Analytical solution of squeezing flow between two circular plates

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

Research output: Contribution to journalArticlepeer-review

11 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 languageEnglish (US)
Pages (from-to)342-349
Number of pages8
JournalInternational Journal of Computational Methods in Engineering Science and Mechanics
Volume13
Issue number5
DOIs
StatePublished - Aug 1 2012

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Computational Mathematics

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