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

Abstract

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.

Department(s)

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)

0009-2509

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2018 Elsevier, All rights reserved.

Publication Date

01 Nov 2018

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