[1] |
OLEMSKOI A I, KLEPIKOV V F. The theory of spatiotemporal pattern in nonequilibrium systems[J]. Physics Reports, 2000, 338(6):571-677.
|
[2] |
KELLEY D H, OUELLETTE N T. Separating stretching from folding in fluid mixing[J]. Nature Physics, 2011, 7(6):477-480.
|
[3] |
CHENG J C, YANG C, MAO Z S, et al. CFD modeling of nucleation, growth, aggregation and breakage in continuous precipitation of barium sulfate in a stirred tank[J]. Industrial & Engineering Chemistry Research, 2009, 48(15):6992-7003.
|
[4] |
BOUREMEL Y, YIANNESKIS M, DUCCI A. Three-dimensional deformation dynamics of trailing vortex structures in a stirred vessel[J]. Industrial & Engineering Chemistry Research, 2009, 48(17):8148-8158.
|
[5] |
LI Z P, HU M T, BAO Y Y, et al. Particle image velocimetry experiments and large eddy simulations of merging flow characteristics in dual Rushton turbine stirred tanks[J]. Industrial & Engineering Chemistry Research, 2012, 51(5):2438-2450.
|
[6] |
PAGLIANTI A, LIU Z H, MONTANTE G, et al. Effect of macroinstabilities in single-and multiple-impeller stirred tanks[J]. Industrial & Engineering Chemistry Research, 2008, 47(14):4944-4952.
|
[7] |
PINELLI D, LIU Z H, MAGELLI F. Analysis of KLa measurement methods in stirred vessels:the role of experimental techniques and fluid dynamic models[J]. International Journal of Chemical Reactor Engineering, 2010, 8(1):1-38.
|
[8] |
HWU T Y. Chaotic stirring in a new type of mixer with rotating rigid blades[J]. European Journal of Mechanics, 2008, 27(3):239-250.
|
[9] |
HALLER G. Distinguished material surfaces and coherent structures in three-dimensional fluid flows[J]. Physica D:Nonlinear Phenomena, 2001, 149(4):248-277.
|
[10] |
SZEZECH J R, SCHELIN A B, CALDAS I L, et al. Finite-time rotation number:a fast indicator for chaotic dynamical structures[J]. Physics Letters A, 2013, 377(6):452-456.
|
[11] |
NOMURA T, UCHIDA T, TAKAHASHI K. Enhancement of mixing by unsteady agitation of an impeller in an agitated vessel[J]. J. Chem. Eng. Jpn., 1997, 30(5):875-879.
|
[12] |
MASIUK S. Mixing time for a reciprocating plate agitator with flapping blades[J]. Chemical Engineering Journal, 2000, 79:23-30.
|
[13] |
TAKAHASHI K. Recent advance in chaotic mixing in a mixing equipment[J]. J. Chem. Eng. Jpn., 2007, 40(8):605-610.
|
[14] |
YAO W G, SATO H, TAKAHASHI K, et al. Mixing performance experiments in impeller stirred tanks subjected to unsteady rotational speeds[J]. Chemical Engineering Science, 1998, 53:303l-3040.
|
[15] |
MASIUK S, RAKOCZY R. Power consumption, mixing time, heat and mass transfer measurements for liquid vessels that are mixed using reciprocating multiplates agitators[J]. Chemical Engineering and Processing, 2007, 46:89-98.
|
[16] |
MASIUK S, RAKOCZY R, KORDAS M. Comparison density of maximal energy for mixing process using the same agitator in rotational and reciprocating movements[J]. Chemical Engineering and Processing, 2007, 4:1-9.
|
[17] |
ALVAREZ M M. Using spatio-temporal asymmetry to enhance mixing in chaotic flows:from maps to stirred tanks[D]. Piscataway:Rutgers University, 2000.
|
[18] |
ALVAREZ M M, ARRATIA P E, MUZZIO F J. Laminar mixing in eccentric stirred tank systems[J]. Canadian Journal of Chemical Engineering, 2002, 80(4):546-557.
|
[19] |
刘作华, 孙瑞祥, 王运东, 等. 刚-柔组合搅拌桨强化流体混沌混合[J]. 化工学报, 2014, 65(9):3340-3349. LIU Z H, SUN R X, WANG Y D, et al. Chaotic mixing intensified by rigid-flexible coupling impeller[J]. CIESC Journal, 2014, 65(9):3340-3349.
|
[20] |
GU D Y, LIU Z H, XU C L, et al. Solid-liquid mixing performance in a stirred tank with a double punched rigid-flexible impeller coupled with a chaotic motor[J]. Chemical Engineering & Processing Process Intensification, 2017, 118:37-46.
|
[21] |
FAN J H, WANG Y D, FEI W Y. Large eddy simulation of flow instabilities in a stirred tank generated by a Rushton turbine[J]. Chinese Journal of Chemical Engineering, 2007, 15:200-208.
|
[22] |
刘作华, 宁伟征, 孙瑞祥, 等. 偏心空气射流双层桨搅拌反应器流场结构的分形特征[J]. 化工学报, 2011, 62(3):628-635. LIU Z H, NING W Z, SUN R X, et al. Fractal flow structure in eccentric air jet-stirred reactor with double impeller[J]. CIESC Journal, 2011, 62(3):628-635.
|
[23] |
李世勇. 非线性科学与复杂性科学[M]. 哈尔滨:哈尔滨工业大学出版社, 2006. LI S Y. Nonlinear Science and Complexity Science[M]. Harbin:Harbin Institute of Technology Press, 2006.
|
[24] |
李睿劬, 李存标. 平板边界层中湍流的发生与混沌动力学之间的联系[J]. 物理学报, 2002, 51(8):1743-1749. LI R Q, LI C B. A link between chaos dynamics and the onset of turbulence in a transitional boundary layer[J]. Acta Physica Sinica, 51(8):1743-1749.
|
[25] |
吕金虎, 陆君安, 陈士华. 混沌时间序列分析及其应用[M]. 武汉:武汉大学出版社, 2002. LÜ J H, LU J A, CHEN S H. Chaos Time Series Analysis and Its Applications[M]. Wuhan:Wuhan University Press, 2002.
|
[26] |
COSTA M, GOLDBERGER A L, PENG C K. Multiscale entropy analysis of complex physiologic time series[J]. Phys. Rev. Lett., 2002, 89:68-102.
|
[27] |
COSTA M, HEALEY J A. Multiscale entropy analysis of complex heart rate dynamics:discrimination of age and heart failure effects[J]. Computers in Cardiology, 2003, 30:705-708.
|