Laboratory Measurements on Turbulent Pressure Fluctuations in and above Gravel Beds
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Volume 136, Issue 10
Abstract
The statistics of pressure fluctuations above and within three types of porous granular beds such as in gravel bed streams, rivers, and man-made canals are investigated by data gained via laboratory flume experiments. The flow conditions examined include a diversity of hydrodynamic loads that increase up to the point where single grains are moving from time to time, without causing severe modification to the bed texture and the related positions of the pressure sensors. Analysis is performed by means of histograms and spectral techniques and vertical intensity profiles. Two simplified equations are found that describe the vertical decrease for the standard deviation of the measured fluctuations indicating drag and lift, respectively, nondimensionalized by the mean bed shear stress. The former fluctuation is described by a crude linear fit, whereas the latter clearly shows that the lift intensity decreases exponentially in the porous bed with a decay distance of one to two times the equivalent grain roughness. Within the subsurface layer the standard deviation reaches a nonzero constant, mainly dominated by long-wave pressure fields that are convected in the outer flow. These findings can be used in future sediment transport models that use force balance approaches to determine incipient motion conditions.
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Acknowledgments
The support by the “Baden-Württemberg Research Program Securing a Sustainable Living Environment” (BWPLUS) (Grant No. UNSPECIFIEDBWR 25003) with funds of the State of Baden-Württemberg is gratefully acknowledged.
References
Aberle, J., and Nikora, V. (2006). “Statistical properties of armored gravel bed surfaces.” Water Resour. Res., 42, W11414.
Bakker, K. J., Verheij, H. J., and de Groot, M. B. (1994). “Design relationship for filters in bed protection.” J. Hydraul. Eng., 120(9), 1082–1088.
Blake, W. K. (1970). “Turbulent boundary-layer wall-pressure fluctuations on smooth and rough walls.” J. Fluid Mech., 44(4), 637–660.
Breugem, W. P., Boersma, B. J., and Uittenbogaard, R. E. (2006). “The influence of wall permeability on turbulent channel flow.” J. Fluid Mech., 562, 35–72.
Carman, P. C. (1956). Flow of gases through porous media, Butterworth Scientific, London.
Chang, P. A., Piomelli, U., and Blake, W. K. (1999). “Relationship between wall pressures and velocity-field sources.” Phys. Fluids A, 11(11), 3434–3448.
Detert, M. (2008). “Hydrodynamic processes at the water-sediment interface of streambeds.” Ph.D. thesis, Univ. of Karlsruhe, Karlsruhe, Germany, ⟨http://digbib.ubka.uni-karlsruhe.de/volltexte/1000008267⟩.
Eckelmann, H. (1988). “A review of knowledge on pressure fluctuations.” Near Wall Turbulence, Zoran Zaric Memorial Conf., Proc., Int. Centre of Heat and Mass Transfer, S. J. Kline and N. H. Afgan, eds., Vol. 28, Hemisphere Publishing Corp., Dubrovnik, Croatia, 328–347.
Emmerling, R. (1973). “Die momentane Struktur des Wanddruckes einer turbulenten Grenzschichtströmumg.” Mitteilungen aus dem Max-Planck-Institut für Strömungsforschung und der Aerodynamischen Versuchsanstalt, Vol. 56, E. -A. Müller and H. Schlichting, eds., Deutsche Forschungs-und Versuchsanstalt für Luft-und Raumfahrt e.V., Göttingen, Germany.
Farabee, T. G., and Casarella, M. J. (1991). “Spectral features of wall pressure fluctuations beneath turbulent boundary layers.” Phys. Fluids A, 3(10), 2410–2420.
Gotoh, T., and Rogallo, R. S. (1999). “Intermittency and scaling of pressure at small scales in forced isotropic turbulence.” J. Fluid Mech., 396, 257–285.
Hans, V., and Windorfer, H. (2003). “Comparison of pressure and ultrasound measurements in vortex flow meters.” Measurement, 33, 121–133.
Hazen, A. (1892). “Some physical properties of sands and gravels, with reference to use in filtration.” 24th Annual Rep., Massachusetts State Board of Health, Vol. 34, 539–556.
Hofland, B. (2005). “Rock and roll.” Ph.D. thesis, TU Delft, Delft, The Netherlands, ⟨www.library.tudelft.nl⟩.
Hofland, B., and Battjes, J. A. (2006). “Probability density function of instantaneous drag forces and shear stresses on a bed.” J. Hydraul. Eng., 132(11), 1169–1175.
Hofland, B., Booij, R., and Battjes, J. A. (2005). “Measurement of fluctuating pressures on coarse bed material.” J. Hydraul. Eng., 131(9), 770–781.
Hurther, D., Lemmin, U., and Terray, E. A. (2007). “Turbulent transport in the outer region of rough-wall open-channel flows.” J. Fluid Mech., 574(9), 465–493.
Kim, J. (1989). “On the structure of pressure fluctuations in simulated turbulent channel flow.” J. Fluid Mech., 205, 421–451.
Klewicki, J. C., Priyadarshana, P. J. A., and Metzger, M. M. (2008). “Statistical structure of the fluctuating wall pressure and its in-plane gradients at high Reynolds number.” J. Fluid Mech., 609, 195–220.
Lee, I., and Sung, H. J. (2002). “Multiple-arrayed pressure measurement for investigation of the unsteady flow structure of a reattaching shear layer.” J. Fluid Mech., 463, 377–402.
Meyer-Peter, E., and Müller, R. (1949). “Eine Formel zur Berechnung des Geschiebetriebs.” Schweizer Bauzeitung, 67(3), 29–32.
Monin, A. S., and Yaglom, A. M. (1971). Statistical fluid mechanics, Vol. 2, MIT Press, Cambridge.
Papanicolaou, A. N., Diplas, P., Evaggelopoulos, N., and Fotopoulos, S. (2002). “Stochastic incipient motion criterion for spheres under various bed packing conditions.” J. Hydraul. Eng., 128(4), 369–380.
Roy, A. G., Buffin-Bélanger, T., Lamarre, H., and Kirkbride, A. D. (2004). “Size, shape and dynamics of large scale turbulent flow structures in a gravel bed river.” J. Fluid Mech., 500, 1–27.
Schewe, G. (1983). “On the structure and resolution of wall-pressure fluctuations associated with turbulent boundary-layer flow.” J. Fluid Mech., 134, 311–328.
Schmeeckle, M. W., Nelson, J. M., and Shreve, R. L. (2007). “Forces on stationary particles in near-bed turbulent flows.” J. Geophys. Res., 112, F02003.
Smart, G. M., and Habersack, H. M. (2007). “Pressure fluctuations and gravel entrainment in rivers.” J. Hydraul. Res., 45(5), 661–673.
Song, T., and Graf, W. H. (1994). “Non-uniform open-channel flow over a rough bed.” Journal of Hydroscience and Hydraulic Engineering, Tokyo, 12(1), 1–25.
Tsuji, Y., Fransson, J. H. M., Alfredsson, P. H., and Johansson, A. V. (2007). “Pressure statistics and their scaling in high-Reynolds-number turbulent layers.” J. Fluid Mech., 585, 1–40.
Vollmer, S., de los Santos Ramos, F., Daebel, H., and Kühn, G. (2002). “Micro scale exchange processes between surface and subsurface water.” J. Hydrol., 269, 3–10.
Yu, F., Gupta, N., and Hoy, Y. (2005). “Non-intrusive pressure measurements based on ultrasonic waves.” Insight, 47(5), 285–288.
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Published In
Journal of Hydraulic Engineering
Volume 136 • Issue 10 • October 2010
Pages: 779 - 789
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© 2010 ASCE.
History
Received: Apr 16, 2009
Accepted: Apr 2, 2010
Published online: Apr 15, 2010
Published in print: Oct 2010
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