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International Journal of Fluid Mechanics Research

ISSN Print: 1064-2277
ISSN Online: 2152-5102

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v30.i1.70
14 pages

Relationship between Probabilistic and Spatial-Time Mean Values for Turbulent Suspension Flow

S. I. Kril'
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
V. P. Berman
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

ABSTRACT

A partial differential equation relating to the probability-averaged mean value to the spatial-time-averaged one for the nonuniform stationary field of an averaged hydrodynamic quantity of turbulent suspension flow has been set up. Based on it, a method of transformation of empirical spatial-time mean values into probabilistic ones with allowance made for the influence of hydrodynamic quantity field nonuniformity as well as of the averaging volume form and size on the relative difference of the studied mean values from each other has been developed. A condition wherein the empirical spatial-time mean values practically coincide by its magnitude with probabilistic ones, and the spatial-time mean values being measured can be used for comparing results of the turbulence statistical model in this case has been found.