Hydrodynamic changes of the depletion layer of dilute polymer solutions near a wall
✍ Scribed by Juan José De Pablo; Hans Christian Öttinger; Yitzhak Rabin
- Publisher
- American Institute of Chemical Engineers
- Year
- 1992
- Tongue
- English
- Weight
- 848 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0001-1541
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✦ Synopsis
Abstract
The system studied in this work is a dilute solution of rod‐like molecules under simple shear flow and near a hard wall. The time evolution of the probability density function is described by a diffusion equation; particle trajectories that correspond to this equation are generated by stochastic methods. Several algorithms are presented to handle the constraints imposed by the presence of the wall. In good agreement with recent experimental work on xanthan solutions, for high shear rates we observe an increase in the thickness of the depletion layer near the wall. For low to intermediate shear rates, however, we find a transient decrease of the depletion layer thickness that has not been observed experimentally. Based on the results of our simulations, we present a simple procedure to determine a few, well defined characteristic parameters from the experimental density profiles.
📜 SIMILAR VOLUMES
Harris, and Corrsin ( 2 ) have measured turbulence properties in a nearly homogeneous shear flow where far downstream of a shear-turbulence generator, the turbulence has reached a nearly homogeneous asymptotic condition with constant values of the mean velocity gradient and the one-point turbulence