Abstract
In this paper, we investigate the applicability of the predictive wall shear-stress model, recently developed by Mathis et al. J. Fluid Mech. 715, 163–180, 2013, [17], to environmental flows where near-wall information is typically inaccessible. This wall-model, which embeds the scale interaction mechanisms of superposition and modulation, is able to reconstruct the instantaneous wall (bed) shear-stress fluctuations in turbulent boundary layers. The database considered here comes from field measurements using acoustic Doppler velocimeters carried out in a shallow tidal channel (Suisun Slough in North San Francisco Bay). The model is first applied to a selected subset of data sharing common properties with the canonical turbulent boundary layer. Statistics and energy content of these predictions are found to be consistent with laboratory predictions and DNS results. The model is then used on the whole dataset, whose some of them having properties far from the canonical case. Even for these situations, the model is able to preserve the overall Reynolds trend. This study shows the great capability of the model for environmental applications, which is the only one able to predict both the correct energetic content and probability density function.
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References
J.C. del Álamo, J. Jiménez, Spectra of the very large anisotropic scales in turbulent channels. Phys. Fluids 15(6), L41–L44 (2003). doi:10.1063/1.1570830
P.R. Bandyopadhyay, A.K.M.F. Hussain, The coupling between scales in shear flows. Phys. Fluids 27(9), 2221–2228 (1984)
O. Cabrit, R. Mathis, I. Marusic, Towards a statistically accurate wall-model for large-eddy simulation, in ed. by P. Brandner, B. Pearce 18th Australasian Fluid Mechanics Conference (Australasian Fluid Mechanics Society, Launceston, Australia, 2012)
D.B. DeGraaff, J.K. Eaton, Reynolds number scaling of the flat-plate turbulent boundary layer. J. Fluid Mech. 422, 319–346 (2000)
D. Dennis, T. Nickels, Experimental measurement of large-scale three-dimensional structures in a turbulent boundary layer. Part 2. Long structures. J. Fluid Mech. 673, 218–244 (2011)
W.D. Grant, O.S. Madsen, The continental-shelf bottom boundary layer. Annu. Rev. Fluid Mech. 18, 265–305 (1986)
N. Hutchins, I. Marusic, Evidence of very long meandering features in the logarithmic region of turbulent boundary layers. J. Fluid Mech. 579, 1–28 (2007). doi:10.1017/S0022112006003946
N. Hutchins, I. Marusic, Large-scale influences in near-wall turbulence. Philos. Trans. R. Soc. Lond. A 365, 647–664 (2007). doi:10.1098/rsta.2006.1942
N. Hutchins, T. Nickels, I. Marusic, M.S. Chong, Spatial resolution issues in hot-wire anemometry. J. Fluid Mech. 635, 103–136 (2009). doi:10.1017/S0022112009007721
N.L. Jones, J.K. Thompson, K.R. Arrigo, S.T. Monismith, Hydrodynamic control of phytoplankton loss to the benthos in an estuarine environment. Limnol. Oceanogr. 54(3), 952–969 (2009)
K.C. Kim, R.J. Adrian, Very large-scale motion in the outer layer. Phys. Fluids 11, 417–422 (1999)
I. Marusic, R. Mathis, N. Hutchins, Predictive model for wall-bounded turbulent flow. Science 329(5988), 193–196 (2010). doi:10.1126/science.1188765
I. Marusic, J.P. Monty, M. Hultmark, A.J. Smits, On the logarithmic region in wall turbulence. J. Fluid Mech. 716, R3 (2013)
R. Mathis, N. Hutchins, I. Marusic, Large-scale amplitude modulation of the small-scale structures in turbulent boundary layers. J. Fluid Mech. 628, 311–337 (2009). doi:10.1017/S0022112009006946
R. Mathis, N. Hutchins, I. Marusic, A predictive inner-outer model for streamwise turbulence statistics in wall-bounded flows. J. Fluid Mech. 681, 537–566 (2011). doi:10.1017/jfm.2011.216
R. Mathis, I. Marusic, O. Cabrit, N.L. Jones, G.N. Ivey, Modeling bed shear-stress fluctuations in a shallow tidal channel. J. Geophys. Res. Oceans 119 (2014).doi:10.1002/2013JC009718
R. Mathis, I. Marusic, S.I. Chernyshenko, N. Hutchins, Estimating wall-shear-stress fluctuations given an outer region input. J. Fluid Mech. 715, 163–180 (2013). doi:10.1017/jfm.2012.508
P.A. Monkewitz, K.A. Chauhan, H.M. Nagib, Self-consistent high-Reynolds-number asymptotics for zero-pressure-gradient turbulent boundary layers. Phys. Fluids 19, 115101 (2007). doi:10.1063/1.2780196
R. Örlü, P. Schlatter, On the fluctuating wall-shear stress in zero-pressure-gradient turbulent boundary layers. Phys. Fluids 23(1–4), 021704 (2011)
P. Rowiński, J. Aberle, A. Mazurczyk, Shear velocity estimation in hydraulic research. Acta Geophys. Pol. 53(4), 567–583 (2005)
H. Schlichting, K. Gersten, Boundary Layer Theory, eighth revised and enlarged edition edn. (Springer, 2000)
Acknowledgments
The Australian Research Council and the University of Melbourne McKenzie Fellowship program are gratefully acknowledged for their support. The field work was supported by the CALFED Bay Delta Authority Restoration Program (ERP02P22) and The Foundation for Young Australians Centenary Scholarship Award. Thanks to F. Parchaso and B. Richards from the U.S. Geological Survey for assistance with the field experiment.
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Mathis, R., Marusic, I., Cabrit, O., Jones, N.L., Ivey, G.N. (2016). Reconstruction of Wall Shear-Stress Fluctuations in a Shallow Tidal River. In: Stanislas, M., Jimenez, J., Marusic, I. (eds) Progress in Wall Turbulence 2. ERCOFTAC Series, vol 23. Springer, Cham. https://doi.org/10.1007/978-3-319-20388-1_22
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DOI: https://doi.org/10.1007/978-3-319-20388-1_22
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