scholarly journals Cross-stream migration of a Brownian droplet in a polymer solution under Poiseuille flow

Soft Matter ◽  
2019 ◽  
Vol 15 (15) ◽  
pp. 3168-3178 ◽  
Author(s):  
Michael P. Howard ◽  
Thomas M. Truskett ◽  
Arash Nikoubashman
Keyword(s):  
Polymer Solution ◽  
Poiseuille Flow ◽  
Polymer Solutions ◽  
Dilute Polymer Solutions ◽  
Stream Migration ◽  
Pressure Driven Flow ◽  
Pressure Driven

Dilute polymer solutions under pressure-driven flow can drive cross-stream migration of a small Brownian droplet to the centerline of a planar microchannel.

Thermodynamics of Non-Dilute Polymer Solutions

1967 ◽  
Vol 40 (1) ◽  
pp. 1-35 ◽  
Author(s):  
D. Patterson
Keyword(s):  
Polymer Solution ◽  
Polymer Solutions ◽  
Solution Thermodynamics ◽  
General Interest ◽  
Chain Molecules ◽  
Dilute Polymer Solutions ◽  
Mathematical Problems ◽  
The Subject ◽  
Further Development ◽  
Θ Point

Abstract An excellent new text, “Macromolecules in Solution,” by A. Morawetz emphasizes advances in polymer solution thermodynamics since publication of standard texts such as those of Tompa and Flory. Detailed development of the subject from 1950 may be followed in articles on polymers in Annual Reviews of Physical Chemistry, and particularly in the articles appearing every three years specially devoted to solution properties: Flory and Krigbaum (1951), Wall and Hiller (1954), Hermans (1957), Casassa (1960) and Hughes and von Frankenberg (1963). The articles on solutions of non-electrolytes are, of course, always of general interest and often deal directly with polymer solutions or mixtures of chain molecules. Because of this very satisfactory situation, the author has decided that the best thing is to review in more detail the single topic which is most interesting to him. This is the thermodynamics of non-dilute solutions where it is usually supposed that the quasi-lattice theories of the 40's are quite adequate at concentrations greater than about 10 per cent. For fifteen years or so, interest has centered on very dilute polymer solutions and the dimensions of isolated polymer molecules, particularly at temperatures near the θ point. Increasingly difficult mathematical problems have followed the McMillan-Mayer comparison of solutions and imperfect gases first applied to polymer solutions by Zimm and Stockmayer. Polymer solution thermodynamics seems to have moved far beyond the intuitive questions of Meyer as to why a polymer solution differs from an ideal solution or from a mixture of a monomeric solute and solvent. However, certain results, apparently not very widely known, make one feel that such qualitative questions are not out of date and that the thermodynamics of concentrated polymer solutions may be open to much further development.

scholarly journals Pressure driven flow of polymer solutions in nanoscale slit pores

2007 ◽  
Vol 126 (12) ◽  
pp. 124905 ◽  
Author(s):  
Jaime A. Millan ◽  
Wenhua Jiang ◽  
Mohamed Laradji ◽  
Yongmei Wang
Keyword(s):  
Polymer Solutions ◽  
Slit Pores ◽  
Pressure Driven Flow ◽  
Pressure Driven

scholarly journals Driven Transport of Dilute Polymer Solutions through Porous Media Comprising Interconnected Cavities

2021 ◽  
Vol 5 (2) ◽  
pp. 22
Author(s):  
Karthik Nagarajan ◽  
Shing Bor Chen
Keyword(s):  
Molecular Weight ◽  
Porous Media ◽  
External Force ◽  
Polymer Solutions ◽  
Dissipative Particle Dynamics ◽  
Mean Velocity ◽  
Slip Boundary ◽  
Dilute Polymer Solutions ◽  
Linear Chains ◽  
Pressure Driven Flow

Driven transport of dilute polymer solutions through porous media has been simulated using a recently proposed novel dissipative particle dynamics method satisfying the no-penetration and no-slip boundary conditions. The porous media is an array of overlapping spherical cavities arranged in a simple cubic lattice. Simulations were performed for linear, ring, and star polymers with 12 arms for two cases with the external force acting on (I) both polymer and solvent beads to model a pressure-driven flow; (II) polymer beads only, similar to electrophoresis. When the external force is in the direction of a principal axis, the extent of change in the polymers’ conformation and their alignment with the driving force is more significant for case I. These effects are most pronounced for linear chains, followed by rings and stars at the same molecular weight. Moreover, the polymer mean velocity is affected by its molecular weight and architecture as well as the direction and strength of the imposed force.

Wall effects for dilute polymer solutions in poiseuille flow

1996 ◽  
Vol 34 (10) ◽  
pp. 1101-1109 ◽  
Author(s):  
R. Drouot ◽  
M. Berrajaa
Keyword(s):  
Poiseuille Flow ◽  
Polymer Solutions ◽  
Wall Effects ◽  
Dilute Polymer Solutions
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