Abstract
The transient equations for longitudinal (along the flow) velocity pulsations and pulsations of concentration in the region of a viscous underlayer are considered. Estimates based on experimental data enable the contributions arising from certain terms of these equations to be neglected in turbulent transfer. Subject to this approximation, expressions are obtained for the turbulent viscosity and diffusion coefficients. These coefficients behave differently in the case of large Schmidt (Prandtl) numbers. The behavior of the turbulent Schmidt number in the region of the viscous underlayer is analyzed.
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J. Laufer “The structure of turbulence in fully-developed pipe flow,” NACA Tech. Rept., No. 1174 (1954).
Boundary Turbulence [in Russian], Izd. SO AN SSSR, Novosibirsk (1968), p. 142.
V. G. Levich, Physicochemical Hydrodynamics fin Russian], Fizmatgiz, Moscow (1959), p. 39.
S. J. Kline, W. C. Reynolds, F. A. Schraub, and P. W. Runstadler, “The structure of turbulent boundary layers,” J. Fluid Mech.,30, Pt. 4 (1967).
A. A. Gukhman and B. A. Kader, “Mass transfer from a tube wall to a turbulent flow of liquid for high Schmidt numbers,” Teor. Osnovy Khim. TekhnoL,3, No. 2 (1969).
P. Harriot and R. M. Hamilton, “Solid-liquid mass transfer in turbulent pipe flow,” Chem. Engng. Sci.,20, No. 12 (1965).
D. W. Hubbard, “Correlation of mass-transfer data,” A. L. Ch. E. Journal,14, No. 2 (1968).
R. G. Deissler, “Analysis of turbulent heat-transfer, mass-transfer, and friction in smooth tubes at high Prandtl and Schmidt numbers,” NACA Kept., No. 1210 (1955).
J. S. Son and T. J. Hanratty, “Limiting relation for the eddy diffusivity close to a wall,” A. I. Ch. E. Journal,13, No. 4 (1967).
M. Kh. Kishinevskii, T. S. Kornienko, and V. A. Parmenov, “Experimental study of the attenuation law of turbulent pulsations at a solid wall,” Teor. Osnovy Khim. Tekhnol.,4, No. 4 (1970).
S. S. Kutateladze, Boundary Turbulence [in Russian], Part1, Izd. Novosibirsk. Univ., Novosibirsk (1970), p. 148.
T. J. Hanratty, “Study of turbulence close to a solid wall,” Phys. Fluids,10, No. 9 (1967).
R. L. Meek and A. D. Baer, “The periodic viscous sublayer in turbulent flow,” A. I. Ch. E. Journal, 16, No. 5 (1970).
W. W. Willmarth and C. E. Wooldridge, “Measurements of the fluctuating pressure at the wall beneath a thick turbulent boundary layer,” J. Fluid Mech.,14, Pt. 2 (1962).
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 2, pp. 61–66, March–April, 1974.
The author is grateful to S. S. Kutateladze, V. E. Nakoryakov, M. A. Gol'dshtik, and V. N. Shtern for discussing the results of this investigation.
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Geshev, P.I. Characteristics of turbulent-exchange coefficients in a viscous underlayer. J Appl Mech Tech Phys 15, 196–200 (1974). https://doi.org/10.1007/BF00850658
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DOI: https://doi.org/10.1007/BF00850658