Numerical study on the effect of viscoelasticity on drop deformation in simple shear and 5:1:5 planar contraction/expansion microchannel

Journal of Non-Newtonian Fluid Mechanics - Tập 155 Số 1-2 - Trang 80-93 - 2008
Changkwon Chung1, Martien A. Hulsen2, Ju Min Kim3, Kyung Hyun Ahn1, Seung Jong Lee1
1School of Chemical and Biological Engineering, Seoul National University, Seoul 151-744, Republic of Korea
2Department of Mechanical Engineering, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands
3Department of Chemical Engineering, Ajou University, Suwon 443-749, Republic of Korea

Tóm tắt

Từ khóa


Tài liệu tham khảo

Champion, 2007, Particle shape: a new design parameter for micro- and nanoscale drug delivery carriers, J. Control. Release, 121, 3, 10.1016/j.jconrel.2007.03.022

Seo, 2005, Microfluidics: from dynamic lattices to periodic arrays of polymer disks, Langmuir, 21, 4773, 10.1021/la050070p

Pregibon, 2007, Multifunctional encoded particles for high-throughput biomolecule analysis, Science, 315, 1393, 10.1126/science.1134929

Dendukuri, 2006, Continuous-flow lithography for high-throughput microparticle synthesis, Nat. Mater., 5, 365, 10.1038/nmat1617

Dendukuri, 2005, Controlled synthesis of nonspherical microparticles using microfluidics, Langmuir, 21, 2113, 10.1021/la047368k

Collins, 2007, Control of serial microfluidic droplet size gradient by step-wise ramping of flow rates, Microfluid Nanofluid, 3, 19, 10.1007/s10404-006-0093-8

Tan, 2006, Monodispersed microfluidic droplet generation by shear focusing microfluidic device, Sens. Actuators B, 114, 350, 10.1016/j.snb.2005.06.008

Cheung, 2007, Direct patterning of composite biocompatible microstructures using microfluidics, Lab Chip, 7, 574, 10.1039/b700869d

Utracki, 1989

Stone, 1994, Dynamics of drop deformation and breakup in viscous fluids, Ann. Rev. Fluid Mech., 26, 65, 10.1146/annurev.fl.26.010194.000433

Rallison, 1984, The deformation of small viscous drops and bubbles in shear flows, Ann. Rev. Fluid Mech., 16, 45, 10.1146/annurev.fl.16.010184.000401

Hong, 2005, Strain hardening behavior of polymer blends with fibril morphology, Rheol. Acta, 45, 202, 10.1007/s00397-005-0015-9

Han, 1981

Verhulst, 2007, Drop shape dynamics of a Newtonian drop in a non-Newtonian matrix during transient and steady shear flow, J. Rheol., 51, 261, 10.1122/1.2426973

Yu, 2005, Theory of morphology evolution in mixtures of viscoelastic immiscible components, J. Rheol., 49, 215, 10.1122/1.1822929

Minale, 2004, Deformation of a non-Newtonian ellipsoidal drop in a non-Newtonian matrix: extension of Maffettone-Minale model, J. Non-Newton. Fluid Mech., 123, 151, 10.1016/j.jnnfm.2004.07.017

Maffettone, 2004, Ellipsoidal drop model for single drop dynamics with non-Newtonian fluids, J. Rheol., 48, 83, 10.1122/1.1626675

Greco, 2002, Drop deformation for non-Newtonian fluids in slow flows, J. Non-Newton. Fluid Mech., 107, 111, 10.1016/S0377-0257(02)00144-1

Taylor, 1934, The formation of emulsions in definable fields of flow, Proc. R. Soc. Lond. Ser. A, 146, 501, 10.1098/rspa.1934.0169

Khismatullin, 2006, Development and implementation of VOF-PROST for 3D viscoelastic liquid–liquid simulations, J. Non-Newton. Fluid Mech., 140, 120, 10.1016/j.jnnfm.2006.02.013

Chinyoka, 2005, Two-dimensional study of drop deformation under simple shear for Oldroyd-B liquids, J. Non-Newton. Fluid Mech., 130, 45, 10.1016/j.jnnfm.2005.07.005

Yue, 2005, Viscoelastic effects on drop deformation in steady shear, J. Fluid Mech., 540, 427, 10.1017/S0022112005006166

Yue, 2005, Transient drop deformation upon startup of shear in viscoelastic fluids, Phys. Fluids, 17, 1231011, 10.1063/1.2139630

Yue, 2004, A diffuse-interface method for simulating two-phase flows of complex fluids, J. Fluid Mech., 515, 293, 10.1017/S0022112004000370

Pillapakkam, 2001, A level-set method for computing solutions to viscoelastic two-phase flow, J. Comput. Phys., 174, 552, 10.1006/jcph.2001.6927

Hooper, 2001, Transient polymeric drop extension and retraction in uniaxial extensional flows, J. Non-Newton. Fluid Mech., 98, 141, 10.1016/S0377-0257(01)00112-4

Hooper, 2001, A comparison of boundary element and finite element methods for modeling axisymmetric polymeric drop deformation, Int. J. Numer. Meth. Fluids, 37, 837, 10.1002/fld.190

Sarkar, 2000, Deformation of a two-dimensional viscoelastic drop at non-zero Reynolds number in time-periodic extensional flows, J. Non-Newton. Fluid Mech., 95, 315, 10.1016/S0377-0257(00)00156-7

de Sousa, 2007, Numerical investigation on gas-displacement of a shear-thinning liquid and a visco-plastic material in capillary tubes, J. Non-Newton. Fluid Mech., 144, 149, 10.1016/j.jnnfm.2007.03.006

Malaga, 2007, A rising bubble in a polymer solution, J. Non-Newton. Fluid Mech., 141, 59, 10.1016/j.jnnfm.2006.07.012

Davidson, 2006, Pendant drop formation of shear-thinning and yield stress fluids, Appl. Math. Model., 30, 1392, 10.1016/j.apm.2006.03.016

Davidson, 2006, Simulations of pendant drop formation of a viscoelastic liquid, Korea-Aust. Rheol. J., 18, 41

Harvie, 2007, A parametric study of droplet deformation through a microfluidic contraction: shear thinning liquids, Int. J. Multiphase Flow, 33, 545, 10.1016/j.ijmultiphaseflow.2006.12.002

Khayat, 2000, Influence of shear and elongation on drop deformation in convergent–divergent flows, Int. J. Multiphase Flow, 26, 17, 10.1016/S0301-9322(98)00083-4

Harvie, 2006, A parametric study of droplet deformation through a microfluidic contraction: low viscosity Newtonian droplets, Chem. Eng. Sci., 61, 5149, 10.1016/j.ces.2006.03.011

Khayat, 1997, Boundary-element analysis of planar drop deformation in confined flow. Part 1. Newtonian fluids, Eng. Anal. Bound. Elem., 19, 279, 10.1016/S0955-7997(97)00040-4

Maffettone, 2005, Analysis of start-up dynamics of a single drop through an ellipsoidal drop model for non-Newtonian fluids, J. Non-Newton. Fluid Mech., 126, 145, 10.1016/j.jnnfm.2004.11.004

Guido, 2003, Deformation of a Newtonian drop in a viscoelastic matrix under steady shear flow—experimental validation of slow flow theory, J. Non-Newton. Fluid Mech., 114, 65, 10.1016/S0377-0257(03)00118-6

Lerdwijitjarud, 2003, Influence of weak elasticity of dispersed phase on droplet behavior in sheared polybutadiene/poly(dimethyl siloxane) blends, J. Rheol., 47, 37, 10.1122/1.1530623

Mighri, 1998, Influence of elastic properties on drop deformation and breakup in shear flow, J. Rheol., 42, 1477, 10.1122/1.550897

Aggarwal, 2007, Deformation and breakup of a viscoelastic drop in a Newtonian matrix under steady shear, J. Fluid Mech., 584, 1, 10.1017/S0022112007006210

Squires, 2005, Microfluidics: fluid physics at the nanoliter scale, Rev. Mod. Phys., 77, 977, 10.1103/RevModPhys.77.977

Cristini, 2004, Theory and numerical simulation of droplet dynamics in complex flows—a review, Lab Chip, 4, 257, 10.1039/B403226H

Unverdi, 1992, A front-tracking method for viscous, incompressible, multi-fluid flows, J. Comput. Phys., 100, 25, 10.1016/0021-9991(92)90307-K

Sethian, 2003, Level set methods for fluid interfaces, Annu. Rev. Fluid Mech., 35, 341, 10.1146/annurev.fluid.35.101101.161105

Shin, 2002, Modeling three-dimensional multiphase flow using a level contour reconstruction method for front tracking without connectivity, J. Comput. Phys., 180, 427, 10.1006/jcph.2002.7086

Sarkar, 2001, Deformation of a two-dimensional drop at non-zero Reynolds number in time-periodic extensional flows: numerical simulation, J. Fluid Mech., 436, 177, 10.1017/S0022112001004025

Tryggvason, 2001, A front-tracking method for the computations of multiphase flow, J. Comput. Phys., 169, 708, 10.1006/jcph.2001.6726

Liu, 1998, Viscoelastic flow of polymer solutions around a periodic, linear array of cylinders: comparisons of predictions for microstructure and flow fields, J. Non-Newton. Fluid Mech., 77, 153, 10.1016/S0377-0257(97)00067-0

Brooks, 1982, Streamline upwind Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations, Comput. Meth. Appl. Mech. Eng., 32, 199, 10.1016/0045-7825(82)90071-8

Hulsen, 2005, Flow of viscoelastic fluids past a cylinder at high Weissenberg number: stabilized simulations using matrix logarithms, J. Non-Newton. Fluid Mech., 127, 27, 10.1016/j.jnnfm.2005.01.002

Fattal, 2005, Time-dependent simulation of viscoelastic flows at high Weissenberg number using the log-conformation representation, J. Non-Newton. Fluid Mech., 126, 23, 10.1016/j.jnnfm.2004.12.003

Fattal, 2004, Constitutive laws for the matrix-logarithm of the conformation tensor, J. Non-Newton. Fluid Mech., 123, 281, 10.1016/j.jnnfm.2004.08.008

Ramirez, 2005, Size reduction methods for the implicit time-dependent simulation of micro–macro viscoelastic flow problems, J. Non-Newton. Fluid Mech., 127, 41, 10.1016/j.jnnfm.2005.02.002

Kim, 2004, An efficient iterative solver and high-resolution computations of the Oldroyd-B fluid flow past a confined cylinder, J. Non-Newton. Fluid Mech., 123, 161, 10.1016/j.jnnfm.2004.08.003

Baaijens, 1998, Mixed finite element methods for viscoelastic flow analysis: a review, J. Non-Newton. Fluid Mech., 79, 361, 10.1016/S0377-0257(98)00122-0

Georgiou, 1993, The simultaneous use of 4×4 and 2×2 bilinear stress elements for viscoelastic flows, Comput. Mech., 11, 341, 10.1007/BF00350092

Mittal, 2005, Immersed boundary methods, Annu. Rev. Fluid Mech., 37, 239, 10.1146/annurev.fluid.37.061903.175743

Peskin, 1977, Numerical-analysis of blood-flow in heart, J. Comput. Phys., 25, 220, 10.1016/0021-9991(77)90100-0

Millman, 1977

A. Vananroye, P.J.A. Janssen, P.D. Anderson, P. Van Puyvelde, P. Moldenaers, Microconfined equiviscous droplet deformation: comparison of experimental and numerical results, Phys. Fluids. 20 (2008) 013101-1-013101-10.

P.J.A. Janssen, P.D. Anderson, Boundary-integral method for drop deformation between parallel plates, Phys. Fluids. 19 (2007) 043602-1-043602-11.

V. Sibillo, G. Pasquariello, M. Simeone, V. Cristini, S. Guido, Drop deformation in microconfined shear flow, Phys. Rev. Lett. 97 (2006) 054502-1-054502-4.

Zhou, 1993, The flow of suspensions in channels—single files of drops, Phys. Fluids A, 5, 311, 10.1063/1.858893

Maffettone, 1998, Equation of change for ellipsoidal drops in viscous flow, J. Non-Newton. Fluid Mech., 78, 227, 10.1016/S0377-0257(98)00065-2

Chaffey, 1967, A second-order theory for shear deformation of drops, J. Colloid Interface Sci., 24, 258, 10.1016/0021-9797(67)90229-9

Macosko, 1994

T. Chinyoka, Numerical simulation of stratified flows and droplet deformation in 2D shear flow of Newtonian and viscoelastic fluids, PhD Thesis, Virginia Polytechnic Institute and State University, 2004.

J. Zhang, The dynamics of a viscous drop with a moving contact line, PhD Thesis, Northwestern University, 2003.

Bretherton, 1961, The motion of long bubbles in tubes, J. Fluid Mech., 10, 166, 10.1017/S0022112061000160