Solution of steady thin film flow of Johnson-Segalman fluid on a vertical moving belt for lifting and drainage problems using Adomian Decomposition Method

M. Kamran Alam, M. T. Rahim, T. Haroon, S. Islam, A. M. Siddiqui

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

The steady thin film flow on a vertical belt of a non-Newtonian Johnson-Segalman fluid for lifting and drainage problems are investigated in this paper. The analytical solutions of the non-linear problems are obtained by Adomian Decomposition Method (ADM) and Homotopy Perturbation Method (HPM). Expressions for the velocity profile, average velocity, volume flux, the belt speed of the lifting and the shear stress at the belt have been derived. 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. The manner in which the Stokes number St, Weissenberg number We, the ratio of viscosities φ and the slip parameter a affect the structure of the velocity profile for lifting and drainage problems are delineated. Comparison between the ADM solutions and Homotopy Perturbation Method (HPM) solutions are made.

Original languageEnglish (US)
Pages (from-to)10413-10428
Number of pages16
JournalApplied Mathematics and Computation
Volume218
Issue number21
DOIs
StatePublished - Jul 1 2012

Fingerprint

Thin Film Flow
Problem Decomposition
Adomian Decomposition Method
Steady Flow
Drainage
Homotopy Perturbation Method
Vertical
Velocity Profile
Decomposition
Fluid
Thin films
Slip
Fluids
Maxwell Fluid
Stokes
Shear Stress
Nonlinear Problem
Shear stress
Viscosity
Analytical Solution

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Applied Mathematics

Cite this

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title = "Solution of steady thin film flow of Johnson-Segalman fluid on a vertical moving belt for lifting and drainage problems using Adomian Decomposition Method",
abstract = "The steady thin film flow on a vertical belt of a non-Newtonian Johnson-Segalman fluid for lifting and drainage problems are investigated in this paper. The analytical solutions of the non-linear problems are obtained by Adomian Decomposition Method (ADM) and Homotopy Perturbation Method (HPM). Expressions for the velocity profile, average velocity, volume flux, the belt speed of the lifting and the shear stress at the belt have been derived. 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. The manner in which the Stokes number St, Weissenberg number We, the ratio of viscosities φ and the slip parameter a affect the structure of the velocity profile for lifting and drainage problems are delineated. Comparison between the ADM solutions and Homotopy Perturbation Method (HPM) solutions are made.",
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Solution of steady thin film flow of Johnson-Segalman fluid on a vertical moving belt for lifting and drainage problems using Adomian Decomposition Method. / Kamran Alam, M.; Rahim, M. T.; Haroon, T.; Islam, S.; Siddiqui, A. M.

In: Applied Mathematics and Computation, Vol. 218, No. 21, 01.07.2012, p. 10413-10428.

Research output: Contribution to journalArticle

TY - JOUR

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AU - Kamran Alam, M.

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AB - The steady thin film flow on a vertical belt of a non-Newtonian Johnson-Segalman fluid for lifting and drainage problems are investigated in this paper. The analytical solutions of the non-linear problems are obtained by Adomian Decomposition Method (ADM) and Homotopy Perturbation Method (HPM). Expressions for the velocity profile, average velocity, volume flux, the belt speed of the lifting and the shear stress at the belt have been derived. 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. The manner in which the Stokes number St, Weissenberg number We, the ratio of viscosities φ and the slip parameter a affect the structure of the velocity profile for lifting and drainage problems are delineated. Comparison between the ADM solutions and Homotopy Perturbation Method (HPM) solutions are made.

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