ASCE.
Nezu, L., and H. Nakagawa. 1993. Turbulence in open-channel flows. Rotterdam, Netherland: A.A. Balkema.
Nolan, K. P., E. J. Walsh, and D. M. McEligot. 2010. “Quadrant analysis of a transitional boundary layer subject to free-stream turbulence.” J. Fluid Mech. 658: 310–335. https://doi.org/10.1017/S0022112010001758.
Ozalp, C., A. Pinarbasi, and B. Sahin. 2010. “Experimental measurement of flow past cavities of different shapes.” Exp. Thermal Fluid Sci. 34 (5): 505–515. https://doi.org/10.1016/j.expthermflusci.2009.11.003.
Plentovich, E. B., R. L. J. Stallings, and M. B. Tracy. 1993. Experimental cavity pressure measurements at subsonic and transonic speeds static-pressure results., Hampton, VA: NASA Langley Research Center.
Pope, S. B. 2000. Turbulent flows. Cambridge, UK: Cambridge University Press.
Ren, H., and Y. Wu. 2011. “Turbulent boundary layers over smooth and rough forward-facing steps.” Phys. Fluids. 23 (4): 045102. https://doi.org/10.1063/1.3576911.
Rowley, C. W., and D. R. Williams. 2006. “Dynamics and control of high-Reynolds-number flow over open cavities.” Ann. Rev. Fluid Mech. 38 (1): 251–276. https://doi.org/10.1146/annurev.fluid.38.050304.092057.
Spazzini, P. G., G. Iuso, M. Onorato, N. Zurlo, and G. M. Di Cicca. 2001. “Unsteady behavior of back-facing step flow.” Exp. Fluids. 30 (5): 551–561. https://doi.org/10.1007/s003480000234.
Ukeiley, L., and N. Murray. 2005. “Velocity and surface pressure measurements in an open cavity.” Exp. Fluids. 38 (5): 656–671. https://doi.org/10.1007/s00348-005-0948-x.
Wallace, J. M. 2016. “Quadrant analysis in turbulence research: History and evolution.” Ann. Rev. Fluid Mech. 48 (1): 131–158. https://doi.org/10.1146/annurev-fluid-122414-034550.
Wallace, J. M., H. Eckelmann, and R. S. Brodkey. 1972. “The wall region in turbulent shear flow.” J. Fluid Mech. 54 (1): 39–48. https://doi.org/10.1017/S0022112072000515.
Willmarth, W. W., and S. S. Lu. 1972. “Structure of the Reynolds stress near the wall.” J. Fluid Mech. 55 (1): 65–92. https://doi.org/10.1017/S002211207200165X.
Zdanski, P. S. B., M. A. Ortega, and N. G. C. R. Fico, Jr. 2006. “On the flow over cavities of large aspect ratio: A physical analysis.” Int. Commun. Heat Mass Transfer. 33 (4): 458–466. https://doi.org/10.1016/j.icheatmasstransfer.2006.01.007.
Zhang, G., and C. Hubert. 2016. “Gabion stepped spillway: Interactions between free-surface, cavity, and seepage flows.” J. Hydraul. Eng. 142 (5): 06016002. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001120.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 144Issue 7July 2018

History

Received: Jun 24, 2017
Accepted: Jan 4, 2018
Published online: Apr 30, 2018
Published in print: Jul 1, 2018
Discussion open until: Sep 30, 2018

Permissions

Request permissions for this article.

Authors

Affiliations

Lecturer, Key Laboratory of Coastal Disaster and Defense, Hohai Univ., Ministry of Education, Nanjing 210098, China; Research Fellow, School of Civil and Environmental Engineering, Nanyang Technological Univ., 639798 Singapore. Email: [email protected]
Prakash Agarwal [email protected]
Graduate Student, School of Civil and Environmental Engineering, Nanyang Technological Univ., 639798 Singapore. Email: [email protected]
Yee-Meng Chiew, M.ASCE [email protected]
Professor, School of Civil and Environmental Engineering, Nanyang Technological Univ., 639798 Singapore (corresponding author). Email: [email protected]

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