Issue Section:
Research Papers
1.
Baskakov
A. P.
Tuponogov
V. G.
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.
Lewis
Z. V.
1980
, “On the Weierstrass-Mandelbrot Fractal Function
,” Proc. R. Soc. Lond. A
, Vol. 370
, pp. 459
–484
.3.
Burlaga
L. F.
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.
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.
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.
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.
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.
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.
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.
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.
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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