VARIATION OF PARAMETERS METHOD FOR THIN FILM FLOW OF A THIRD GRADE FLUID DOWN AN INCLINED PLANE

Authors

  • Z.A. Zaidi HITEC University Taxila Cantt - Department of Mathematics
  • S.U. Jan COMSATS Institute of Information Technology University
  • Naveed Ahmed HITEC University Taxila Cantt - Department of Mathematics
  • Umar Khan HITEC University Taxila Cantt - Department of Mathematics
  • Syed Tauseef Mohyud-Din HITEC University Taxila Cantt - Department of Mathematics

Keywords:

non-Newtonian fluid, thin film flow, nonlinear equation, inclined plane, Variation of Parameters Method (VPM)

Abstract

Thin film Flow of a third grade fluid down an inclined plane is considered.  Nonlinear differential equation which governs the flow model is obtained by using laws of conservation along with suitable similarity transforms.  Variation of Parameters Method (VPM) is then employed to solve aforementioned differential equation.  Analytical solution is backed by RK-4 numerical solution and both show excellent agreement.  Effects of flow parameters β and m on velocity field are demonstrated graphically with comprehensive discussions. 

Cover of n°31 Italian Journal of Pure and Applied Mathematics

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Published

2013-12-31

How to Cite

Zaidi, Z., Jan, S., Ahmed, N., Khan, U., & Mohyud-Din, S. T. (2013). VARIATION OF PARAMETERS METHOD FOR THIN FILM FLOW OF A THIRD GRADE FLUID DOWN AN INCLINED PLANE. Italian Journal of Pure and Applied Mathematics, 31, 161–168. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6153

Issue

N°31 - December 2013

Section

Articoli - Forum Editrice

License

Copyright (c) 2013 Z.A. Zaidi, S.U. Jan, Naveed Ahmed, Umar Khan, Syed Tauseef Mohyud-Din

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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