TY - JOUR
T1 - Similarity between chaos analysis and frequency analysis of pressure fluctuations in fluidized beds
AU - Schaaf, van der, J.
AU - Ommen, van, J.R.
AU - Takens, F.
AU - Schouten, J.C.
AU - Bleek, van den, C.M.
PY - 2004
Y1 - 2004
N2 - In literature the dynamic behavior of fluidized beds is frequently characterized by spectral anal. and chaos anal. of the pressure fluctuations that are caused by the gas-solids flow. In case of spectral anal., most often the power spectral d. (PSD) function is quantified, for example, by the frequency at the largest power and/or by the power-law fall-off at the higher frequencies. In case of chaos anal., most often the correlation entropy (or Kolmogorov entropy) is used to characterize the fluidized bed dynamics. It is shown theor. that a relation exists between the correlation entropy and the PSD function. This relation is exptl. verified by a large set of exptl. pressure fluctuation data from slugging, bubbling, and circulating fluidized beds. It is shown that the correlation entropy is linearly proportional to the av. frequency that is obtained from the PSD function. As the av. frequency can be directly interpreted in terms of the phys. phenomena underlying the pressure fluctuations, the av. frequency is suggested as a first, simple, characteristic of fluidized bed dynamics
AB - In literature the dynamic behavior of fluidized beds is frequently characterized by spectral anal. and chaos anal. of the pressure fluctuations that are caused by the gas-solids flow. In case of spectral anal., most often the power spectral d. (PSD) function is quantified, for example, by the frequency at the largest power and/or by the power-law fall-off at the higher frequencies. In case of chaos anal., most often the correlation entropy (or Kolmogorov entropy) is used to characterize the fluidized bed dynamics. It is shown theor. that a relation exists between the correlation entropy and the PSD function. This relation is exptl. verified by a large set of exptl. pressure fluctuation data from slugging, bubbling, and circulating fluidized beds. It is shown that the correlation entropy is linearly proportional to the av. frequency that is obtained from the PSD function. As the av. frequency can be directly interpreted in terms of the phys. phenomena underlying the pressure fluctuations, the av. frequency is suggested as a first, simple, characteristic of fluidized bed dynamics
U2 - 10.1016/j.ces.2004.01.036
DO - 10.1016/j.ces.2004.01.036
M3 - Article
SN - 0009-2509
VL - 59
SP - 1829
EP - 1840
JO - Chemical Engineering Science
JF - Chemical Engineering Science
IS - 8-9
ER -