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Venkatesh RB, Lee D. Conflicting Effects of Extreme Nanoconfinement on the Translational and Segmental Motion of Entangled Polymers. Macromolecules 2022. [DOI: 10.1021/acs.macromol.2c00145] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- R. Bharath Venkatesh
- Department of Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, United States
| | - Daeyeon Lee
- Department of Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, Pennsylvania 19104, United States
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2
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Regulagadda K, Gerber J, Schutzius TM, Poulikakos D. Microscale investigation on interfacial slippage and detachment of ice from soft materials. MATERIALS HORIZONS 2022; 9:1222-1231. [PMID: 35179537 PMCID: PMC8978807 DOI: 10.1039/d1mh01993g] [Citation(s) in RCA: 5] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/10/2021] [Accepted: 02/07/2022] [Indexed: 06/13/2023]
Abstract
Surface icing is detrimental to applications ranging from transportation to biological systems. Soft elastomeric coatings can engender remarkably low ice adhesion strength, but mechanisms at the microscale and resulting ice extraction outcomes need to be understood. Here we investigate dynamic ice-elastomer interfacial events and show that the ice adhesion strength can actually vary by orders of magnitude due to the shear velocity. We study the detailed deformation fields of the elastomer using confocal traction force microscopy and elucidate the underlying mechanism. The elastomer initially undergoes elastic deformation having a shear velocity dependent threshold, followed by partial relaxation at the onset of slip, where velocity dependent "stick-slip" micropulsations are observed. The results of the work provide important information for the design of soft surfaces with respect to removal of ice, and utility to fields exemplified by adhesion, contact mechanics, and biofouling.
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Affiliation(s)
- Kartik Regulagadda
- Laboratory of Thermodynamics in Emerging Technologies, Department of Mechanical and Process Engineering, ETH Zurich, Sonneggstrasse 3, Zurich CH-8092, Switzerland.
| | - Julia Gerber
- Laboratory of Thermodynamics in Emerging Technologies, Department of Mechanical and Process Engineering, ETH Zurich, Sonneggstrasse 3, Zurich CH-8092, Switzerland.
| | - Thomas M Schutzius
- Laboratory for Multiphase Thermofluidics and Surface Nanoengineering, Department of Mechanical and Process Engineering, ETH Zurich, Sonneggstrasse 3, Zurich CH-8092, Switzerland.
| | - Dimos Poulikakos
- Laboratory of Thermodynamics in Emerging Technologies, Department of Mechanical and Process Engineering, ETH Zurich, Sonneggstrasse 3, Zurich CH-8092, Switzerland.
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3
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Rheological Properties Related to Extrusion of Polyolefins. Polymers (Basel) 2021; 13:polym13040489. [PMID: 33557292 PMCID: PMC7914999 DOI: 10.3390/polym13040489] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/10/2021] [Revised: 01/28/2021] [Accepted: 01/30/2021] [Indexed: 11/22/2022] Open
Abstract
Rheological properties related to the extrusion of polyolefins are the shear viscosity, the elongational viscosity, the slip velocity and their temperature- and pressure-dependencies. These properties are measured in the rheology lab mainly via a parallel-plate rheometer and a capillary rheometer. Then appropriate rheological models have to be used to account for all these properties. Such models are either viscous (e.g., the Cross model) or viscoelastic (e.g., the K-BKZ model). The latter gives the best fitting of the experimental data and offers excellent results in numerical simulations, especially in extrusion flows. Wall slip effects are also found and measured by rheometric flows. Modeling of extrusion flows should make use of appropriate slip models that take into effect the various slip parameters, including the effects of shear stress, molecular characteristics, temperature and pressure on the slip velocity. In this paper the importance of these properties in extrusion are discussed.
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4
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Masato D, Sorgato M, Batal A, Dimov S, Lucchetta G. Thin‐wall injection molding of polypropylene using molds with different laser‐induced periodic surface structures. POLYM ENG SCI 2019. [DOI: 10.1002/pen.25189] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
Affiliation(s)
- Davide Masato
- Department of Plastics EngineeringUniversity of Massachusetts Lowell Lowell Massachusetts
| | - Marco Sorgato
- Department of Industrial EngineeringUniversity of Padova Padova Italy
| | - Afif Batal
- Department of Mechanical EngineeringUniversity of Birmingham Birmingham UK
| | - Stefan Dimov
- Department of Mechanical EngineeringUniversity of Birmingham Birmingham UK
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5
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Malkin AY, Patlazhan SA. Wall slip for complex liquids - Phenomenon and its causes. Adv Colloid Interface Sci 2018; 257:42-57. [PMID: 29934140 DOI: 10.1016/j.cis.2018.05.008] [Citation(s) in RCA: 58] [Impact Index Per Article: 9.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/08/2018] [Revised: 05/27/2018] [Accepted: 05/28/2018] [Indexed: 11/28/2022]
Abstract
In this review, we tried to qualify different types and mechanisms of wall slip phenomenon, paying particular attention to the most recent publications and issues. The review covers all type of fluids - homogeneous low molecular weight liquids, polymer solution, multi-component dispersed media, and polymer melts. We focused on two basic concepts - fluid-solid wall interaction and shear-induced fluid-to-solid transitions - which are the dominant mechanisms of wall slip. In the first part of the review, the theoretical and numerical studies of correlation of wetting properties and wall slip of low molecular weight liquids and polymeric fluids are reviewed along with some basic experimental results. The influence of nanobubbles and microcavities on the effectiveness of wall slip is illuminated with regard to the bubble dynamics, as well as their stability at smooth and rough interfaces, including superhydrophobic surfaces. Flow of multi-component matter (microgel pastes, concentrated suspensions of solid particles, compressed emulsions, and colloidal systems) is accompanied by wall slip in two cases. The first one is typical of viscoplastic media which can exist in two different physical states, as solid-like below the yield point and liquid-like at the applied stresses exceeding this threshold. Slip takes place at low stresses. The second case is related to the transition from fluid to solid states at high deformation rates or large deformations caused by the strain-induced glass transition of concentrated dispersions. In the latter case, the wall effects consist of apparent slip due to the formation of a low viscous thin layer of fluid at the wall. The liquid-to-solid transition is also a dominant mechanism in wall slip of polymer melts because liquid polymers are elastic fluids which can be in two relaxation states depending on the strain rate. The realization of these mechanisms is determined by polymer melt interaction with the solid wall.
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Affiliation(s)
- A Ya Malkin
- Russian Academy of Sciences, Institute of Petrochemical Synthesis, 29, Leninski Prospect, Moscow 119991, Russia.
| | - S A Patlazhan
- Russian Academy of Sciences, Semenov Institute of Chemical Physics, 4, Kosygin Street, Moscow 119991, Russia; Russian Academy of Sciences, Institute of Problems of Chemical Physics, 1, Semenov Avenue, Chernogolovka, Moscow 142432, Russia
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6
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Xu L, Bandyopadhyay D, Reddy PDS, Sharma A, Joo SW. Giant Slip Induced Anomalous Dewetting of an Ultrathin Film on a Viscous Sublayer. Sci Rep 2017; 7:14776. [PMID: 29116103 PMCID: PMC5676695 DOI: 10.1038/s41598-017-14861-4] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/19/2017] [Accepted: 09/25/2017] [Indexed: 11/23/2022] Open
Abstract
A 'giant' slip dynamics was engineered to a highly confined interface of a dewetting polymethylmethacrylate (PMMA) ultrathin film by introducing a lubricating viscous polystyrene (PS) sublayer. The crossover of regimes from no-slip to giant-slip was engendered by tuning the viscosity and thickness of the sublayer. A long-range hole-rim interaction with increase in slippage on the PMMA-PS interface transformed the circular holes on the PMMA surface into the noncircular faceted ones. The extent of the slippage and the transition of the length scales from slip-dominated to no-slip regime were evaluated using a general linear stability analysis. The proposed formulation provided an analytical tool to evaluate the slippage effective at the soft and deformable liquid-liquid interfaces.
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Affiliation(s)
- Lin Xu
- Laboratory of Surface Physics and Chemistry, Guizhou Education University, Guiyang, 550018, P. R. China
| | - Dipankar Bandyopadhyay
- Department of Chemical Engineering, Indian Institute of Technology Guwahati, Guwahati, 781039, India.
| | | | - Ashutosh Sharma
- Department of Chemical Engineering, Indian Institute of Technology Kanpur, Kanpur, 208016, India.
| | - Sang Woo Joo
- School of Mechanical Engineering, Yeungnam University, Gyongsan, 712-749, South Korea.
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7
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Zhang Y, Fuentes CA, Koekoekx R, Clasen C, Van Vuure AW, De Coninck J, Seveno D. Spreading Dynamics of Molten Polymer Drops on Glass Substrates. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2017; 33:8447-8454. [PMID: 28767248 DOI: 10.1021/acs.langmuir.7b01500] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Wetting dynamics drive numerous processes involving liquids in contact with solid substrates with a wide range of geometries. The spreading dynamics of organic liquids and liquid metals at, respectively, room temperature and >1000 °C have been studied extensively, both experimentally and numerically; however, almost no attention has been paid to the wetting behavior of molten drops of thermoplastic polymers, despite its importance, for example, in the processing of fiber-reinforced polymer composites. Indeed, the ability of classical theories of dynamic wetting, that is, the hydrodynamic and the molecular-kinetic theories, to model these complex liquids is unknown. We have therefore investigated the spreading dynamics on glass, over temperatures between 200 and 260 °C, of two thermoplastics: polypropylene (PP) and poly(vinylidene fluoride) (PVDF). PP and PVDF showed, respectively, the highest and lowest slip lengths due to their different interactions with the glass substrate. The jump lengths of PP and PVDF are comparable to their Kuhn segment lengths, suggesting that the wetting process of these polymers is mediated by segmental displacements. The present work not only provides evidence of the suitability of the classical models to model dynamic wetting of molten polymers but also advances our understanding of the wetting dynamics of molten thermoplastics at the liquid/solid interface.
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Affiliation(s)
- Yichuan Zhang
- Department of Materials Engineering, KU Leuven , 3001 Leuven, Belgium
- Laboratory of Surface and Interfacial Physics, Université de Mons , 7000 Mons, Belgium
| | - Carlos A Fuentes
- Department of Materials Engineering, KU Leuven , 3001 Leuven, Belgium
| | - Robin Koekoekx
- Department of Chemical Engineering, KU Leuven , 3001 Leuven, Belgium
| | - Christian Clasen
- Department of Chemical Engineering, KU Leuven , 3001 Leuven, Belgium
| | - Aart W Van Vuure
- Department of Materials Engineering, KU Leuven , 3001 Leuven, Belgium
| | - Joël De Coninck
- Laboratory of Surface and Interfacial Physics, Université de Mons , 7000 Mons, Belgium
| | - David Seveno
- Department of Materials Engineering, KU Leuven , 3001 Leuven, Belgium
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8
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Ebrahimi M, Konaganti VK, Moradi S, Doufas AK, Hatzikiriakos SG. Slip of polymer melts over micro/nano-patterned metallic surfaces. SOFT MATTER 2016; 12:9759-9768. [PMID: 27891538 DOI: 10.1039/c6sm02235a] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
The slip behavior of high-density polyethylenes (HDPEs) is studied over surfaces of different topology and surface energy. Laser ablation has been used to micro/nano-pattern the surface of dies in order to examine the effect of surface roughness on slip. In addition, fluoroalkyl silane-based coatings on smooth and patterned substrates were used to understand the effect of surface energy on slip. Surface roughness and surface energy effects were incorporated into the double reptation slip model (Ebrahimi et al., J. Rheol., 2015, 59, 885-901) in order to predict the slip velocity of studied polymers on different substrates. It was found that for dies with rough surfaces, polymer melt penetrates into the cavities of the substrate (depending on the depth and the distance between the asperities), thus decreasing wall slip. On the other hand, silanization of the surface increases the slip velocity of polymers in the case of smooth die, although it has a negligible effect on rough dies. Interestingly, the slip velocity of the studied polymers on various substrates of different degrees of roughness and surface energy, were brought into a mastercurve by modifying the double reptation slip velocity model.
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Affiliation(s)
- Marzieh Ebrahimi
- Department of Chemical and Biological Engineering, The University of British Columbia, Vancouver, BC, Canada.
| | - Vinod Kumar Konaganti
- Department of Chemical and Biological Engineering, The University of British Columbia, Vancouver, BC, Canada.
| | - Sona Moradi
- Department of Chemical and Biological Engineering, The University of British Columbia, Vancouver, BC, Canada.
| | | | - Savvas G Hatzikiriakos
- Department of Chemical and Biological Engineering, The University of British Columbia, Vancouver, BC, Canada.
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9
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Affiliation(s)
- Andrew Gustafson
- Department of Physics and the Minnesota
Supercomputing Institute and ‡Department of
Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, United States
| | - David C. Morse
- Department of Physics and the Minnesota
Supercomputing Institute and ‡Department of
Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, Minnesota 55455, United States
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10
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Abstract
The classical no-slip boundary condition of fluid mechanics is not always a valid assumption for the flow of several classes of complex fluids including polymer melts, their blends, polymer solutions, microgels, glasses, suspensions and pastes. In fact, it appears that slip effect in these systems is the rule and not the exemption. The occurrence of slip complicates the analysis of rheological data, although it provides new opportunities to understand their behavior in restricted environments delineating additional molecular mechanisms i.e. entropic restrictions due to limitations in the number of molecular conformations. This article discusses these complexities and provides future research opportunities.
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Affiliation(s)
- Savvas G Hatzikiriakos
- Department of Chemical and Biological Engineering, The University of British Columbia, Vancouver, BC, Canada.
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11
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Sabzevari SM, Cohen I, Wood-Adams PM. Wall Slip of Tridisperse Polymer Melts and the Effect of Unentangled versus Weakly Entangled Chains. Macromolecules 2014. [DOI: 10.1021/ma501320d] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- S. Mostafa Sabzevari
- Department
of Mechanical and Industrial Engineering, Concordia University, Montreal, QC, Canada H3G 2J2
| | - Itai Cohen
- Department
of Physics, Cornell University, Ithaca, New York 14853, United States
| | - Paula M. Wood-Adams
- Department
of Mechanical and Industrial Engineering, Concordia University, Montreal, QC, Canada H3G 2J2
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12
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Sabzevari SM, Cohen I, Wood-Adams PM. Wall Slip of Bidisperse Linear Polymer Melts. Macromolecules 2014. [DOI: 10.1021/ma500451g] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- S. Mostafa Sabzevari
- Department of Mechanical and Industrial
Engineering, Concordia University, Montreal, QC, Canada
| | - Itai Cohen
- Department of Physics, Cornell University, Ithaca, New York 14853, United States
| | - Paula M. Wood-Adams
- Department of Mechanical and Industrial
Engineering, Concordia University, Montreal, QC, Canada
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13
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Liu G, Wang SQ. A Particle Tracking Velocimetric Study of Stress Relaxation Behavior of Entangled Polystyrene Solutions after Stepwise Shear. Macromolecules 2012. [DOI: 10.1021/ma3010026] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Gengxin Liu
- Department of Polymer Science, University of Akron, Akron, Ohio 44325
| | - Shi-Qing Wang
- Department of Polymer Science, University of Akron, Akron, Ohio 44325
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14
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15
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Shen B, Liang Y, Zhang C, Han CC. Shear-Induced Crystallization at Polymer–Substrate Interface: The Slippage Hypothesis. Macromolecules 2011. [DOI: 10.1021/ma200559f] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Bo Shen
- State Key Laboratory of Polymer Physics and Chemistry, Joint Laboratory of Polymer Science and Materials, Beijing National Laboratory for Molecular Sciences, Institute of Chemistry, Chinese Academy of Sciences, Beijing 100190, China
- Graduate School of Chinese Academy of Sciences, Beijing 100190, China
| | - Yongri Liang
- State Key Laboratory of Polymer Physics and Chemistry, Joint Laboratory of Polymer Science and Materials, Beijing National Laboratory for Molecular Sciences, Institute of Chemistry, Chinese Academy of Sciences, Beijing 100190, China
| | - Chenggui Zhang
- State Key Laboratory of Polymer Physics and Chemistry, Joint Laboratory of Polymer Science and Materials, Beijing National Laboratory for Molecular Sciences, Institute of Chemistry, Chinese Academy of Sciences, Beijing 100190, China
| | - Charles C. Han
- State Key Laboratory of Polymer Physics and Chemistry, Joint Laboratory of Polymer Science and Materials, Beijing National Laboratory for Molecular Sciences, Institute of Chemistry, Chinese Academy of Sciences, Beijing 100190, China
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16
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Ibar JP. The Great Myths of Rheology, Part II: Transient and Steady-State Melt Deformation: The Question of Melt Entanglement Stability. J MACROMOL SCI B 2010. [DOI: 10.1080/00222341003766433] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Affiliation(s)
- Jean-Pierre Ibar
- a IPREM—Laboratoire de Physique et Chimie des Polymeres , Universite de Pau et Pays de l'Adour , Pau, France
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17
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Wingert MJ, Shukla S, Koelling KW, Tomasko DL, Lee LJ. Shear Viscosity of CO2-Plasticized Polystyrene Under High Static Pressures. Ind Eng Chem Res 2009. [DOI: 10.1021/ie800896r] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/24/2023]
Affiliation(s)
- Maxwell J. Wingert
- Department of Chemical and Biomolecular Engineering, The Ohio State University, Columbus, Ohio 43210
| | - Shunahshep Shukla
- Department of Chemical and Biomolecular Engineering, The Ohio State University, Columbus, Ohio 43210
| | - Kurt W. Koelling
- Department of Chemical and Biomolecular Engineering, The Ohio State University, Columbus, Ohio 43210
| | - David L. Tomasko
- Department of Chemical and Biomolecular Engineering, The Ohio State University, Columbus, Ohio 43210
| | - L. James Lee
- Department of Chemical and Biomolecular Engineering, The Ohio State University, Columbus, Ohio 43210
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18
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Priezjev NV, Darhuber AA, Troian SM. Slip behavior in liquid films on surfaces of patterned wettability: comparison between continuum and molecular dynamics simulations. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2005; 71:041608. [PMID: 15903683 DOI: 10.1103/physreve.71.041608] [Citation(s) in RCA: 45] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/07/2004] [Indexed: 05/02/2023]
Abstract
We investigate the behavior of the slip length in Newtonian liquids subject to planar shear bounded by substrates with mixed boundary conditions. The upper wall, consisting of a homogenous surface of finite or vanishing slip, moves at a constant speed parallel to a lower stationary wall, whose surface is patterned with an array of stripes representing alternating regions of no shear and finite or no slip. Velocity fields and effective slip lengths are computed both from molecular dynamics (MD) simulations and solution of the Stokes equation for flow configurations either parallel or perpendicular to the stripes. Excellent agreement between the hydrodynamic and MD results is obtained when the normalized width of the slip regions, a/sigma greater than or approximately equal O (10) , where sigma is the (fluid) molecular diameter characterizing the Lennard-Jones interaction. In this regime, the effective slip length increases monotonically with a/sigma to a saturation value. For a/sigma less than or approximately O (10) and transverse flow configurations, the nonuniform interaction potential at the lower wall constitutes a rough surface whose molecular scale corrugations strongly reduce the effective slip length below the hydrodynamic results. The translational symmetry for longitudinal flow eliminates the influence of molecular scale roughness; however, the reduced molecular ordering above the wetting regions of finite slip for small values of a/sigma increases the value of the effective slip length far above the hydrodynamic predictions. The strong correlation between the effective slip length and the liquid structure factor representative of the first fluid layer near the patterned wall illustrates the influence of molecular ordering effects on slip in noninertial flows.
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Affiliation(s)
- Nikolai V Priezjev
- Microfluidic Research & Engineering Laboratory, School of Engineering & Applied Science, Princeton University, Princeton, New Jersey 08544, USA
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19
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Adelizzi EA, Troian SM. Interfacial slip in entrained soap films containing associating hydrosoluble polymer. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2004; 20:7482-7492. [PMID: 15323492 DOI: 10.1021/la035480x] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
Frankel's law predicts that the thickness of a Newtonian soap film entrained at small capillary number scales as Ca2/3 provided the bounding surfaces are rigid. Previous studies have shown that soap films containing low concentrations of high molecular weight (Mw) polymer can exhibit strong deviations from this scaling at low Ca, especially for associating surfactant-polymer solutions. We report results of extensive measurements by laser interferometry of the entrained film thickness versus Ca for the associating pair SDS/PEO over a large range in polymer molecular weight. Comparison of our experimental results to predictions of hydrodynamic models based on viscoelastic behavior shows poor agreement. Modification of the Frankel derivation by an interfacial slip condition yields much improved agreement. These experiments also show that the slip length increases as where zeta = 0.58 +/- 0.07. This correlation is suggestive of the Tolstoi-Larsen prediction that the slip length increases in proportion to the characteristic size of the fluid constituent despite its original derivation for liquid-solid interfaces.
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Affiliation(s)
- Eric A Adelizzi
- Microfluidic Research & Engineering Laboratory, Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08544, USA
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20
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Kargupta K, Sharma A, Khanna R. Instability, dynamics, and morphology of thin slipping films. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2004; 20:244-253. [PMID: 15745028 DOI: 10.1021/la035016s] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
Based on the linear stability and nonlinear simulations, we show that the surface instability, dynamics, and morphology of supported thin liquid films are profoundly altered by the presence of slippage on the substrate. A general dispersion equation for flow in slipping thin films is derived and simplified to identify three different regimes of slippage (weak, moderate, and strong) and obtain the length and time scales of instability in them. For illustration, the ubiquitous van der Waals interactions have been employed. Different regimes of slip-flow can be predicted based on a nondimensional parameter, xi, which is a function of slip length, film thickness, intermolecular potential, and interfacial tension. Two distinct transitions from weak to moderate slip and from moderate to strong slip occur at xiT1 approximately 0.01 and xiT2 approximately 500, respectively. More specifically, a decrease in film thickness causes transitions from weak to moderate to strong slip regime. Even a weak slippage causes faster breakup of a thin film, whereas slippage beyond a transition value (slip length, bT1) increases the length scale of instability and reduces the number density of holes compared to the nonslipping case. Strong slippage produces holes faster, and the holes are fewer in number and have less developed rims. The exponents for the length scale (lambdam infinity h0n; h0 is film thickness) and time scale of instability (tr infinity h0m) change nonmonotonically with slippage (for nonretarded van der Waals instability, n E (1.25, 2), m E (3, 6)). Retardation in van der Waals potential increases the exponents (n E (1.5, 2.5), m E (5, 8)). The initial stage of evolution of a slipping film, simulated based on nonlinear equations, follows the length scale and time scale of instability, close to the prediction of linear analysis. It is hoped that the present analysis will help in better interpretation of thin film experiments, in estimation of slippage, and in the determination of intermolecular forces from the length and time scales of the instability.
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Affiliation(s)
- Kajari Kargupta
- Department of Chemical Engineering, Jadavpur University, Kolkata-700032, India.
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21
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Léger L, Hervet H, Charitat T, Koutsos V. The stick–slip transition in highly entangled poly(styrene-butadiene) melts. Adv Colloid Interface Sci 2001. [DOI: 10.1016/s0001-8686(01)00054-9] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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24
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Geoghegan M, Clarke CJ, Boué F, Menelle A, Russ T, Bucknall DG. The Kinetics of Penetration of Grafted Polymers into a Network. Macromolecules 1999. [DOI: 10.1021/ma982020f] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- M. Geoghegan
- Laboratoire Léon Brillouin CEA-CNRS, CE-Saclay, F-91191 Gif-sur-Yvette Cedex, France, Fakultät für Physik, Universität Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany, Polymers and Colloids Group, Cavendish Laboratory, Madingley Road, University of Cambridge, Cambridge CB3 0HE, U.K., and Rutherford Appleton Laboratory, Chilton, Didcot, Oxfordshire OX11 0QX, U.K
| | - C. J. Clarke
- Laboratoire Léon Brillouin CEA-CNRS, CE-Saclay, F-91191 Gif-sur-Yvette Cedex, France, Fakultät für Physik, Universität Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany, Polymers and Colloids Group, Cavendish Laboratory, Madingley Road, University of Cambridge, Cambridge CB3 0HE, U.K., and Rutherford Appleton Laboratory, Chilton, Didcot, Oxfordshire OX11 0QX, U.K
| | - F. Boué
- Laboratoire Léon Brillouin CEA-CNRS, CE-Saclay, F-91191 Gif-sur-Yvette Cedex, France, Fakultät für Physik, Universität Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany, Polymers and Colloids Group, Cavendish Laboratory, Madingley Road, University of Cambridge, Cambridge CB3 0HE, U.K., and Rutherford Appleton Laboratory, Chilton, Didcot, Oxfordshire OX11 0QX, U.K
| | - A. Menelle
- Laboratoire Léon Brillouin CEA-CNRS, CE-Saclay, F-91191 Gif-sur-Yvette Cedex, France, Fakultät für Physik, Universität Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany, Polymers and Colloids Group, Cavendish Laboratory, Madingley Road, University of Cambridge, Cambridge CB3 0HE, U.K., and Rutherford Appleton Laboratory, Chilton, Didcot, Oxfordshire OX11 0QX, U.K
| | - T. Russ
- Laboratoire Léon Brillouin CEA-CNRS, CE-Saclay, F-91191 Gif-sur-Yvette Cedex, France, Fakultät für Physik, Universität Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany, Polymers and Colloids Group, Cavendish Laboratory, Madingley Road, University of Cambridge, Cambridge CB3 0HE, U.K., and Rutherford Appleton Laboratory, Chilton, Didcot, Oxfordshire OX11 0QX, U.K
| | - D. G. Bucknall
- Laboratoire Léon Brillouin CEA-CNRS, CE-Saclay, F-91191 Gif-sur-Yvette Cedex, France, Fakultät für Physik, Universität Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany, Polymers and Colloids Group, Cavendish Laboratory, Madingley Road, University of Cambridge, Cambridge CB3 0HE, U.K., and Rutherford Appleton Laboratory, Chilton, Didcot, Oxfordshire OX11 0QX, U.K
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25
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Affiliation(s)
- Vijay Mhetar
- Department of Chemical Engineering, Texas A&M University, College Station, Texas 77843
| | - L. A. Archer
- Department of Chemical Engineering, Texas A&M University, College Station, Texas 77843
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