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Generation and characterization of fully developed state in open channel flow

Published online by Cambridge University Press:  19 January 2022

S. Das Open the ORCID record for S. Das [Opens in a new window] ,
R. Balachandar Open the ORCID record for R. Balachandar [Opens in a new window]  and
R.M. Barron Open the ORCID record for R.M. Barron [Opens in a new window]
S. Das
Affiliation:
Department of Civil & Environmental Engineering, University of Windsor, Windsor, ON N9B 3P4, Canada
R. Balachandar
Affiliation:
Department of Civil & Environmental Engineering, University of Windsor, Windsor, ON N9B 3P4, Canada Department of Mechanical, Automotive & Materials Engineering, University of Windsor, Windsor, ON N9B 3P4, Canada
R.M. Barron*
Affiliation:
Department of Mechanical, Automotive & Materials Engineering, University of Windsor, Windsor, ON N9B 3P4, Canada Department of Mathematics & Statistics, University of Windsor, Windsor, ON N9B 3P4, Canada
*
† Email address for correspondence: az3@uwindsor.ca
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Abstract

A fully developed approach flow is necessary in open channel studies to maintain commonality among datasets obtained from different facilities. Two-component planar particle image velocimetry is used to study the characteristics of fully developed smooth open channel flow at a constant Reynolds number of 3.9 × 104 based on the maximum velocity and flow depth. The near-bed boundary layer is tripped to achieve a fully developed state and compared with the under- and over-tripped cases. The Reynolds stresses and higher-order moments are used as indicators to establish the fully developed state. Flow properties are explored by identifying uniform momentum zones (UMZs) using the probability density function of streamwise velocities. The instances are grouped based on the number of UMZs (NUMZ) and conditional averaging of flow variables of each group is used to evaluate the difference in flow properties between the developed and the developing flow. Large-scale ejections are found in the logarithmic layer when NUMZ is higher, whereas a lower number indicates the existence of large-scale sweeping motions. The distribution of the conditionally averaged ratio of the shear contribution from ejections and sweeps and velocity deficits shows a vertical variability in the fully developed state. The large-scale and pointwise quadrant events are used simultaneously to depict variability in inner flow properties between developing and fully developed flow which cannot be recognized in the mean flow characteristics. The sweep events have much higher shear generation in the outer flow in the fully developed state whereas the shear stress contribution from ejection is lower than that in developing flow.

JFM classification

Turbulent Flows: Turbulent boundary layers Waves/Free-surface Flows: Hydraulics Waves/Free-surface Flows: Channel flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 934 , 10 March 2022 , A35
Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

Adrian, R.J., Meinhart, C.D. & Tomkins, C.D. 2000 Vortex organization in the outer region of the turbulent boundary layer. J. Fluid Mech. 422, 1–54.CrossRefGoogle Scholar
Afzal, B., Faruque, M.A. & Balachandar, R. 2009 Effect of Reynolds number, near-wall perturbation and turbulence on smooth open-channel flows. J. Hydraul. Res. 47 (1), 66–81.CrossRefGoogle Scholar
Andreopoulos, J., Durst, F., Zaric, Z. & Jovanovic, J. 1984 Influence of Reynolds number on characteristics of turbulent wall boundary layers. Exp. Fluids 2 (1), 7–16.CrossRefGoogle Scholar
Balachandar, R. & Bhuiyan, F. 2007 Higher-order moments of velocity fluctuations in an open-channel flow with large bottom roughness. J. Hydraul. Engng ASCE 133 (1), 77–87.CrossRefGoogle Scholar
Balachandar, R., Blakely, D., Tachie, M. & Putz, G. 2001 A study on turbulent boundary layers on a smooth flat plate in an open channel. J. Fluids Engng 123 (2), 394–400.CrossRefGoogle Scholar
Balachandar, R. & Patel, V.C. 2005 Velocity measurements in a developed open channel flow in the presence of an upstream perturbation. J. Hydraul. Engng ASCE 43 (3), 258–266.CrossRefGoogle Scholar
Balachandar, R. & Ramachandran, S.S. 1999 Turbulent boundary layers in low Reynolds number shallow open channel flows. J. Fluids Engng 121 (3), 684–689.CrossRefGoogle Scholar
Bonakdari, H., Larrarte, F., Lassabatere, L. & Joannis, C. 2008 Turbulent velocity profile in fully-developed open channel flows. Environ. Fluid Mech. 8 (1), 1–17.CrossRefGoogle Scholar
Cameron, S.M., Nikora, V.I. & Coleman, S.E. 2008 Double-averaged velocity and stress distributions for hydraulically-smooth and transitionally-rough turbulent flows. Acta Geophys. 56 (3), 642–653.CrossRefGoogle Scholar
Cardoso, A.H., Graf, W.H. & Gust, G. 1989 Uniform flow in a smooth open channel. J. Hydraul. Res. 27 (5), 603–616.CrossRefGoogle Scholar
Chauhan, K., Monkewitz, P.A. & Nagib, H.M. 2009 Criteria for assessing experiments in zero pressure gradient boundary layers. Fluid Dyn. Res. 41 (2), 021404.CrossRefGoogle Scholar
Chauhan, K., Nagib, H. & Monkewitz, P. 2007 On the composite logarithmic profile in zero pressure gradient turbulent boundary layers. In 45th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, AIAA Paper 2007–532.Google Scholar
Chauhan, K., Philip, J. & Marusic, I. 2014 a Scaling of the turbulent/non-turbulent interface in boundary layers. J. Fluid Mech. 751, 298–328.CrossRefGoogle Scholar
Chauhan, K., Philip, J., de Silva, C.M., Hutchins, N. & Marusic, I. 2014 b The turbulent/non-turbulent interface and entrainment in a boundary layer. J. Fluid Mech. 742, 119–151.CrossRefGoogle Scholar
Chen, X., Chung, Y.M. & Wan, M. 2020 Uniform-momentum zones in a turbulent pipe flow. J. Fluid Mech. 884, A25.CrossRefGoogle Scholar
Clauser, F.H. 1956 The turbulent boundary layer. Adv. Appl. Mech. 4, 1–51.Google Scholar
Clift, R., Grace, J.R. & Weber, M.E. 1978 Bubbles, Drops, and Particles. Academic Press.Google Scholar
Coleman, H.W. & Steele, W.G. 1995 Engineering application of experimental uncertainty analysis. AIAA J. 33 (10), 1888–1896.CrossRefGoogle Scholar
Coles, D. 1956 The law of the wake in the turbulent boundary layer. J. Fluid Mech. 1 (2), 191–226.CrossRefGoogle Scholar
Duan, Y., Chen, Q., Li, D. & Zhong, Q. 2020 Contributions of very large-scale motions to turbulence statistics in open channel flows. J. Fluid Mech. 892, A3.CrossRefGoogle Scholar
Eisma, J., Westerweel, J., Ooms, G. & Elsinga, G.E. 2015 Interfaces and internal layers in a turbulent boundary layer. Phys. Fluids 27 (5), 055103.CrossRefGoogle Scholar
Erm, L.P. & Joubert, P.N. 1991 Low-Reynolds-number turbulent boundary layers. J. Fluid Mech. 230, 1–44.CrossRefGoogle Scholar
Flack, K.A., Schultz, M.P. & Shapiro, T.A. 2005 Experimental support for Townsend's Reynolds number similarity hypothesis on rough walls. Phys. Fluids 17 (3), 035102.CrossRefGoogle Scholar
Forliti, D.J., Strykowski, P.J. & Debatin, K. 2000 Bias and precision errors of digital particle image velocimetry. Exp. Fluids 28 (5), 436–447.CrossRefGoogle Scholar
Gad-el Hak, M. & Bandyopadhyay, P.R. 1994 Reynolds number effects in wall-bounded turbulent flows. Appl. Mech. Rev. 47 (8), 307–365.CrossRefGoogle Scholar
Granville, P.S. 1976 A modified law of the wake for turbulent shear layers. J. Fluids Engng 98, 578–580.CrossRefGoogle Scholar
Grass, A.J. 1971 Structural features of turbulent flow over smooth and rough boundaries. J. Fluid Mech. 50 (2), 233–255.CrossRefGoogle Scholar
Guo, J., Julien, P.Y. & Meroney, R.N. 2005 Modified log-wake law for zero-pressure gradient turbulent boundary layers. J. Hydraul. Res. 43 (4), 421–430.CrossRefGoogle Scholar
Hearst, R., de Silva, C., Dogan, E. & Ganapathisubramani, B. 2021 Uniform-momentum zones in a turbulent boundary layer subjected to freestream turbulence. J. Fluid Mech. 915, A109.CrossRefGoogle Scholar
Heidari, M., Balachandar, R., Roussinova, V. & Barron, R.M. 2017 Reconsideration of the overlap region in smooth shallow open channel flows. Can. J. Civ. Engng 44 (3), 161–173.CrossRefGoogle Scholar
Heisel, M., De Silva, C., Hutchins, N., Marusic, I. & Guala, M. 2020 On the mixing length eddies and logarithmic mean velocity profile in wall turbulence. J. Fluid Mech. 887, R1.CrossRefGoogle Scholar
Keulegan, G.H. 1938 Laws of Turbulent Flow in Open Channels, vol. 21. National Bureau of Standards US.Google Scholar
Kirkgöz, M.S. & Ardiçlioğlu, M. 1997 Velocity profiles of developing and developed open channel flow. J. Hydraul. Engng ASCE 123 (12), 1099–1105.CrossRefGoogle Scholar
Kironoto, B.A. & Graf, W.H. 1995 Turbulence characteristics in rough non-uniform open-channel flow. Proc. Inst. Civ. Engrs Wat. Marit. Energy 112 (4), 336–348.CrossRefGoogle Scholar
Krogstad, P.A., Antonia, R.A. & Browne, L.W.B. 1992 Comparison between rough- and smooth-wall turbulent boundary layers. J. Fluid Mech. 245, 599–617.CrossRefGoogle Scholar
Laskari, A., de Kat, R., Hearst, R.J. & Ganapathisubramani, B. 2018 Time evolution of uniform momentum zones in a turbulent boundary layer. J. Fluid Mech. 842, 554–590.CrossRefGoogle Scholar
Longmire, E.K. & Eaton, J.K. 1992 Structure of a particle-laden round jet. J. Fluid Mech. 236, 217–257.CrossRefGoogle Scholar
Lu, S.S. & Willmarth, W.W. 1973 Measurements of the structure of the Reynolds stress in a turbulent boundary layer. J. Fluid Mech. 60 (3), 481–511.CrossRefGoogle Scholar
Mahananda, M., Hanmaiahgari, P.R., Ojha, C.S.P. & Balachandar, R. 2019 A new analytical model for dip modified velocity distribution in fully developed turbulent open channel flow. Can. J. Civ. Engng 46 (8), 657–668.CrossRefGoogle Scholar
Marusic, I., Chauhan, K., Kulandaivelu, V. & Hutchins, N. 2015 Evolution of zero-pressure- gradient boundary layers from different tripping conditions. J. Fluid Mech. 783, 379–411.CrossRefGoogle Scholar
Meinhart, C.D. & Adrian, R.J. 1995 On the existence of uniform momentum zones in a turbulent boundary layer. Phys. Fluids 7 (4), 694–696.CrossRefGoogle Scholar
Mignot, E., Hurther, D. & Barthelemy, E. 2011 Double-averaging turbulence characteristics in flows over a gravel bed. J. Hydraul. Res. 49 (5), 703–704.CrossRefGoogle Scholar
Miguntanna, N.S., Moses, H., Sivakumar, M., Yang, S.Q., Enever, K.J. & Riaz, M.Z.B. 2020 Re-examining log law velocity profile in smooth open channel flows. Environ. Fluid Mech. 20, 953–986.CrossRefGoogle Scholar
Monkewitz, P.A., Chauhan, K.A. & Nagib, H.M. 2007 Self-consistent high-Reynolds number asymptotics for zero-pressure-gradient turbulent boundary layers. Phys. Fluids 19 (11), 115101.CrossRefGoogle Scholar
Nakagawa, H. & Nezu, I. 1977 Prediction of the contributions to the Reynolds stress from bursting events in open-channel flows. J. Fluid Mech. 80 (1), 99–128.CrossRefGoogle Scholar
Nasif, G., Balachandar, R. & Barron, R.M. 2020 Supercritical flow characteristics in smooth open channels with different aspect ratios. Phys. Fluids 32 (10), 105102.CrossRefGoogle Scholar
Nezu, I. 2005 Open channel flow turbulence and its research prospect in the 21st century. J. Hydraul. Engng ASCE 131 (4), 229–246.CrossRefGoogle Scholar
Nezu, I. & Rodi, W. 1986 Open channel flow measurements with a laser doppler anemometer. J. Hydraul. Engng ASCE 112 (5), 335–355.CrossRefGoogle Scholar
Nikora, V., Ian, M., Stephen, M., Stephen, C., Dubravka, P. & Roy, W. 2007 Double-averaging concept for rough-bed open-channel and overland flows: theoretical background. J. Hydraul. Engng ASCE 133 (8), 873–883.CrossRefGoogle Scholar
Peruzzi, C., Poggi, D., Ridolfi, L. & Manes, C. 2020 On the scaling of large-scale structures in smooth-bed turbulent open-channel flows. J. Fluid Mech. 889, A1.CrossRefGoogle Scholar
Pizer, S.M., Amburn, E.P., Austin, J.D., Cromartie, R., Geselowitz, A., Greer, T., Ter Haar Romeny, B., Zimmerman, J.B. & Zuiderveld, K. 1987 Adaptive histogram equalization and its variations. Comput. Graph. Image Process. 39 (3), 355–368.CrossRefGoogle Scholar
Pu, J.H., Tait, S., Guo, Y., Huang, Y. & Hanmaiahgari, P. 2018 Dominant features in three-dimensional turbulence structure: comparison of non-uniform accelerating and decelerating flows. Environ. Fluid Mech. 18 (2), 395–416.CrossRefGoogle Scholar
Roussinova, V. 2009 Turbulent structures in smooth and rough open channel flows: effect of depth. PhD thesis, University of Windsor, Canada.Google Scholar
Roussinova, V., Biswas, N. & Balachandar, R. 2008 Revisiting turbulence in smooth uniform open channel flow. J. Hydraul. Res. 46 (sup1), 36–48.CrossRefGoogle Scholar
Sarkar, S. & Dey, S. 2010 Double-averaging turbulence characteristics in flows over a gravel bed. J. Hydraul. Res. 48 (6), 801–809.CrossRefGoogle Scholar
Shavit, U., Lowe, R.J. & Steinbuck, J.V. 2007 Intensity capping: a simple method to improve cross-correlation PIV results. Exp. Fluids 42 (2), 225–240.CrossRefGoogle Scholar
de Silva, C.M., Hutchins, N. & Marusic, I. 2016 Uniform momentum zones in turbulent boundary layers. J. Fluid Mech. 786, 309–331.CrossRefGoogle Scholar
de Silva, C.M., Marusic, I. & Hutchins, N. 2014 Regions of uniform streamwise momentum in turbulent boundary layers. In 19th Australasian Fluid Mechanics Conference, RMIT University, Melbourne, Australia.Google Scholar
de Silva, C.M., Philip, J., Hutchins, N. & Marusic, I. 2017 Interfaces of uniform momentum zones in turbulent boundary layers. J. Fluid Mech. 820, 451–478.CrossRefGoogle Scholar
Simpson, R.L., Chew, Y.T. & Shivaprasad, B.G. 1981 The structure of a separating turbulent boundary layer. Part 2. Higher-order turbulence results. J. Fluid Mech. 113, 53–73.CrossRefGoogle Scholar
Singha, A. 2009 Shallow wake in open channel flow – a look into the vertical variability. PhD thesis, University of Windsor, Canada.Google Scholar
Song, T. & Chiew, Y.M. 2001 Turbulence measurement in nonuniform open-channel flow using acoustic doppler velocimeter (ADV). J. Engng Mech. ASCE 127 (3), 219–232.CrossRefGoogle Scholar
Spalart, P.R. 1988 Direct simulation of a turbulent boundary layer up to $R{e_\theta } = 1410$. J. Fluid Mech. 187, 61–98.CrossRefGoogle Scholar
Steffler, P.M., Rajaratnam, N. & Peterson, A.W. 1985 LDA measurements in open channel. J. Hydraul. Engng ASCE 111 (1), 119–130.CrossRefGoogle Scholar
Tachie, M.F., Balachandar, R. & Bergstrom, D.J. 2003 Low Reynolds number effects in open-channel turbulent boundary layers. Exp. Fluids 34 (5), 616–624.CrossRefGoogle Scholar
Thielicke, W. & Stamhuis, E. 2014 PIVlab – towards user-friendly, affordable and accurate digital particle image velocimetry in MATLAB. J. Open Res. Softw. 2 (1), p. e30.CrossRefGoogle Scholar
Wiener, N. 1964 Extrapolation, Interpolation, and Smoothing of Stationary Time Series: With Engineering Applications. MIT Press, Cambridge, Massachusetts.Google Scholar
Yang, S.Q., Tan, S.K. & Lim, S.Y. 2004 Velocity distribution and dip-phenomenon in smooth uniform open channel flows. J. Hydraul. Engng ASCE 130 (12), 1179–1186.CrossRefGoogle Scholar