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Balasubramanian V, Denniston C. Polymer margination in uniform shear flows. SOFT MATTER 2018; 14:9209-9219. [PMID: 30403255 DOI: 10.1039/c8sm01445k] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
We address the issue of polymer margination (migration towards surfaces) in uniform shear flows through extensive LBMD (lattice-Boltzmann molecular dynamics) simulations. In particular we consider the effect of monomer size, a on the chain's overall margination tendency for chains of length N = 16, 32 monomers in flows at multiple shear rates [small gamma, Greek, dot above]. We observed higher margination of chains with larger radii monomers in comparison to smaller radii monomer chains of the same length N. We quantify this effect by considering various measures such as the distribution of the maximum extent of the chain into the channel bulk, zm, distribution of its center of mass in the direction normal to the surface, zc and the distributions of the chain's radius of gyration in directions parallel and perpendicular to the surface i.e. Rx, Ry and Rz respectively.
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Affiliation(s)
- Venkat Balasubramanian
- Department of Applied Mathematics, The University of Western Ontario, London, Ontario N6A 5B7, Canada.
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Hajizadeh E, Larson RG. Stress-gradient-induced polymer migration in Taylor-Couette flow. SOFT MATTER 2017; 13:5942-5949. [PMID: 28785756 DOI: 10.1039/c7sm00821j] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
We apply our recent continuum theory for stress-gradient-induced migration of polymers in solution (G. Zhu et al., J. Rheol., 2016, 60, 327-343) to rotational shearing flow in the gap between concentric cylinders (the so-called Taylor-Couette flow), where we have also accounted for the effect of polymer depletion from the solid boundaries on migration patterns. The steady-state distribution of dilute solutions of polymer dumbbells, obtained both using a systematic perturbation analysis in terms of the Weissenberg number (Wi) and by solving numerically the transport problem coupled to the upper-convected Maxwell equation, shows accumulation of polymers near the inner cylinder. This accumulation becomes so strong that most polymers are driven near the inner cylinder once Wi > 4. We also show that there is no first-order contribution to the polymer migration in Taylor-Couette flow due to the absence of a velocity component in the r-direction. Brownian dynamics (BD) simulations for a Hookean dumbbell give a concentration distribution in good agreement with the theoretical predictions of our theory, confirming the accuracy of the theory when the dumbbell radius of gyration is around an order of magnitude or much smaller than the gap. The demonstration of the accuracy of our continuum theory by direct molecular simulation opens the door to application of the theory to journal bearing and other lubrication flows containing polymers that may migrate due to stress gradients.
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Affiliation(s)
- Elnaz Hajizadeh
- Department of Chemical Engineering, University of Michigan, Ann Arbor, MI 48109, USA.
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KOZICKI W, HSU C, PASARI S. EVALUATION OF POLYMER ADSORPTION-GEL FORMATION AND SLIP IN POLYMER SOLUTION FLOWS. CHEM ENG COMMUN 2010. [DOI: 10.1080/00986448708911991] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- W. KOZICKI
- a Department of Chemical Engineering , University of Ottawa , Ottawa, KIN 9B4, Canada
| | - C.J. HSU
- a Department of Chemical Engineering , University of Ottawa , Ottawa, KIN 9B4, Canada
| | - S.N. PASARI
- a Department of Chemical Engineering , University of Ottawa , Ottawa, KIN 9B4, Canada
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Park J, Butler JE. Analysis of the Migration of Rigid Polymers and Nanorods in a Rotating Viscometric Flow. Macromolecules 2010. [DOI: 10.1021/ma901369a] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Joontaek Park
- Department of Chemical Engineering, University of Florida, Gainesville, Florida 32611
| | - Jason E. Butler
- Department of Chemical Engineering, University of Florida, Gainesville, Florida 32611
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Fang L, Hsieh CC, Larson RG. Molecular Imaging of Shear-Induced Polymer Migration in Dilute Solutions near a Surface. Macromolecules 2007. [DOI: 10.1021/ma062630c] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Lin Fang
- Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109
| | - Chih-Chen Hsieh
- Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109
| | - Ronald G. Larson
- Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109
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DUTTA A, MASHELKAR R. LONGITUDINAL DISPERSION IN RECTILINEAR FLOW OF DILUTE POLYMERIC LIQUIDS: LIKELY ROLE OF STRESS-INDUCED MIGRATION†. CHEM ENG COMMUN 2007. [DOI: 10.1080/00986448508911168] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- A. DUTTA
- a Chemical Engineering Division National Chemical Laboratory , Pune, 411 008, India
| | - R.A. MASHELKAR
- a Chemical Engineering Division National Chemical Laboratory , Pune, 411 008, India
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DUTTA A, RAVETKAR D, MASHELKAR R. ON FLOW LENGTH REQUIREMENT FOR STRESS-INDUCED POLYMER MIGRATION IN FINE CAPILLARIES. CHEM ENG COMMUN 2007. [DOI: 10.1080/00986448708911888] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- A. DUTTA
- a Chemical Engineering Division , National Chemical Laboratory , Pune, 411 008, India
| | - D.D. RAVETKAR
- a Chemical Engineering Division , National Chemical Laboratory , Pune, 411 008, India
| | - R.A. MASHELKAR
- a Chemical Engineering Division , National Chemical Laboratory , Pune, 411 008, India
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Affiliation(s)
- YORAM COHEN
- a Department of Chemical Engineering , University of California, Los Angeles , Los Angeles, CA, 90024
| | - A.B. METZNER
- b Department of Chemical Engineering , University of Delaware , Newark, DE, 19711
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Aubert JH, Tirrell M. Flow Rate Dependence of Elution Volumes in Size Exclusion Chromatography: A Review. ACTA ACUST UNITED AC 2006. [DOI: 10.1080/01483918308062875] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Giddings JC, Brantley SL. Shear Field-Flow Fractionation: Theoretical Basis of a New, Highly Selective Technique. SEP SCI TECHNOL 2006. [DOI: 10.1080/01496398408060666] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Lee H, Archer LA. Functionalizing polymer surfaces by field-induced migration of copolymer additives?role of shear fields. POLYM ENG SCI 2004. [DOI: 10.1002/pen.11052] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Choi HJ, Cho MS, Kim CA, Jhon MS. Effect of temperature gradient on polymer migration. POLYM ENG SCI 2004. [DOI: 10.1002/pen.11538] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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Lou J, Harinath V. Effects of Molecular Weight and Flow Rate on Stress‐Induced Migration of Polystyrene. J LIQ CHROMATOGR R T 2004. [DOI: 10.1081/jlc-200030476] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
Affiliation(s)
- Jianzhong Lou
- a Department of Mechanical and Chemical Engineering , North Carolina Agricultural and Technical State University , 1601 East Market St., Greensboro , North Carolina , 27411 , USA
| | - Vyas Harinath
- a Department of Mechanical and Chemical Engineering , North Carolina Agricultural and Technical State University , 1601 East Market St., Greensboro , North Carolina , 27411 , USA
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Lee H, Archer LA. Functionalizing Polymer Surfaces by Field-Induced Migration of Copolymer Additives. 1. Role of Surface Energy Gradients. Macromolecules 2001. [DOI: 10.1021/ma001278e] [Citation(s) in RCA: 57] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Hojun Lee
- Department of Chemical Engineering, Texas A&M University, College Station, Texas 77843, and School of Chemical Engineering, Cornell University, Ithaca, New York 14853
| | - Lynden A. Archer
- Department of Chemical Engineering, Texas A&M University, College Station, Texas 77843, and School of Chemical Engineering, Cornell University, Ithaca, New York 14853
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Mavrantzas VG, Beris AN. A hierarchical model for surface effects on chain conformation and rheology of polymer solutions. I. General formulation. J Chem Phys 1999. [DOI: 10.1063/1.478119] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Tsunashima Y. Polymer chain dynamics in dilute solutions under Couette flow: Dynamic light scattering from polystyrenes in a good solvent. J Chem Phys 1995. [DOI: 10.1063/1.469515] [Citation(s) in RCA: 9] [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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Choi HJ, Inn YW, Jhon MS. Effect of temperature on polymer migration II: Concentration equation. KOREAN J CHEM ENG 1994. [DOI: 10.1007/bf02697459] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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Agarwal U, Dutta A, Mashelkar R. Migration of macromolecules under flow: the physical origin and engineering implications. Chem Eng Sci 1994. [DOI: 10.1016/0009-2509(94)80057-x] [Citation(s) in RCA: 101] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Crone RM, Jhon MS, Choi HJ. The concentration equation of polymer solution in nonhomogeneous flow field. J Mol Liq 1994. [DOI: 10.1016/0167-7322(94)00726-8] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Bhave AV, Armstrong RC, Brown RA. Kinetic theory and rheology of dilute, nonhomogeneous polymer solutions. J Chem Phys 1991. [DOI: 10.1063/1.460900] [Citation(s) in RCA: 86] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Milner ST. Hydrodynamics of semidilute polymer solutions. PHYSICAL REVIEW LETTERS 1991; 66:1477-1480. [PMID: 10043219 DOI: 10.1103/physrevlett.66.1477] [Citation(s) in RCA: 41] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Polymer conformation in an extensional flow with bead-wall hydrodynamic interaction. KOREAN J CHEM ENG 1988. [DOI: 10.1007/bf02697667] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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Öttinger HC. Consistently averaged hydrodynamic interaction for Rouse dumbbells: Translational diffusivity. J Chem Phys 1987. [DOI: 10.1063/1.453494] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Goh CJ, Atkinson JD, Phan‐Thien N. The flow of dilute polymer solution in a narrow channel. II. Plane Poiseuille flow. J Chem Phys 1985. [DOI: 10.1063/1.448921] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Goh CJ, Atkinson JD, Phan‐Thien N. The flow of dilute polymer solution in a narrow channel. I. The slip effect in simple shear flow. J Chem Phys 1985. [DOI: 10.1063/1.448476] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Goh CJ, Phan‐Thien N, Atkinson JD. On migration effects in circular Couette flow. J Chem Phys 1984. [DOI: 10.1063/1.447583] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Brunn PO. Polymer migration phenomena based on the general bead‐spring model for flexible polymers. J Chem Phys 1984. [DOI: 10.1063/1.446608] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Brunn PO. Nonuniform concentration profiles of dilute macromolecular solutions in rotational viscometric flows. J Chem Phys 1984. [DOI: 10.1063/1.447097] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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