Open AccessUnsteady linear viscoelastic fluid model over a stretching/shrinking sheet in the region of stagnation point flows
Author(s) -
Yasir Khan,
Amjad Hussain,
Naeem Faraz
Publication year - 2012
Publication title -
scientia iranica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.299
H-Index - 51
eISSN - 2345-3605
pISSN - 1026-3098
DOI - 10.1016/j.scient.2012.10.019
Subject(s) - homotopy analysis method , stagnation point , stagnation temperature , mechanics , rotational symmetry , nonlinear system , mathematics , ordinary differential equation , viscoelasticity , flow (mathematics) , mathematical analysis , boundary layer , stagnation pressure , partial differential equation , homotopy , classical mechanics , physics , differential equation , heat transfer , thermodynamics , quantum mechanics , mach number , pure mathematics
In this paper, a mathematical model for the unsteady stagnation point flow of a linear viscoelastic fluid bounded by a stretching/shrinking sheet is presented. The developed equations are used to discuss the problem of two-dimensional and axisymmetric flows in the region of the stagnation point over a stretching/shrinking sheet and an axisymmetric shrinking sheet. The nonlinear partial differential equations are transformed to ordinary differential equations, first taking boundary layer approximations into account and then using similarity transformations. The resulting nonlinear problems are solved by a homotopy analysis approach. The significant features of the obtained series solutions are discussed by graphs. To the best of our knowledge, the homotopy analysis method solution for unsteady linear viscoelastic fluid over a stretching/shrinking sheet with stagnation point flow is presented for the first time in the literature