Motion of a spherical solid particle in Couette flow: exact solution vs. homotopy perturbation approximation with and without Pade approximants

2012/09/16 by Tarek M. A. El-Mistikawy, El-Mistikawy, Tarek M. A.
Engineering · #76T99 #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Granular flow and fluidized beds #Mathematical Physics (math-ph) #Particle Dynamics in Fluid Flows

paper · pdf · doi:10.48550/arxiv.1209.3462

openalex publication_date 2012/09/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The motion of a spherical solid particle in plane Couette flow is governed by a linear problem that has a simple exact solution. As such, there is no need for an approximate analytical representation of the solution; specially when it is tedious, complicated, and requires hairy terms to give accurate results only at small or moderate values of the time.

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