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Fourier spectrum to recover deterministic and stochastic behavior in stirred tanks
Author(s) -
Kovács T.,
Trägårdh C.,
Fuchs L.
Publication year - 2001
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690471005
Subject(s) - fourier transform , impeller , frequency domain , rushton turbine , nonlinear system , signal (programming language) , amplitude , statistical physics , turbulence , mathematics , fourier analysis , mathematical analysis , spectrum (functional analysis) , physics , mechanics , computer science , optics , quantum mechanics , programming language
Velocity data from the impeller region of Rushton and 6SRGT pilot‐scale impellers were analyzed both in the frequency domain and with respect to periodicity. The four characteristic frequencies and their combination were detected from the Fourier spectrum, and the deterministic part of the signal was recovered by making the amplitude of the other frequencies zero. The deterministic part was then analyzed with tools from nonlinear theories. For the two turbine‐types, the dynamics of the deterministic velocity parts were almost identical. The turbulent part of the signal could also be estimated in a similar manner.