1
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Wang Y, Yang Q, Zu L, Dong S, Lan T. Preparation and Characterization of PAM‐b‐DOPOAA by ATRP. ChemistrySelect 2022. [DOI: 10.1002/slct.202202905] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Affiliation(s)
- Yazhen Wang
- College of Materials Science and Engineering Qiaihar University Qiaihar 161006 China
- College of Chemistry Chemical Engineering and Resource Utilization Northeast Forestry University Harbin 150040 China
| | - Qing Yang
- College of Materials Science and Engineering Qiaihar University Qiaihar 161006 China
| | - Liwu Zu
- College of Materials Science and Engineering Heilongjiang Province Key Laboratory of Polymeric Composition Material Qiaihar University Qiaihar 161006 China
| | - Shaobo Dong
- College of Materials Science and Engineering Heilongjiang Province Key Laboratory of Polymeric Composition Material Qiaihar University Qiaihar 161006 China
| | - Tianyu Lan
- College of Materials Science and Engineering Heilongjiang Province Key Laboratory of Polymeric Composition Material Qiaihar University Qiaihar 161006 China
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2
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Ruan Y, Lu Y, An L, Wang ZG. Shear Banding in Entangled Polymers: Stress Plateau, Banding Location, and Lever Rule. ACS Macro Lett 2021; 10:1517-1523. [PMID: 35549139 DOI: 10.1021/acsmacrolett.1c00518] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Using molecular dynamics simulation, we study shear banding of entangled polymer melts under a steady shear. The steady shear stress vs shear rate curve exhibits a plateau spanning nearly two decades of shear rates in which shear banding is observed, and the steady shear stress remains unchanged after switching the shear rates halfway in the range of shear rates within the plateau region. In addition, we find strong correlation in the location of the shear bands between different shear rates starting from the same microstate configurations at equilibrium, which suggests the importance of the inherent structural heterogeneity in the entangled polymer network for shear banding. Furthermore, for the steady shear bands persisting to the longest simulated time of 9.0τd0 (disengagement time), the shear rate in the slow band and the relative proportion of the bands do not change very much with the increase of imposed shear rate, but the shear rate in the fast band increases approximately in proportion to the imposed shear rates, in contradiction to the lever rule.
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Affiliation(s)
- Yongjin Ruan
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, People’s Republic of China
| | - Yuyuan Lu
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, People’s Republic of China
| | - Lijia An
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, People’s Republic of China
| | - Zhen-Gang Wang
- Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, United States
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3
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Shin S, Kou Y, Dorfman KD, Cheng X. Dynamics of DNA-Bridged Dumbbells in Concentrated, Shear-Banding Polymer Solutions. Macromolecules 2021. [DOI: 10.1021/acs.macromol.0c02890] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Seunghwan Shin
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Yangming Kou
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Kevin D. Dorfman
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - Xiang Cheng
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, United States
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4
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Senjoti F, Ghori M, Diryak R, Conway B, Morris G, Smith A. Rheo-dissolution: A new platform for the simultaneous measurement of rheology and drug release. Carbohydr Polym 2020; 229:115541. [DOI: 10.1016/j.carbpol.2019.115541] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/18/2019] [Revised: 10/10/2019] [Accepted: 10/26/2019] [Indexed: 10/25/2022]
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5
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6
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Affiliation(s)
- Shi‐Qing Wang
- College of Polymer Science and Engineering 170 University Ave, Goodyear Polymer Center, Akron OH 44325 USA
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7
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Jin H, Kang K, Ahn KH, Briels WJ, Dhont JKG. Non-local stresses in highly non-uniformly flowing suspensions: The shear-curvature viscosity. J Chem Phys 2018; 149:014903. [PMID: 29981556 DOI: 10.1063/1.5035268] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
For highly non-uniformly flowing fluids, there are contributions to the stress related to spatial variations of the shear rate, which are commonly referred to as non-local stresses. The standard expression for the shear stress, which states that the shear stress is proportional to the shear rate, is based on a formal expansion of the stress tensor with respect to spatial gradients in the flow velocity up to leading order. Such a leading order expansion is not able to describe fluids with very rapid spatial variations of the shear rate, like in micro-fluidics devices and in shear-banding suspensions. Spatial derivatives of the shear rate then significantly contribute to the stress. Such non-local stresses have so far been introduced on a phenomenological level. In particular, a formal gradient expansion of the stress tensor beyond the above mentioned leading order contribution leads to a phenomenological formulation of non-local stresses in terms of the so-called "shear-curvature viscosity". We derive an expression for the shear-curvature viscosity for dilute suspensions of spherical colloids and propose an effective-medium approach to extend this result to concentrated suspensions. The validity of the effective-medium prediction is confirmed by Brownian dynamics simulations on highly non-uniformly flowing fluids.
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Affiliation(s)
- H Jin
- School of Chemical and Biological Engineering, Institute of Chemical Process, Seoul National University, 151-744 Seoul, South Korea
| | - K Kang
- Institute of Complex Systems (ICS-3), Forschungszentrum Jülich, D-52425 Jülich, Germany
| | - K H Ahn
- School of Chemical and Biological Engineering, Institute of Chemical Process, Seoul National University, 151-744 Seoul, South Korea
| | - W J Briels
- Institute of Complex Systems (ICS-3), Forschungszentrum Jülich, D-52425 Jülich, Germany
| | - J K G Dhont
- Institute of Complex Systems (ICS-3), Forschungszentrum Jülich, D-52425 Jülich, Germany
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8
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Varagnolo S, Filippi D, Mistura G, Pierno M, Sbragaglia M. Stretching of viscoelastic drops in steady sliding. SOFT MATTER 2017; 13:3116-3124. [PMID: 28393163 DOI: 10.1039/c7sm00352h] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
The sliding of non-Newtonian drops down planar surfaces results in a complex, entangled balance between interfacial forces and non-linear viscous dissipation, which has been scarcely inspected. In particular, a detailed understanding of the role played by the polymer flexibility and the resulting elasticity of the polymer solution is still lacking. To this aim, we have considered polyacrylamide (PAA) solutions of different molecular weights, suspended either in water or in glycerol/water mixtures. In contrast to drops of stiff polymers, drops of flexible polymers exhibit a remarkable elongation in steady sliding. This difference is most likely attributed to variation of viscous bending as a consequence of variation of shear thinning. Moreover, an "optimal elasticity" of the polymer seems to be required for this drop elongation to be visible. We have complemented experimental results with numerical simulations of a viscoelastic FENE-P drop. This has been a decisive step to unraveling how a change of the elastic parameters (e.g. polymer relaxation time, maximum extensibility) affects the dimensionless sliding velocity.
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Affiliation(s)
- Silvia Varagnolo
- Dipartimento di Fisica e Astronomia "Galileo Galilei"- DFA, Università di Padova, via Marzolo, 8-35131 Padova PD, Italy.
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9
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Räntzsch V, Wilhelm M, Guthausen G. Hyphenated low-field NMR techniques: combining NMR with NIR, GPC/SEC and rheometry. MAGNETIC RESONANCE IN CHEMISTRY : MRC 2016; 54:494-501. [PMID: 25854997 DOI: 10.1002/mrc.4219] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/28/2014] [Revised: 12/18/2014] [Accepted: 01/19/2015] [Indexed: 06/04/2023]
Abstract
Hyphenated low-field NMR techniques are promising characterization methods for online process analytics and comprehensive offline studies of soft materials. By combining different analytical methods with low-field NMR, information on chemical and physical properties can be correlated with molecular dynamics and complementary chemical information. In this review, we present three hyphenated low-field NMR techniques: a combination of near-infrared spectroscopy and time-domain NMR (TD-NMR) relaxometry, online (1) H-NMR spectroscopy measured directly after size exclusion chromatographic (SEC, also known as GPC) separation and a combination of rheometry and TD-NMR relaxometry for highly viscous materials. Case studies are reviewed that underline the possibilities and challenges of the different hyphenated low-field NMR methods. Copyright © 2015 John Wiley & Sons, Ltd.
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Affiliation(s)
- Volker Räntzsch
- Institute for Chemical Technology and Polymer Chemistry, Karlsruhe Institute for Technology (KIT), Karlsruhe, 76131, Germany
| | - Manfred Wilhelm
- Institute for Chemical Technology and Polymer Chemistry, Karlsruhe Institute for Technology (KIT), Karlsruhe, 76131, Germany
| | - Gisela Guthausen
- Pro2NMR, Institute for Biological Interfaces and Institute for Mechanical Process Engineering and Mechanics, Karlsruhe Institute of Technology (KIT), Karlsruhe, 76131, Germany
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10
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Boukany PE, Wang SQ, Ravindranath S, Lee LJ. Shear banding in entangled polymers in the micron scale gap: a confocal-rheoscopic study. SOFT MATTER 2015; 11:8058-8068. [PMID: 26377827 DOI: 10.1039/c5sm01429h] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
Recent shear experiments in well-entangled polymer solutions demonstrated that interfacial wall slip is the only source of shear rate loss and there is no evidence of shear banding in the micron scale gap. In this work, we experimentally elucidate how molecular parameters such as slip length, b, influence shear inhomogeneity of entangled polybutadiene (PBD) solutions during shear in a small gap H ∼ 50 μm. Simultaneous rheometric and velocimetric measurements are performed on two PBD solutions with the same level of entanglements (Z = 54) in two PBD solvents with molecular weights of 1.5 kg mol(-1) and 10 kg mol(-1) that possess different levels of shear inhomogeneity (2bmax/H = 17 and 240). For the PBD solution made with a low molecular weight PBD solvent of 1.5 kg mol(-1), wall slip is the dominant response within the accessible range of the shear rate, i.e., up to the nominal Weissenberg number (Wi) as high as 290. On the other hand, wall slip is minimized using a high molecular-weight PBD solvent of 10 kg mol(-1) so that bulk shear banding is observed to take place in the steady state for Wi > 100. Finally, these findings and previous results are in good agreement with our recently proposed phase diagram in the parameter space of apparent Wi versus 2bmax/H suggesting that shear banding develops across the micron scale gap when the imposed Wi exceeds 2bmax/H [Wang et al., Macromolecules, 2011, 44, 183].
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Affiliation(s)
- Pouyan E Boukany
- Department of Chemical Engineering, Delft University of Technology, Julianalaan 136, 2628 BL Delft, The Netherland.
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11
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Varagnolo S, Mistura G, Pierno M, Sbragaglia M. Sliding droplets of Xanthan solutions: A joint experimental and numerical study. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2015; 38:126. [PMID: 26614497 DOI: 10.1140/epje/i2015-15126-0] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/25/2015] [Accepted: 11/04/2015] [Indexed: 06/05/2023]
Abstract
We have investigated the sliding of droplets made of solutions of Xanthan, a stiff rodlike polysaccharide exhibiting a non-Newtonian behavior, notably characterized by a shear thinning viscosity accompanied by the emergence of normal stress difference as the polymer concentration is increased. These experimental results are quantitatively compared with those of Newtonian fluids (water). The impact of the non-Newtonian behavior on the sliding process was shown through the relation between the average dimensionless velocity (i.e. the capillary number) and the dimensionless volume forces (i.e. the Bond number). To this aim, it is needed to define operative strategies to compute the capillary number for the shear thinning fluids and compare with the corresponding Newtonian case. The resulting capillary number for the Xanthan solutions scales linearly with the Bond number at small inclinations, as well known for Newtonian fluids, while it shows a plateau as the Bond number is increased. Experimental data were complemented with lattice Boltzmann numerical simulations of sliding droplets, aimed to disentangle the specific contribution of shear thinning and elastic effects on the sliding behavior. In particular the deviation from the linear (Newtonian) trend is more likely attributed to the emergence of normal stresses inside the non-Newtonian droplet.
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Affiliation(s)
- Silvia Varagnolo
- Dipartimento di Fisica e Astronomia "G. Galilei" and CNISM, Università di Padova, Via Marzolo, 8, 35131, Padova, Italy.
| | - Giampaolo Mistura
- Dipartimento di Fisica e Astronomia "G. Galilei" and CNISM, Università di Padova, Via Marzolo, 8, 35131, Padova, Italy
| | - Matteo Pierno
- Dipartimento di Fisica e Astronomia "G. Galilei" and CNISM, Università di Padova, Via Marzolo, 8, 35131, Padova, Italy
| | - Mauro Sbragaglia
- Department of Physics and INFN, University of "Tor Vergata", Via della Ricerca Scientifica 1, 00133, Rome, Italy
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12
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Sharma P, Dessev TT, Munro PA, Wiles PG, Gillies G, Golding M, James B, Janssen P. Measurement techniques for steady shear viscosity of Mozzarella-type cheeses at high shear rates and high temperature. Int Dairy J 2015. [DOI: 10.1016/j.idairyj.2015.03.005] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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13
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Abstract
Thanks to extensive observations of strain localization upon startup or after stepwise shear, a conceptual framework for nonlinear rheology of entangled polymers appears to have emerged that has led to discovery of many new phenomena, which were not previously predicted by the standard tube model. On the other hand, the published theoretical and experimental attempts to test the limits of the tube model have largely demonstrated that the most experimental data appear consistent with the tube-model based theoretical calculations. Therefore, the field of nonlinear rheology of entangled polymers is at a turning point and is thus a rather crucial area in which further examinations are needed. In particular, more molecular dynamics simulations are needed to delineate the detailed molecular mechanisms for the various nonlinear rheological phenomena.
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Affiliation(s)
- Shi-Qing Wang
- Morton Institute of Polymer Science and Engineering and Department of Polymer Science, University of Akron, Akron, Ohio 44325-3909, USA.
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14
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Pavlovskaya GE, Meersmann T. Spatial Mapping of Flow-Induced Molecular Alignment in a Noncrystalline Biopolymer Fluid Using Double Quantum Filtered (DQF) (23)Na MRI. J Phys Chem Lett 2014; 5:2632-2636. [PMID: 26277955 DOI: 10.1021/jz501075j] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
Flow-induced molecular alignment was observed experimentally in a non-liquid-crystalline bioplymeric fluid during developed tubular flow. The fluid was comprised of rigid rods of the polysaccharide xanthan and exhibited shear-thinning behavior. Without a requirement for optical transparency or the need for an added tracer, (23)Na magic angle (MA) double quantum filtered (DQF) magnetic resonance imaging (MRI) enabled the mapping of the anisotropic molecular arrangement under flow conditions. A regional net molecular alignment was found in areas of high shear values in the vicinity of the tube wall. Furthermore, the xanthan molecules resumed random orientations after the cessation of flow. The observed flow-induced molecular alignment was correlated with the rheological properties of the fluid. The work demonstrates the ability of (23)Na MA DQF magnetic resonance to provide a valuable molecular-mechanical link.
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Affiliation(s)
- Galina E Pavlovskaya
- Sir Peter Mansfield Magnetic Resonance Centre, School of Medicine, University of Nottingham, Nottingham NG2 7RD, United Kingdom
| | - Thomas Meersmann
- Sir Peter Mansfield Magnetic Resonance Centre, School of Medicine, University of Nottingham, Nottingham NG2 7RD, United Kingdom
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15
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Chevrel MC, Hoppe S, Falk L, Nadège B, Chapron D, Bourson P, Durand A. Rheo-Raman: A Promising Technique for In Situ Monitoring of Polymerization Reactions in Solution. Ind Eng Chem Res 2012. [DOI: 10.1021/ie302054k] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
| | | | | | - Brun Nadège
- Université
de Lorraine,
LMOPS, EA 4423, Metz, F-57070, France
| | - David Chapron
- Université
de Lorraine,
LMOPS, EA 4423, Metz, F-57070, France
| | - Patrice Bourson
- Université
de Lorraine,
LMOPS, EA 4423, Metz, F-57070, France
| | - Alain Durand
- CNRS, LRGP,
UPR 3349, Nancy,
F-54001, France
- Université de Lorraine,
LCPM, UMR 7568, Nancy, F-54001, France
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16
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Briels WJ, Vlassopoulos D, Kang K, Dhont JKG. Constitutive equations for the flow behavior of entangled polymeric systems: Application to star polymers. J Chem Phys 2011; 134:124901. [DOI: 10.1063/1.3560616] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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17
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Wang SQ, Ravindranath S, Boukany PE. Homogeneous Shear, Wall Slip, and Shear Banding of Entangled Polymeric Liquids in Simple-Shear Rheometry: A Roadmap of Nonlinear Rheology. Macromolecules 2011. [DOI: 10.1021/ma101223q] [Citation(s) in RCA: 103] [Impact Index Per Article: 7.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Shi-Qing Wang
- Department of Polymer Science, University of Akron, Akron, Ohio 44325, United States
| | - S. Ravindranath
- Department of Polymer Science, University of Akron, Akron, Ohio 44325, United States
| | - P. E. Boukany
- Department of Polymer Science, University of Akron, Akron, Ohio 44325, United States
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18
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Affiliation(s)
- Pouyan E. Boukany
- Department of Polymer Science and Maurice Morton Institute of Polymer Science, University of Akron, Akron, Ohio 44325
| | - Shi-Qing Wang
- Department of Polymer Science and Maurice Morton Institute of Polymer Science, University of Akron, Akron, Ohio 44325
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19
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Malkin A, Semakov A, Kulichikhin V. Self-organization in the flow of complex fluids (colloid and polymer systems): part 1: experimental evidence. Adv Colloid Interface Sci 2010; 157:75-90. [PMID: 20452569 DOI: 10.1016/j.cis.2010.04.002] [Citation(s) in RCA: 35] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/13/2010] [Revised: 04/06/2010] [Accepted: 04/09/2010] [Indexed: 10/19/2022]
Abstract
Different types of regular and irregular self-organized structures observed in deformation of colloid and polymer substances ("complex fluids") are discussed and classified. This review is focused on experimental evidence of structure formation and self-organization in shear flows, which have many similar features in systems of different types. For single-phase (uniform) polymer systems regular periodic surface structures are observed. Two main types of these structures are possible: small-scale regular screw-like periodic structures along the whole stream (usually called "shark-skin") and long-period smooth and distorted parts of a stream attributed as a "stick-slip" effect. The origin of surface irregularities of both types is elasticity of a liquid. In the limiting case of high enough Weissenberg numbers, medium loses fluidity and should be treated as a rubbery matter. The liquid-to-rubbery transition at high Weissenberg numbers is considered as the dominating mechanism of instability, leading in particular to the wall slip and rupture of a stream. Secondary flows ("vorticity") in deformation polymeric substances and complex fluids are also obliged to their elasticity and the observed Couette-Taylor-like cells, though being similar to well-known inertial secondary flows, are completely determined by elasticity of colloid and polymeric systems. In deformation of colloidal systems, suspensions and other dense concentrated heterophase materials, structure formation takes place at rest and the destroying of the structure happens as the yield stress. In opposite to this case, strong deformations can lead to the shear-induced structure formation and jamming. These effects are of general meaning for any complex fluids as well as for dense suspensions and granular media. Strong deformations also lead to separation of a stream into different parts (several "bands") with various properties of liquids in these parts. So, two principal effects common for any polymers and complex fluids can be pointed at as the physical origin of self-organization in shearing. This is elasticity of a liquid and a possibility of its existence in different phases or relaxation states, while in many cases elasticity of a fluid is considered as the most important provoking factor for transitions between different types of rheological behavior, e.g. the fluid-to-rubbery-like behavior at high deformation rates and the transition from the real laminar flow to wall slip.
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20
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Hilliou L, Vlassopoulos D. Time-Periodic Structures and Instabilities in Shear-Thickening Polymer Solutions. Ind Eng Chem Res 2002. [DOI: 10.1021/ie0110078] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Loic Hilliou
- Foundation for Research and Technology − Hellas (FORTH), Institute of Electronic Structure & Laser, P.O. Box 1527, Heraklion 71110, Crete, Greece
| | - Dimitris Vlassopoulos
- Foundation for Research and Technology − Hellas (FORTH), Institute of Electronic Structure & Laser, P.O. Box 1527, Heraklion 71110, Crete, Greece
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21
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Fischer E, Callaghan PT, Heatley F, Scott JE. Shear flow affects secondary and tertiary structures in hyaluronan solution as shown by rheo-NMR. J Mol Struct 2002. [DOI: 10.1016/s0022-2860(01)00733-5] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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22
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Badiger MV, Rajamohanan PR, Suryavanshi PM, Ganapathy S, Mashelkar RA. In Situ Rheo-NMR Investigations of Shear-Dependent 1H Spin Relaxation in Polymer Solutions. Macromolecules 2001. [DOI: 10.1021/ma010938s] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
| | | | | | - S. Ganapathy
- National Chemical Laboratory, Pune 411 008, India
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23
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Dormidontova EE, ten Brinke G. Association behavior of binary polymer mixtures under elongational flow. J Chem Phys 2000. [DOI: 10.1063/1.1288685] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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