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The dispersion of material in slowly moving fluids
Author(s) -
King R. P.,
Woodburn E. T.,
Riele W. A. M. Te
Publication year - 1972
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450500102
Subject(s) - tracer , dispersion (optics) , action (physics) , statistical physics , mechanics , stochastic process , markov process , physics , stochastic differential equation , mathematics , mathematical analysis , statistics , optics , quantum mechanics , nuclear physics
The dispersing action of a mass of slowly moving fluid is modelled by a stochastic partial differential equation. The separate components of the fluid velocity are represented as stochastic processes and appear as coefficients in that equation. These processes can take one of two forms: Markov processes with finite state‐space, or independent Ornstein‐Uhlenbeck processes. To confirm the predictions of the model they were compared with the mean response to a pulse‐like injection of tracer and with the observed cross‐correlation between tracer concentration at two points in the fluid. The statistical properties of the velocity processes, as estimated from these tracer studies, were confirmed by direct measurement with a hot‐film anemometer probe.