title: Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt.
abstract: 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.
authors.affiliation: Mathematics Department, Abdul Wali Khan University, Mardan, KPK Pakistan.
authors.forename: Taza
authors.initials: T
authors.lastname: Gul
authors.affiliation: Mathematics Department, Abdul Wali Khan University, Mardan, KPK Pakistan.
authors.forename: Saeed
authors.initials: S
authors.lastname: Islam
authors.affiliation: Mathematics Department, University Engineering Technology (UET), Peshawar, KPK Pakistan.
authors.forename: Rehan Ali
authors.initials: RA
authors.lastname: Shah
authors.affiliation: Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai Johor, 81310, Malaysia.
authors.forename: Asma
authors.initials: A
authors.lastname: Khalid
authors.affiliation: Basic Sciences Department, College of Engineering, Majmaah University, P.O. Box 66, Majmaah, 11952, Saudi Arabia.
authors.forename: Ilyas
authors.initials: I
authors.lastname: Khan
authors.affiliation: Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai Johor, 81310, Malaysia.
authors.forename: Sharidan
authors.initials: S
authors.lastname: Shafie
mesh_terms: D057446:Hydrodynamics; D008280:Magnetics; D008962:Models, Theoretical