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- Title
Simple Models for Wall Effect in Fiber Suspension Flows.
- Authors
Ozolins, Ansis; Strautins, Uldis
- Abstract
Jeffery's equation describes the dynamics of a non-inertial ellipsoidal particle immersed in a Stokes liquid and is used in various models of fiber suspension flow. However, it is not valid in close neighbourhood of a rigid wall. Geometrically impossible orientation states with the fiber penetrating the wall can result from this model. This paper proposes a modification of Jeffery's equation in close proximity to a wall so that the geometrical constraints are obeyed by the solution. A class of models differing in the distribution between the translational and rotational part of the response to the contact is derived. The model is upscaled to a Fokker–Planck equation. Another microscale model is proposed where recoiling from the wall upon the collision is permitted. Numerical examples illustrate the dynamics captured by the models.
- Subjects
NON-inertial frame; ELLIPSOIDS; PARTICLES; FIBERS; GEOMETRIC rigidity; FOKKER-Planck equation; NUMERICAL analysis
- Publication
Mathematical Modelling & Analysis, 2014, Vol 19, Issue 1, p75
- ISSN
1392-6292
- Publication type
Article
- DOI
10.3846/13926292.2014.893263