Computer extended series solution of the circular porous slider
type: Item
instance of: scholarly article
title: Computer extended series solution of the circular porous slider
zbMATH Open document ID: 0782.76071
DOI: 10.1007/BF01175599
author: N. M. Bujurke
author: P. K. Achar
published in: Acta Mechanica
publication date: 1994-02-24T00:00:00Z
review text: A fluid of constant density is forced through the porous bottom of a circular slider which is moving laterally on a flat plane. The radius of the slider is assumed to be much larger than the gap width between the slider and the plane. The similarity transformations reduce the equations of motion to a set of nonlinear ordinary differential equations which are solved using a semi-analytical numerical technique for small as well as moderately large Reynolds numbers. In this method we develop the series expansions with polynomial coefficients of the solution function. We calculate few terms manually and invoke the series expansion (with polynomial coefficients) for obtaining a large number of terms in the perturbation series using a computer.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 482317
zbMATH Keywords: Pade approximants
zbMATH Keywords: convergence
zbMATH Keywords: constant density
zbMATH Keywords: similarity transformations
zbMATH Keywords: nonlinear ordinary differential equations
zbMATH Keywords: semi- analytical numerical technique
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 482317