Solution of the steady thin film flow of non-Newtonian fluid on vertical cylinder using Adomian Decomposition Method

M. K. Alam, M. T. Rahim, E. J. Avital, S. Islam, A. M. Siddiqui, J. J.R. Williams

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Abstract

In this paper, the steady thin film flow on the outer surface of long vertical cylinder of non-Newtonian Johnson-Segalman fluid for lifting and drainage problems have been investigated. Adomian decomposition (ADM) and numerical methods are applied for the solutions of the non-linear problems. Expressions for the velocity field and average velocity have been derived for both the problems, respectively. For Weissenberg number We=0, we retrieve Newtonian cases for both the problems. We also obtain the results for Maxwell fluid by taking slip parameter a=1. We also discussed the effect of the Stokes number St, the Weissenberg number We, the ratio of viscosities φ and the slip parameter a on the fluid flows.

Original languageEnglish (US)
Pages (from-to)818-839
Number of pages22
JournalJournal of the Franklin Institute
Volume350
Issue number4
DOIs
Publication statusPublished - May 1 2013

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All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

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