Abstract
A model for turbulent motion is proposed which makes it possible to evaluate the pulsation characteristics and the diffusion coefficients of the dispersed phase and also makes it possible to describe the effect of the suspended particles on the turbulence of the dispersing medium. Specific calculations are made for the situation when the undisturbed turbulent field is isotropic.
The diffusion of an admisture having inertia in a turbulent stream has been studied previously on the assumption that the three-dimensional turbulence characteristics have practically no effect on the behavior of the suspended particles, so that the random motion of the latter is described by ordinary differential equations containing the natural independent variable the motion travel time [1–4]. In many cases this assumption is incorrect and the corresponding theory is obviously deficient. For example, a fundamental result of this theory, asserting that the turbulent diffusion coefficients of the particles and of the fluid moles are equal for a long diffusion time, is obviously incorrect if the relative motion of the particles is significant [5].
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
C. M. Tchen, Mean Value and Correlation Problems Connected with the Motion of Small Particles Suspended in a Turbulent Fluid, Hague, 1947.
J. O. Hinze, Turbulence, Its Mechanism and Theory [Russian translation], Fizmatgiz, Moscow, 1963.
A. T. Hjemfelt and L. F. Mockros, “Motion of discrete particles in a turbulent fluid”, Appl. Scient. Res., vol. 16, no. 2, 1966.
V. G. Levich and S. I. Kuchanov, “Motion of particles suspended in a turbulent flow”, DAN SSSR, vol. 174, no. 4, 1967.
V. S. Sinel'shchikov, “On the turbulent diffusion coefficient for suspension particles”, PMTF [Journal of Applied Mechanics and Technical Physics], no. 6, 1967.
Yu. A. Buevich, “Non-Newtonian hydromechanics of dispersed systems”, PMM, vol. 32, no. 3, 1968.
W. Heisenberg, “Zur Statistischen Theorie der Turbulenz”, Zs. Phys., vol. 124, no. 7–12, 1948.
A. S. Monin and A. M. Yaglom, Statistical Hydromechanics. Mechanics of Turbulence, Part 2 [in Russian], Fizmatgiz, Moscow, 1967.
S. M. Rytov, Theory of Electrical Fluctuations and Thermal Radiation [in Russian], Izd-vo AN SSSR, 1953.
L. D. Landau and E. M. Lifshits, “On hydrodynamic fluctuations”, ZhETF, vol. 32, no. 3, 1957.
E. A. Novikov, “Method of random forces in turbulence theory”, ZhETF, vol. 44, no. 6, 1963.
E. A. Novikov, “Functionals and the method of random forces in turbulence theory”, ZhETF, vol. 47, no. 5(11), 1964.
S. F. Edwards, “The statistical dynamics of homogeneous turbulence”, J. Fluid Mech., vol. 18, no. 2, 1964.
R. W. Stewart and A. A. Townsend, “Similarity and self-preservation in isotropic turbulence”, Phil. Trans. Roy. Soc., ser. A, vol. 243, no. 867, 1951.
N. A. Fuks, “On the vertical distribution of particles suspended in a turbulent flow”, Zh. tekhn. fiz., vol. 32, no. 2, 1962.
Yu. A. Buevich and Yu. P. Gupalo, “Effect of particles suspended in a fluid flow on the decay of isotropic turbulence”, PMTF [Journal of Applied Mechanics and Technical Physics], no. 4, 1965.
Yu. A. Buevich and Yu. P. Gupalo, “Distortion of energy spectrum of decaying isotropic turbulence due to suspended particles”, PMTF [Journal of Applied Mechanics and Technical Physics], no. 5, 1965.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Buevich, Y.A. Diffusion of suspended particles in an isotropic turbulence field. Fluid Dyn 3, 59–65 (1968). https://doi.org/10.1007/BF01029538
Issue Date:
DOI: https://doi.org/10.1007/BF01029538