scholarly journals Exact evaluation of the depletion force between nanospheres in a polydisperse polymer fluid under Θ conditions

2014 ◽  
Vol 140 (19) ◽  
pp. 194903 ◽  
Author(s):  
Haiqiang Wang ◽  
Clifford E. Woodward ◽  
Jan Forsman
Keyword(s):  
Polymer Fluid ◽  
Exact Evaluation ◽  
Polydisperse Polymer ◽  
Depletion Force

Many-body depletion forces of colloids in a polydisperse polymer dispersant in the long-chain limit

Soft Matter ◽  
2018 ◽  
Vol 14 (33) ◽  
pp. 6921-6928 ◽  
Author(s):  
Huy S. Nguyen ◽  
Jan Forsman ◽  
Clifford E. Woodward
Keyword(s):  
Many Body ◽  
Polymer Fluid ◽  
Polydisperse Polymer ◽  
Polymer Dispersant ◽  
Long Chain ◽  
Depletion Forces

We study a system of spherical non-adsorbing particles immersed in a polydisperse polymer fluid.

Vortex Stationary Karman Structures in Flows of a Rotating Incompressible Polymer Fluid

2020 ◽  
Vol 55 (7) ◽  
pp. 925-935
Author(s):  
A. M. Blokhin ◽  
R. E. Semenko
Keyword(s):  
Polymer Fluid

QELSS diffusion data for moderately broad molar mass distribution polymer samples compared with data from classical gradient techniques

1989 ◽  
Vol 54 (7) ◽  
pp. 1821-1829
Author(s):  
Bedřich Porsch ◽  
Simon King ◽  
Lars-Olof Sundelöf
Keyword(s):  
Diffusion Coefficient ◽  
Mass Distribution ◽  
Molar Mass ◽  
Molar Mass Distribution ◽  
Diffusion Data ◽  
Mass Distributions ◽  
Classical Diffusion ◽  
Polydisperse Polymer

The differences between the QELSS and classical diffusion coefficient of a polydisperse polymer resulting from distinct definitions of experimentally accessible average values are calculated for two assumed specific forms of molar mass distributions. Predicted deviations are compared with the experiment using NBS 706 standard polystyrene. QELSS Dz of this sample relates within 2-4% to the classical diffusion coefficient, if the Schulz-Zimm molar mass distribution is assumed to be valid. In general, differences between the height-area and QELSS diffusion coefficient of about 20% may be found for Mw/Mn ~ 2, and this value may increase above 35%, if strongly tailing molar mass distribution pertains to the sample.

scholarly journals An Incompressible Polymer Fluid Interacting with a Koiter Shell

2021 ◽  
Vol 31 (1) ◽  
Author(s):  
Dominic Breit ◽  
Prince Romeo Mensah
Keyword(s):  
Moving Boundary ◽  
Classical Model ◽  
Elastic Shell ◽  
Planck Equation ◽  
Navier Stokes ◽  
Flexible Shell ◽  
Navier Stokes Equation ◽  
Shell System ◽  
Forward Equation ◽  
Polymer Fluid

AbstractWe study a mutually coupled mesoscopic-macroscopic-shell system of equations modeling a dilute incompressible polymer fluid which is evolving and interacting with a flexible shell of Koiter type. The polymer constitutes a solvent-solute mixture where the solvent is modelled on the macroscopic scale by the incompressible Navier–Stokes equation and the solute is modelled on the mesoscopic scale by a Fokker–Planck equation (Kolmogorov forward equation) for the probability density function of the bead-spring polymer chain configuration. This mixture interacts with a nonlinear elastic shell which serves as a moving boundary of the physical spatial domain of the polymer fluid. We use the classical model by Koiter to describe the shell movement which yields a fully nonlinear fourth order hyperbolic equation. Our main result is the existence of a weak solution to the underlying system which exists until the Koiter energy degenerates or the flexible shell approaches a self-intersection.

scholarly journals Technical Note: Coccygeal vein catheterization for sampling of reproductive tract-derived products from the uterine–ovarian drainage

2021 ◽  
Vol 99 (2) ◽  
Author(s):  
Sydney T Reese ◽  
Gessica A Franco ◽  
Ramiro V Oliveira Filho ◽  
Reinaldo F Cooke ◽  
Michael F Smith ◽  
...  
Keyword(s):  
General Circulation ◽  
Reproductive Tract ◽  
Jugular Vein ◽  
Vena Cava ◽  
Technical Note ◽  
Sample Collection ◽  
Major Consequence ◽  
Exact Evaluation ◽  
Reproductive Processes ◽  
Vein Catheterization

Abstract Blood sample collection from the caudal vena cava at the site of uterine–ovarian drainage provides a more exact evaluation of the concentration and pattern of secretion of uterine or ovarian secreted products for studies of reproductive processes in cyclic and pregnant cattle compared with samples collected from general circulation. This paper describes a thorough and updated procedure for cannulating the coccygeal vein into the caudal vena cava for the collection of serial blood samples at or near the site of uterine–ovarian drainage. Concentrations of progesterone were quantified in cows of different reproductive tract sizes with an active corpus luteum to assess the distance for proper catheter placement compared with circulating concentrations collected from the jugular vein. This procedure has a low risk for side effects, can be used effectively in pregnant animals with no major consequence to the viability of the pregnancy, and provides means for frequent collections up to 12 d.

Exact Evaluation of Tricomi's Transonic Approximation

1964 ◽  
Vol 7 (11) ◽  
pp. 1772
Author(s):  
E. V. Laitone
Keyword(s):  
Exact Evaluation

Depletion force in colloidal systems

1995 ◽  
Vol 222 (1-4) ◽  
pp. 10-24 ◽  
Author(s):  
Y. Mao ◽  
M.E. Cates ◽  
H.N.W. Lekkerkerker
Keyword(s):  
Colloidal Systems ◽  
Depletion Force

Tunable depletion force in active and crowded environments

2021 ◽  
Vol 103 (2) ◽  
Author(s):  
Fane Feng ◽  
Ting Lei ◽  
Nanrong Zhao
Keyword(s):  
Depletion Force ◽  
Crowded Environments
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