A base for the log law and von Karman’s constant problem

References

• Andreas, E. L., Claey, K. J., Jordan, R. E., Fairall, C. W., Guest, P. S., Persson, P. O. G., & Grachev, A. A. (2006). Evaluations of the von Kármán constant in the atmospheric surface layer. Journal of Fluid Mechanics, 559, 117–149. doi:10.1017/S0022112006000164
   Web of Science ®Google Scholar
• Andreas, E. L., & Trevino, G. (2000). Comments on “a physical interpretation of von kármán’s constant based on asymptotic considerations—A new value”. Journal of the Atmospheric Sciences, 57(8), 1189–1192.
   Web of Science ®Google Scholar
• Baumert, H. Z. (2009). Primitive turbulence: kinetics, Prandtl’s mixing length, and von Karman’s constant. arXiv.org 0907.0223v2 [physics.flu-dyn] [Online].
   Google Scholar
• Bergmann, J. C. (1998). A physical interpretation of von Kármán’s constant based on asymptotic considerations—A new value. Journal of the Atmospheric Sciences, 55(22), 3403–3407. doi:10.1175/1520-0469(1998)055<3403:APIOVK>2.0.CO;2
   Web of Science ®Google Scholar
• Buschmann, M. H., & Gad-el-Hak, M. (2003). Generalized logarithmic law and its consequences. AIAA Journal, 41(1), 40–48. doi:10.2514/2.1911
   Web of Science ®Google Scholar
• Businger, J. A., Wyngaard, J. C., Izumi, Y., & Bradley, E. F. (1971). Flux-profile relationships in the atmospheric surface layer. Journal of the Atmospheric Sciences, 28(2), 181–189. doi:10.1175/1520-0469(1971)028<0181:FPRITA>2.0.CO;2
   Web of Science ®Google Scholar
• Camussi, R., & Di Felice, F. (2006). Statistical properties of vortical structures with spanwise vorticity in zero pressure gradient turbulent boundary layers. Physics of Fluids, 18(3), 035108. doi:10.1063/1.2185684
   Web of Science ®Google Scholar
• Cuthbertson, A. J. S., & Ervine, D. A. (2007). Experimental study of fine sand particle settling in turbulent open channel flows over rough porous beds. Journal of Hydraulic Engineering, 133(8), 905–916. doi:10.1061/(ASCE)0733-9429(2007)133:8(905)
   Web of Science ®Google Scholar
• Eyink, G. L. (1994). The renormalization group method in statistical hydrodynamics. Physics of Fluids, 6(9), 3063–3078. doi:10.1063/1.868131
   Web of Science ®Google Scholar
• George, W. K. (2007). Is there a universal log law for turbulent wall-bounded flows? Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 365(1852), 789–806. doi:10.1098/rsta.2006.1941
   PubMed Web of Science ®Google Scholar
• George, W. K., & Castillo, L. (1997). Zero-pressure-gradient turbulent boundary layer. Applied Mechanics Reviews, 50(12), 689–729. doi:10.1115/1.3101858
   Google Scholar
• Hinze, J. O. (1975). Turbulence (2nd ed). McGraw-Hill.
   Google Scholar
• Hughes, R. L. (2007). A mathematical determination of von Karman’s constant, κ. Journal of Hydraulic Research, 45(4), 563–566. doi:10.1080/00221686.2007.9521792
   Web of Science ®Google Scholar
• Jimenez, J., & Moser, R. D. (2007). What are we learning from simulating wall turbulence? Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 365(1852), 715–732. doi:10.1098/rsta.2006.1943
   PubMed Web of Science ®Google Scholar
• Keulegan, G. H. (1938). Laws of turbulent flow in open channels. Journal of Research of the National Bureau of Standards, 21(6), 707. doi:10.6028/jres.021.039
   Google Scholar
• Lee, M., & Moser, R. D. (2015). Direct numerical simulation of turbulent channel flow up to Reτ ≈ 5200. Journal of Fluid Mechanics, 774, 395–415. doi:10.1017/jfm.2015.268
   Web of Science ®Google Scholar
• Long, C. E., Wiberg, P. L., & Nowell, A. R. M. (1993). Evaluation of von Karman’s constant from integral flow parameters. Journal of Hydraulic Engineering, 119(10), 1182–1190. doi:10.1061/(ASCE)0733-9429(1993)119:10(1182)
   Web of Science ®Google Scholar
• Marusic, I., McKeon, B. J., Monkewitz, P. A., Nagib, H. M., Smits, A. J., & Sreenivasan, K. R. (2010). Wall-bounded turbulent flows at high Reynolds numbers: Recent advances and key issues. Physics of Fluids, 22(6), 065103-1-24. doi:10.1063/1.3453711
   Web of Science ®Google Scholar
• Marusic, I., & Monty, J.P. (2019). Attached eddy model of wall turbulence. Annual Review of Fluid Mechanics, 51(1), 49–74. doi:10.1146/annurev-fluid-010518-040427
   Web of Science ®Google Scholar
• Meinhart, C. D., & Adrian, R. J. (1995). On the existence of uniform momentum zones in a turbulent boundary layer. Physics of Fluids, 7(4), 694–696. doi:10.1063/1.868594
   Web of Science ®Google Scholar
• Millikan, C. M. (1938). A critical discussion of turbulent flows in channels and circular tubes. Proc. 5th Int Congress for Applied Mechanics (pp. 386–392). Harvard and MIT.
   Google Scholar
• Nagib, H. M., & Chauhan, K. A. (2008). Variations of von Kármán coefficient in canonical flows. Physics of Fluids, 20(10), 101518. doi:10.1063/1.3006423
   Web of Science ®Google Scholar
• Nezu, I., & Rodi, W. (1986). Open-channel flow measurements with a laser Doppler anemometer. Journal of Hydraulic Engineering, 112(5), 335–355. doi:10.1061/(ASCE)0733-9429(1986)112:5(335)
   Web of Science ®Google Scholar
• Nikuradse, J. (1933). “Strömungsgesetze in rauhen Rohren”. Forsch. Arb. Ing.-Wes., Heft 361. Translated from German as NACA Tech. Memo., 1292, 62pp.
   Google Scholar
• Orsag, S. A., & Patera, A. T. (1981). Calculation of Von Kármán’s constant for turbulent channel flow. Physical Review Letters, 47(12), 832–835. doi:10.1103/PhysRevLett.47.832
   Web of Science ®Google Scholar
• Perry, A. E., & Chong, M. S. (1982). On the mechanism of wall turbulence. Journal of Fluid Mechanics, 119, 173–217. doi:10.1017/S0022112082001311
   Web of Science ®Google Scholar
• Pope, S. B. (2000). Turbulent Flows. Cambridge University Press.
   Google Scholar
• Prandtl, L. (1932). Zur Turbulenten Strömung in Rohren und längs Platten, Ergeb. Aerod. Versuch Göttingen, IV Lieferung, 4.
   Google Scholar
• She, Z., Chen, X., & Hussain, F. (2017). Quantifying wall turbulence via a symmetry approach. Part 1. A Lie group theory. Journal of Fluid Mechanics, 827, 322–356. doi:10.1017/jfm.2017.464
   Web of Science ®Google Scholar
• Sheppard, P. A. (1947). The aerodynamic drag of the earth’s surface and the value of von Karman’s constant in the lower atmosphere. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 188(1013), 208–222. doi:10.1098/rspa.1947.0005
   Web of Science ®Google Scholar
• Smart, G. M., Plew, D., & Gateuille, D. (2010). “Eddy Educed Entrainment”, River Flow 2010. Eds. Dittrich, Koll, Aberle, Geisenhainer. Bundesanstalt fuer Wasserbau, Germany, pp. 747–754.
   Google Scholar
• Telford, J. W. (1982). A theoretical value for von Karman’s constant. Pure and Applied Geophysics PAGEOPH, 120(4), 648–661. doi:10.1007/BF00876650
   Web of Science ®Google Scholar
• Tennekes, H., & Lumley, J. L. (1972). A first course in turbulence. MIT Press.
   Google Scholar
• Townsend, A. A. (1976). The Structure of Turbulent Shear Flow (2nd ed). Cambridge Univ. Press.
   Google Scholar
• Van Driest, E. (1956). On turbulent flow near a wall. Journal of the Aeronautical Sciences, 23(11), 1007–1011. doi:10.2514/8.3713
   Web of Science ®Google Scholar
• von Karman, T. (1930). Mechanische Ahnlichkeit and Turbulenz. Nachrichten der Akademie der Wissenschaften Gottingen, Math. Phys. Klasse, 58–76.
   Google Scholar
• Yaglom, A. M. (1979). Similarity laws for constant-pressure and pressure-gradient turbulent wall flows. Annual Review of Fluid Mechanics, 11(1), 505–540. doi:10.1146/annurev.fl.11.010179.002445
   Web of Science ®Google Scholar
• Yakhot, V., & Orszag, S. A. (1986). Renormalization-group analysis of turbulence. Physical Review Letters, 57(14), 1722–1724. doi:10.1103/PhysRevLett.57.1722
   PubMed Web of Science ®Google Scholar