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

Z.A. Zaidi; S.U. Jan; Naveed Ahmed; Umar Khan; Syed Tauseef Mohyud-Din

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

Autori

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

Parole chiave:

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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Pubblicato

2013-12-31

Come citare

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. Recuperato da https://journals.uniurb.it/index.php/ijpam/article/view/6153