1.
Baskakov
A. P.
,
Tuponogov
V. G.
, and
Filippovsky
N. F.
,
1986
, “
A Study of Pressure Fluctuations in a Bubbling Fluidized Bed
,”
Powder Technology
, Vol.
45
, pp.
113
117
.
2.
Berry
M. V.
, and
Lewis
Z. V.
,
1980
, “
On the Weierstrass-Mandelbrot Fractal Function
,”
Proc. R. Soc. Lond. A
, Vol.
370
, pp.
459
484
.
3.
Burlaga
L. F.
, and
Klein
L. W.
,
1986
, “
Fractal Structure of the Interplanetary Magnetic Field
,”
J. Geophys. Res.
, Vol.
91
, pp.
347
347
.
4.
Daw, C. S., and Halow, J. S., 1991, “Characterization of Voidage and Pressure Signals from Fluidized Beds Using Deterministic Chaos Theory,” Proceedings of the 11th International Conference on Fluidized Bed Combustion, Montreal, Vol. 2, pp. 777–786.
5.
Daw
C. S.
,
Lawkins
W. F.
,
Downing
D. J.
, and
Clapp
N. E.
,
1990
, “
Chaotic Characteristics of a Complex Gas-Solids Flow
,”
Physical Review A
, Vol.
41
, No.
2
, pp.
1179
1181
.
6.
Fan
L. T.
,
Kang
Y.
,
Yashima
M.
, and
Neogi
D.
,
1995
, “
Stochastic Behavior of Fluidized Particles in a Liquid-Solid Fluidized Bed
,”
Chem. Eng. Comm.
, Vol.
135
, pp.
147
160
.
7.
Fan
L. T.
,
Neogi
D.
,
Yashima
M.
, and
Nassar
R.
,
1990
, “
Stochastic Analysis of a Three-Phase Fluidized Bed: Fractal Approach
,”
AIChE Journal
, Vol.
36
, No.
10
, pp.
1529
1535
.
8.
Feder, J., 1988, Fractals, Plenum Press, New York, pp. 149–199.
9.
Fuller, T. A., Flynn, T. J., Daw, C. S., and Halow, J. S., 1993, “Interpretation of Pilot-Scale, Fluidized Bed Behavior using Chaotic Time Series Analysis,” Proceedings of the 12th International Conference on Fluidized Bed Combustion, San Diego, ASME, Vol. 1, pp. 126–140.
10.
Geldart
D.
,
1973
, “
Types of Fluidization
,”
Powder Technology
, Vol.
7
, pp.
285
292
.
11.
Higuchi
T.
,
1988
, “
Approach to an Irregular Time Series on the Basis of the Fractal Theory
,”
Physica D
, Vol.
31
, pp.
277
283
.
12.
Higuchi
T.
,
1990
, “
Relationship between the Fractal Dimension and the Power Law Index for a Time Series: A Numerical Investigation
,”
Physica D
, Vol.
46
, pp.
254
264
.
13.
Humphrey
J. A. C.
,
Schuler
C. A.
, and
Rubinsky
B.
,
1992
, “
On the Use of the Weierstrass-Mandelbrot Function to Describe the Fractal Component of Turbulent Velocity
,”
Fluid Dynamics Research
, Vol.
9
, pp.
81
95
.
14.
Kwon
H. W.
,
Kang
Y.
,
Kim
S. D.
,
Yashima
M.
, and
Fan
L. T.
,
1994
, “
Bubble-Chord Length and Pressure Fluctuations in Three-Phase Fluidized Beds
,”
Ind. Eng. Chem. Res.
, Vol.
33
, pp.
1852
1857
.
15.
Mandelbrot, B. B., 1977, Fractals: Form, Chance and Dimension, Freeman, San Francisco.
16.
Pence, D. V., and Beasley, D. E., 1995, “Multi-Fractal Signal Simulation of Local, Instantaneous Heat Transfer in a Bubbling Gas Fluidized Bed,” Proceedings of the 30th National Heat Transfer Conference, Portland, OR, ASME HTD-Vol. 309, pp. 73–82.
17.
Pence
D. V.
,
Beasley
D. E.
, and
Riester
J. B.
,
1995
, “
Deterministic Chaotic Behavior of Heat Transfer in Gas-fluidized Beds
,”
ASME Journal of Heat Transfer
, Vol.
117
, No.
2
, pp.
465
472
.
18.
Schouten
J. C.
, and
van den Bleek
C. M.
,
1992
, “
Chaotic Hydrodynamics of Fluidization: Consequences for Scaling and Modeling of Fluid Bed Reactors
,”
A.I.Ch.E. Symposium Series
, Vol.
88
, No.
289
, pp.
70
84
.
19.
Skrzycke, D. P., Nguyen, K., and Daw, C. S., 1993, “Characterization of the Fluidization Behavior of Different Solid Types Based on Chaotic Time Series Analysis of Pressure Signals,” Proceedings of the 12th International Conference on Fluidized Bed Combustion, San Diego, Vol. 1, pp. 155–166.
20.
van der Stappen
M. L. M.
,
Schouten
J. C.
, and
van den Bleek
C. M.
,
1993
, “
Application of Deterministic Chaos Theory in Understanding the Fluid Dynamic Behavior of Gas-Solids Fluidization
,”
Fluid-Particle Processes: Fundamentals and Applications, A.I.Ch.E. Symposium Series
, Vol.
296
, pp.
91
102
.
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