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

Research output: Contribution to journalArticle

9 Citations (Scopus)

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
StatePublished - May 1 2013

Fingerprint

Thin Film Flow
Non Newtonian flow
Adomian Decomposition Method
Non-Newtonian Fluid
Steady Flow
Vertical
Decomposition
Thin films
Slip
Fluids
Drainage
Maxwell Fluid
Flow of fluids
Numerical methods
Viscosity
Stokes
Velocity Field
Fluid Flow
Nonlinear Problem
Numerical Methods

All Science Journal Classification (ASJC) codes

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

Cite this

Alam, M. K. ; Rahim, M. T. ; Avital, E. J. ; Islam, S. ; Siddiqui, A. M. ; Williams, J. J.R. / Solution of the steady thin film flow of non-Newtonian fluid on vertical cylinder using Adomian Decomposition Method. In: Journal of the Franklin Institute. 2013 ; Vol. 350, No. 4. pp. 818-839.
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Solution of the steady thin film flow of non-Newtonian fluid on vertical cylinder using Adomian Decomposition Method. / Alam, M. K.; Rahim, M. T.; Avital, E. J.; Islam, S.; Siddiqui, A. M.; Williams, J. J.R.

In: Journal of the Franklin Institute, Vol. 350, No. 4, 01.05.2013, p. 818-839.

Research output: Contribution to journalArticle

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AU - Alam, M. K.

AU - Rahim, M. T.

AU - Avital, E. J.

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AU - Siddiqui, A. M.

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AB - 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.

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