Fictitious Fluid Approach and Anomalous Blow-up of the Dissipation Rate in a Two-Dimensional Model of Concentrated Suspensions
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[1] Leonid Berlyand,et al. Network Approximation in the Limit of¶Small Interparticle Distance of the¶Effective Properties of a High-Contrast¶Random Dispersed Composite , 2001 .
[2] A. Provenzale,et al. Suspension and fall of heavy particles in random two-dimensional flow. , 2003, Physical review letters.
[3] Andrea Mammoli,et al. Migration of particles undergoing pressure-driven flow in a circular conduit , 1997 .
[4] R. Semiat,et al. Slow viscous flows of highly concentrated suspensions—Part I: Laser-Doppler velocimetry in rectangular ducts , 1997 .
[5] L. Berlyand,et al. Fictitious Fluid Approach and Anomalous Blow-up of the Dissipation Rate in a 2D Model of Concentrated Suspensions , 2006, math/0608671.
[6] Joseph B. Keller,et al. Conductivity of a Medium Containing a Dense Array of Perfectly Conducting Spheres or Cylinders or Nonconducting Cylinders , 1963 .
[7] J. R. Abbott,et al. A constitutive equation for concentrated suspensions that accounts for shear‐induced particle migration , 1992 .
[8] A. Chow,et al. Shear‐induced particle migration in Couette and parallel‐plate viscometers: NMR imaging and stress measurements , 1994 .
[9] B. Maury. Regular Article: Direct Simulations of 2D Fluid-Particle Flows in Biperiodic Domains , 1999 .
[10] L. G. Leal,et al. An experimental study of the motion of concentrated suspensions in two-dimensional channel flow. Part 1. Monodisperse systems , 1998, Journal of Fluid Mechanics.
[11] H. Hasimoto. On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres , 1959, Journal of Fluid Mechanics.
[12] Samuel R. Subia,et al. Modelling of concentrated suspensions using a continuum constitutive equation , 1998, Journal of Fluid Mechanics.
[13] I. Aranson,et al. Concentration dependence of the collective dynamics of swimming bacteria. , 2007, Physical review letters.
[14] L. Berlyand,et al. TRANSPORT PROPERTIES OF DENSELY PACKED COMPOSITES. EFFECT OF SHAPES AND SPACINGS OF INCLUSIONS , 2004 .
[15] Alexander Panchenko,et al. Network Approximation for Effective Viscosity of Concentrated Suspensions with Complex Geometry , 2005, SIAM J. Math. Anal..
[16] R. Semiat,et al. Slow viscous flows of highly concentrated suspensions—Part II: Particle migration, velocity and concentration profiles in rectangular ducts , 1997 .
[17] John F. Brady,et al. Accelerated Stokesian Dynamics simulations , 2001, Journal of Fluid Mechanics.
[18] A. Einstein. Eine neue Bestimmung der Moleküldimensionen , 1905 .
[19] L. Leal,et al. Laminar flow and convective transport processes : scaling principles and asymptotic analysis , 1992 .
[20] T. N. Stevenson,et al. Fluid Mechanics , 2021, Nature.
[21] L. G. Leal,et al. An experimental investigation of concentrated suspension flows in a rectangular channel , 1994, Journal of Fluid Mechanics.
[22] John F. Brady,et al. The rheology of concentrated suspensions of spheres in simple shear flow by numerical simulation , 1985, Journal of Fluid Mechanics.
[23] Mathematical and Numerical Modeling of 1-D and 2-D Consolidation , 2003 .
[24] S. Kozlov,et al. Geometric aspects of averaging , 1989 .
[25] G. Batchelor,et al. An Introduction to Fluid Dynamics , 1968 .
[26] Alexei Novikov,et al. Discrete network approximation for highly-packed composites with irregular geometry in three dimensions , 2005 .
[27] Roland Glowinski,et al. Numerical Simulation of the Sedimentation of Rigid Bodies in an Incompressible Viscous Fluid by Lagrange Multiplier/Fictitious Domain Methods Combined with the Taylor–Hood Finite Element Approximation , 2002, J. Sci. Comput..
[28] A. Graham. On the viscosity of suspensions of solid spheres , 1981 .
[29] Alexei Novikov,et al. Error of the Network Approximation for Densely Packed Composites with Irregular Geometry , 2002, SIAM J. Math. Anal..
[30] J. Brady,et al. Pressure-driven flow of suspensions: simulation and theory , 1994, Journal of Fluid Mechanics.
[31] A. Acrivos,et al. On the viscosity of a concentrated suspension of solid spheres , 1967 .
[32] J. Mewis,et al. Flow-Induced Anisotropy and Reversible Aggregation in Two-Dimensional Suspensions , 2003 .
[33] James G. Berryman,et al. Matching pursuit for imaging high-contrast conductivity , 1999 .
[34] G. Téllez,et al. Renormalized charge in a two-dimensional model of colloidal suspension from hypernetted chain approach. , 2007, The Journal of chemical physics.
[35] Jesper Oppelstrup,et al. Consolidation of concentrated suspensions – shear and irreversible floc structure rearrangement , 2001 .
[36] L. Gary Leal,et al. An experimental study of the motion of concentrated suspensions in two-dimensional channel flow. Part 2. Bidisperse systems , 1998, Journal of Fluid Mechanics.
[37] J. Zasadzinski,et al. Viscosity of two-dimensional suspensions. , 2002, Physical review letters.
[38] Florian Theil,et al. Validity and Failure of the Cauchy-Born Hypothesis in a Two-Dimensional Mass-Spring Lattice , 2002, J. Nonlinear Sci..
[39] D. Acheson. Elementary Fluid Dynamics , 1990 .
[40] Liliana Borcea,et al. Network Approximation for Transport Properties of High Contrast Materials , 1998, SIAM J. Appl. Math..
[41] R. Temam,et al. Navier-Stokes equations: theory and numerical analysis: R. Teman North-Holland, Amsterdam and New York. 1977. 454 pp. US $45.00 , 1978 .
[42] Lisa Ann Mondy,et al. Experimental observations of particle migration in concentrated suspensions: Couette flow , 1991 .
[43] Leonid Berlyand,et al. Strong and weak blow-up of the viscous dissipation rates for concentrated suspensions , 2007, Journal of Fluid Mechanics.
[44] Marcel Lesieur,et al. A numerical investigation of the coherent vortices in turbulence behind a backward-facing step , 1993, Journal of Fluid Mechanics.
[45] Mark E. J. Newman,et al. The Structure and Function of Complex Networks , 2003, SIAM Rev..
[46] D. Ingham,et al. Steady suspension flows into two-dimensional horizontal and inclined channels , 1996 .
[47] Andreas Acrivos,et al. Measurement of shear-induced self-diffusion in concentrated suspensions of spheres , 1987, Journal of Fluid Mechanics.
[48] Joseph B. Keller,et al. Effective viscosity of a periodic suspension , 1984, Journal of Fluid Mechanics.
[49] A. Libchaber,et al. Particle diffusion in a quasi-two-dimensional bacterial bath. , 2000, Physical review letters.
[50] Liliana Borcea,et al. Asymptotic Analysis of Quasi-Static Transport in High Contrast Conductive Media , 1998, SIAM J. Appl. Math..
[51] A. Ladd. Sedimentation of homogeneous suspensions of non-Brownian spheres , 1997 .