Optimization of distributive mixing : from prototype flows to industrial devices

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[1]  E. Bruce Nauman,et al.  The Kenics static mixer : new data and proposed correlations , 1995 .

[2]  O. S. Galaktionov,et al.  Structure development during chaotic mixing in the journal bearing flow , 2002 .

[3]  Mark L. Sawley,et al.  Parallel computation and analysis of the flow in a static mixer , 1999 .

[4]  Jack Dongarra,et al.  PVM: Parallel virtual machine: a users' guide and tutorial for networked parallel computing , 1995 .

[5]  Hassan Aref,et al.  Chaotic advection in a Stokes flow , 1986 .

[6]  Gerrit W. M. Peters,et al.  The Mapping Method for Mixing Optimization Part I: The Multiflux Static Mixer , 2001 .

[7]  P. Anderson.  Computational analysis of distributive mixing , 1999 .

[8]  S. Middleman,et al.  Fundamentals of polymer processing , 1977 .

[9]  F. Muzzio,et al.  Structure of the stretching field in chaotic cavity flows , 1994 .

[10]  Julio M. Ottino,et al.  From Reynolds’s stretching and folding to mixing studies using horseshoe maps , 1994 .

[11]  James M. Hyman,et al.  Numerical methods for tracking interfaces , 1984 .

[12]  The curvature of material lines in a three-dimensional chaotic flow , 1998 .

[13]  G. W. M. Peters,et al.  Mixing Simulations: Tracking Strongly Deforming Fluid Volumes in 3D Flows , 1997, PVM/MPI.

[14]  Patrick Patrick Anderson,et al.  International Journal for Numerical Methods in Fluids an Adaptive Front Tracking Technique for Three-dimensional Transient Flows , 2022 .

[15]  F. Muzzio,et al.  The Kenics Static Mixer : a Three-dimensional Chaotic Flow , 1997 .

[16]  Eric D. Wetzel,et al.  Area tensors for modeling microstructure during laminar liquid-liquid mixing , 1999 .

[17]  O. S. Galaktionov,et al.  Material stretching in laminar mixing flows: extended mapping technique applied to the journal bearing flow , 2002 .

[18]  Julio M. Ottino,et al.  Symmetries within chaos: A route to effective mixing , 1989 .

[19]  Study of Fluid Motion by Means of Coloured Bands1 , 2022, Nature.

[20]  P. V. Danckwerts.  The Difinition and Measurement of Some Characteristics of Mixtures , 1953 .

[21]  Fernando J. Muzzio,et al.  Optimization of a static mixer using dynamical systems techniques , 1998 .

[22]  C. L. Tucker,et al.  Droplet deformation in dispersions with unequal viscosities and zero interfacial tension , 2001, Journal of Fluid Mechanics.

[23]  O. S. Galaktionov,et al.  Analyzing Fluid Mixing in Periodic Flows by Distribution Matrices : The Mapping Method , 2001 .

[24]  O. S. Galaktionov,et al.  Evolution of layered structures in the final stage of turbulent decay in a stably stratified fluid , 2001 .

[25]  Julio M. Ottino,et al.  A case study of chaotic mixing in deterministic flows: The partitioned-pipe mixer , 1987 .

[26]  Fernando J. Muzzio,et al.  Numerical characterization of low Reynolds number flow in the Kenics static mixer , 1998 .

[27]  Philippe A. Tanguy,et al.  Numerical simulations of mixing in an SMRX static mixer , 1996 .

[28]  Patrick Patrick Anderson,et al.  Analysis of mixing in three-dimensional time-periodic cavity flows , 1999, Journal of Fluid Mechanics.

[29]  Marcel Crochet,et al.  Finite-element simulation of mixing .2. Three-dimensional flow through a kenics mixer , 1997 .

[30]  H. Aref.  Stirring by chaotic advection , 1984, Journal of Fluid Mechanics.

[31]  Patrick Patrick Anderson,et al.  Mixing of non-Newtonian fluids in time-periodic cavity flows , 2000 .

[32]  Gretar Tryggvason,et al.  Computations of multi-fluid flows , 1992 .

[33]  R. Fox.  Entropy evolution for the Baker map. , 1998, Chaos.

[34]  Approximations to the Area of an n-Dimensional Ellipsoid , 1950, Canadian Journal of Mathematics.

[35]  Julio M. Ottino,et al.  Scaling and multifractal properties of mixing in chaotic flows , 1992 .

[36]  Patrick Patrick Anderson,et al.  A global, multi-scale simulation of laminar fluid mixing: the extended mapping method , 2002 .

[37]  V. V. Meleshko,et al.  Periodic points for two-dimensional Stokes flow in a rectangular cavity , 1996 .

[38]  Mgd Marc Geers,et al.  Experimental analysis and computational modelling of damage and fracture , 1997 .

[39]  J. Ottino.  The Kinematics of Mixing: Stretching, Chaos, and Transport , 1989 .

[40]  F. Muzzio,et al.  Reynolds number effects on laminar mixing in the Kenics static mixer , 1998 .

[41]  Julio M. Ottino,et al.  Potentialities and limitations of mixing simulations , 1995 .

[42]  Fernando J. Muzzio,et al.  Characterization of flow and mixing in an SMX static mixer , 2002 .

[43]  G. G. Peters,et al.  Tools for the measurement of stress and strain fields in soft tissue : application to the elbow joint , 1987 .

[44]  M. Rudman.  INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, VOL. 24, 671–691 (1997) VOLUME-TRACKING METHODS FOR INTERFACIAL FLOW CALCULATIONS , 2022 .

[45]  F. Muzzio,et al.  The intermaterial area density generated by time- and spatially periodic 2D chaotic flows , 2000 .

[46]  V. Meleshkoa,et al.  Three-dimensional mixing in Stokes flow : the partitioned pipe mixer problem revisited , 1999 .

[47]  Christopher W. Macosko,et al.  Rheology: Principles, Measurements, and Applications , 1994 .

[48]  O. S. Galaktionov,et al.  Stokes flow in a rectangular cavity with a cylinder , 1999 .

[49]  Julio M. Ottino,et al.  The statistics of stretching and stirring in chaotic flows , 1991 .

[50]  Heh Han Meijer,et al.  The Mapping Method for Mixing Optimization , 2000 .

[51]  Patrick D. Anderson,et al.  Chaotic fluid mixing in non-quasi-static time-periodic cavity flows , 2000 .

[52]  R. S. Spencer,et al.  The mixing of very viscous liquids , 1951 .

[53]  H. H. Meijer,et al.  Mapping approach for 3D laminar mixing simulations: application to industrial flows , 2002 .

[54]  O. S. Galaktionov,et al.  Symmetry of periodic structures in a 3D mixing cavity flow , 2000 .

[55]  Nhan Phan-Thien,et al.  A numerical study of viscoelastic effects in chaotic mixing between eccentric cylinders , 2000, Journal of Fluid Mechanics.

[56]  Piet D. Iedema,et al.  CFD calculation of laminar striation thinning in static mixer reactors , 2001 .