Analytic approximate solutions for unsteady two-dimensional and axisymmetric squeezing flows between parallel plates
type: Item
instance of: scholarly article
title: Analytic approximate solutions for unsteady two-dimensional and axisymmetric squeezing flows between parallel plates
zbMATH Open document ID: 1163.76016
DOI: 10.1155/2008/935095
author: M. M. Rashidi
author: Hamed Shahmohamadi
author: Saeed Dinarvand
published in: Mathematical Problems in Engineering
publication date: 2009-06-11T00:00:00Z
full work available at URL: https://eudml.org/doc/55556
review text: Summary: We investigate the flow of a viscous incompressible fluid between two parallel plates due to the normal motion of the plates. The unsteady Navier-Stokes equations are reduced to a nonlinear fourth-order differential equation by using similarity solutions. Homotopy analysis method is used to solve this nonlinear equation analytically. The convergence of the obtained series solution is analyzed. The validity of our solutions is verified by the numerical results obtained by fourth-order Runge-Kutta method.
Mathematics Subject Classification ID: 76D08
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76M20
zbMATH DE Number: 5564128
zbMATH Keywords: homotopy analysis method
zbMATH Keywords: nonlinear fourth-order differential equation
zbMATH Keywords: convergence
zbMATH Keywords: series solution
zbMATH Keywords: fourth-order Runge-Kutta method
Wikidata QID: Q58646295
MaRDI profile type: Publication
OpenAlex ID: W1977708826
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description: scientific article; zbMATH DE number 5564128