A Model for the Depletion Layer Prediction in a Dilute Suspension of Rigid Rod-Like Particles under Shear Flows in the Entire Range of Peclet Numbers
We derived a model to predict the concentration profile, or the center-of-mass distribution, of rod-like particles near a wall under shear flows. Various excluded volume mechanisms of a rod near a wall for each Peclet number (a ratio of shear rate and diffusivity) regime were incorporated into the model through a steric factor concept. At low and moderate Peclet numbers, the steric factor is mainly determined by the ratio of the restricted/unrestricted rod orientation distributions. However, at high Peclet number, the ratio between the rod penetration time in a depletion layer and the Jeffery orbit frequency mainly affects the steric factor. The predicted concentration profiles showed a good agreement with the results from previous works.
S. Monjezi et al., "A Model for the Depletion Layer Prediction in a Dilute Suspension of Rigid Rod-Like Particles under Shear Flows in the Entire Range of Peclet Numbers," Chemical Engineering Science, vol. 189, pp. 394 - 400, Elsevier, Nov 2018.
The definitive version is available at https://doi.org/10.1016/j.ces.2018.05.059
Chemical and Biochemical Engineering
Keywords and Phrases
Microchannels; Peclet Number; Suspensions (Fluids); Depletion Layer; Excluded Volume Effects; Microchannel Flow; Orientation Distributions; Rod-Like Particles; Shear Flow
International Standard Serial Number (ISSN)
Article - Journal
© 2018 Elsevier, All rights reserved.
01 Nov 2018