Detection of Coherent Structures in Non-smooth Open Channel Flow (Comment on Quadrant Analysis)

Document Type : Research Article

Authors

1 Assistant Professor, Department of Civil Engineering, Faculty of Engineering, Azad Univ., Science and Research Branch, Tehran, Iran

2 Ph.D. Student, Department of Civil and Environmental Engineering, Tarbiat Modares University, Tehran, Iran

Abstract

Coherent structures in wall turbulence boundary layer transport momentum and provide a means of producing turbulent kinetic energy. In fully developed flow and above viscous sub-layer, different coherent structures such as ejection and sweep and hairpin vortex can be formed which can be detected by various detection methods such as quadrant analysis and analysis of instantaneous velocity values. In the present study, we aim to explore the accuracy and efficiency of these methods in non-smooth bed free surface flows. To this end, laboratory measurements of flow field above a gravel bed were carried out using particle image velocimetry. Despite the fact that the results of both techniques above roughness elements are in agreement, it was not possible to see any coherency between the results of these techniques just between roughness elements. Such incoherency can be resulted by non-zero mean vertical velocity and three-dimensional nature of flow in non-smooth bed condition which makes application of quadrant analysis in this type of flow challenging. Therefore, using analysis of instantaneous velocity values or modified quadrant analysis can be suggested for correct estimation of sweep and ejection.

Keywords


مهاجری، س. ح. (1393). "مطالعه‌ای بر روش‌های تعیین زبری یک بستر شنی". نشریه هیدرولیک. دوره 9، شماره 4، ص.ص. 73-86.
مهرآئین، م.؛ نوربخش، م. و قدسیان، م. (1394). "بررسی میدان جریان آشفته اطراف آبشکن T شکل مستغرق". نشریه هیدرولیک. دوره 15، شماره 3، ص.ص. 178-171.
Adrian, R., Christensen, K. and Liu, Z. (2000). “Analysis and interpretation of instantaneous turbulent velocity fields”. Experiments in Fluids. 29, pp. 275–290.
Adrian, R. and Marausic, I. (2012). “Coherent structures in flow over hydraulic engineering surfaces”. Journal of Hydraulic Research. 50 (5), pp. 451–464.
Adrian, R. and Liu, Z. (2002). “Observation of vortex packets in direct numerical simulation of fully turbulent channel flow”. Journal of Vision 5(1), pp. 9-19.
Bogard, D. G. and Tiederman, W. (1986). “Burst detection with single-point velocity measurements”. Journal of Fluid Mechanics. 162, pp. 389-413.
Bomminayuni, S. and Stoesser, T. (2011). “Turbulence statistics in an open-channel flow over a rough bed”. Journal of Hydraulic Enginnering. 137(11), pp. 1347-1358.
Buffin-Bélanger, T., Rice, S., Reid, I. and Lancaster, J. (2006). “Spatial heterogeneity of near-bed hydraulics above a patch of river gravel”. Water Resources Research. 42(4), W04413.
Cantwell, B. J. (1981). “Organized motion in turbulent flow”. Annual Review of Fluid Mechanics. 13(1), pp. 457-515.
Cooper, J. and Tait, S. (2010). “Spatially representative velocity measurement over water-worked gravel bed”. Water Resources Research. 46(11), W11559.
Detert, M., Nikora, V. and Jirka, G. (2010). “Synoptic velocity and pressure fields at the water–sediment interface of streambeds”. Journal of Fluid Mechanics. 660, pp. 55-86.
Di Florio, D., Di Felice, F. and Romano, G. P. (2002). “Windowing, re-shaping and re-orientation interrogation windows in particle image velocimetry for the investigation of shear flows”. Measurement Science and Technology, 13, pp. 953-962.
Duràn, A., Flores, O. and Jiménez, J. (2012). “The three-dimensional structure of momentum transfer in turbulent channels”. Journal of Fluid Mechanics. 694, pp. 100–130.
Hardy. R., Best, J. L. S. and Carbonneau, P. (2009). “Coherent flow structures in a depth-limited flow over a gravel surface: The role of near-bed turbulence and influence of Reynolds number”. Journal of Geophysical Research: Earth Surface. 114(F1), F01003.
Hussain, F. (1983). “Coherent structures- reality and myth”. Journal of Physics of Fluids. 26(10), pp. 2816-2850.
Hutchins, N. and Marusic, I. (2007). “Evidence of very long meandering streamwise structures in the logarithmic region of turbulent boundary layers”. Journal of Fluid Mechanics. 579, pp. 1–28.
Lu, S. and Willmarth, W. (1973). “Measurements of the structure of the Reynolds stress in a turbulent boundary layer”. Journal of Fluid Mechanics. 60 (3), pp. 481-511.
Mignot, E., Hurther, D. and Barthelemy, E. (2009). “On the structure of shear stress and turbulent kinetic energy flux across the roughness layer of a gravel-bed channel flow”. Journal of Fluid Mechanics. 638, pp. 423–452.
Mohajeri, S. H. (2014). “Hydrodynamics of gravel bed flows (Implications in colmation)”. PhD Thesis, Department of Civil, Mechanics and Environmental Engineering, University of Trento and School of Geography, Queen Mary University of London. 
Mohajeri, S. H., Grizzi, S., Righetti, M., Romano, G. P. and Nikora, V. (2015). “The structure of gravel-bed flow with intermediate submergence: A laboratory study”. Journal of Water Resources Research, 51 (11), pp. 9232–9255.
Monin, A. and Yaglom, A. (1971). “Statistical Fluid Mechanics - Vol. 1: Mechanics of Turbulence”. The MIT Press.
Nezu, I. and Nakagawa, H. (1993). “Turbulence in Open-Channel Flows”. A.A. Balkema.
Nikora, V., Goring, D. and Biggs, B. (1998). “Silverstream eco-hydraulics flume: hydraulic design and tests”. New Zealand Journal of Marine and Freshwater Research. 32, pp. 607-620.
Pope, S. (2000). “Turbulent Flows”. Cambridge University Press.
Prasad, A., Adrian, R., Landreth, C. and Offutt, P. (1992). “Effect of resolution on the speed and accuracy of particle image velocimetry interrogation”. Experiments in Fluids. 13, pp. 105-116.
Raupach, M. (1981). “Conditional statistics of Reynolds stress in rough-wall and smooth-wall turbulent boundary layers”. Journal of Fluid Mechanics. 108, pp. 363-382.
Theodorsen, T. (1952). “Mechanism of turbulence”. Proceeding of 2nd Midwest. Conf. Fluid Mechanics, Ohio State University, Columbus.
Townsend, A. (1976). “The Structure of turbulent shear flow”. 2nd edition. Cambridge University Press, Cambridge.
Willmarth ,W. and Lu, S. (1972). “Structure of the Reynolds stress near the wall”. Journal of Fluid Mechanics. 55(01), pp. 65-92.