Analytical solution of squeezing flow between two circular plates

M. M. Rashidi; A. M. Siddiqui; M. T. Rastegari

doi:10.1080/15502287.2012.698698

Analytical solution of squeezing flow between two circular plates

M. M. Rashidi, A. M. Siddiqui, M. T. Rastegari

Penn State York

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

In this study, the problem of unsteady squeezing flow between circular parallel plates is performed. The similarity transformation is applied to reduce a governing partial differential equation (PDE) to a nonlinear ordinary differential equation (ODE) in dimensionless form. A new method, called the homotopy analytical method (HAM), is applied to obtain approximate analytical solution of this nonlinear equation. The obtained solutions, in comparison with the numerical solutions (fourth-order Runge-Kutta scheme), admit a remarkable accuracy.

Original language	English (US)
Pages (from-to)	342-349
Number of pages	8
Journal	International Journal for Computational Methods in Engineering Science and Mechanics
Volume	13
Issue number	5
DOIs	https://doi.org/10.1080/15502287.2012.698698
State	Published - Aug 1 2012

All Science Journal Classification (ASJC) codes

Computational Mechanics
Computational Mathematics

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10.1080/15502287.2012.698698

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AB - In this study, the problem of unsteady squeezing flow between circular parallel plates is performed. The similarity transformation is applied to reduce a governing partial differential equation (PDE) to a nonlinear ordinary differential equation (ODE) in dimensionless form. A new method, called the homotopy analytical method (HAM), is applied to obtain approximate analytical solution of this nonlinear equation. The obtained solutions, in comparison with the numerical solutions (fourth-order Runge-Kutta scheme), admit a remarkable accuracy.

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Analytical solution of squeezing flow between two circular plates

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