Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt | Zendy

Taza Gul | Zendy; Saeed Islam | Zendy; Rehan Ali Shah | Zendy; Asma Khalid | Zendy; Ilyas Khan | Zendy; Sharidan Shafie | Zendy

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Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt

Author(s) -

Taza Gul,

Saeed Islam,

Rehan Ali Shah,

Asma Khalid,

Ilyas Khan,

Sharidan Shafie

Publication year - 2015

Publication title -

plos one

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.99

H-Index - 332

ISSN - 1932-6203

DOI - 10.1371/journal.pone.0126698

Subject(s) - magnetohydrodynamics , mechanics , physics , compressibility , partial differential equation , homotopy , boundary value problem , homotopy analysis method , flow (mathematics) , boundary layer , ordinary differential equation , fluid dynamics , mathematical analysis , incompressible flow , classical mechanics , mathematics , differential equation , nonlinear system , magnetic field , quantum mechanics , pure mathematics

This paper studies the unsteady magnetohydrodynamics (MHD) thin film flow of an incompressible Oldroyd-B fluid over an oscillating inclined belt making a certain angle with the horizontal. The problem is modeled in terms of non-linear partial differential equations with some physical initial and boundary conditions. This problem is solved for the exact analytic solutions using two efficient techniques namely the Optimal Homotopy Asymptotic Method (OHAM) and Homotopy Perturbation Method (HPM). Both of these solutions are presented graphically and compared. This comparison is also shown in tabular form. An excellent agreement is observed. The effects of various physical parameters on velocity have also been studied graphically.

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