Hall Effect on Falkner—Skan Boundary Layer Flow of FENE-P Fluid over a Stretching Sheet

The Falkner—Skan boundary layer steady flow over a flat stretching sheet is investigated in this paper. The mathematical model consists of continuity and the momentum equations, while a new model is proposed for MHD Finitely Extensible Nonlinear Elastic Peterlin (FENE-P) fluid. The effects of Hall current with the variation of intensity of non-zero pressure gradient are taken into account. The governing partial differential equations are first transformed to ordinary differential equations using appropriate similarity transformation and then solved by Adomian decomposition method (ADM). The obtained results are validated by generalized collocation method (GCM) and found to be in good agreement. Effects of pertinent parameters are discussed through graphs and tables. Comparison with the existing studies is made as a limiting case of the considered problem at the end.

[1]  V. M. F. B.Sc.,et al.  LXXXV. Solutions of the boundary-layer equations , 1931 .

[2]  Marcel Crochet,et al.  Polymer solution characterization with the FENE-P model , 1998 .

[3]  S Nadeem,et al.  The Mathematical Analysis for Peristaltic Flow of Hyperbolic Tangent Fluid in a Curved Channel , 2013, Communications in Theoretical Physics.

[4]  Sohail Nadeem,et al.  Simulation of Variable Viscosity and Jeffrey Fluid Model for Blood Flow Through a Tapered Artery with a Stenosis , 2011 .

[5]  S. Nadeem,et al.  Thin Film Flow of a Second Grade Fluid over a Stretching/Shrinking Sheet with Variable Temperature-Dependent Viscosity , 2010 .

[6]  Mehdi Dehghan,et al.  Application of the Decomposition Method of Adomian for Solving the Pantograph Equation of Order m , 2010 .

[7]  G. Adomian.  A review of the decomposition method in applied mathematics , 1988 .

[8]  Mohammad Mehdi Rashidi,et al.  Buoyancy effect on MHD flow of nanofluid over a stretching sheet in the presence of thermal radiation , 2014 .

[9]  Eugen Magyari,et al.  Exact solutions for self-similar boundary-layer flows induced by permeable stretching walls , 2000 .

[10]  S. Khuri,et al.  On the generalized Falkner-Skan equation governing boundary layer flow of a FENE-P fluid , 2007, Appl. Math. Lett..

[11]  David O. Olagunju.  A self-similar solution for forced convection boundary layer flow of a FENE-P fluid , 2006, Appl. Math. Lett..

[12]  Mohammad Mehdi Rashidi,et al.  Analytical method for solving steady MHD convective and slip flow due to a rotating disk with viscous dissipation and Ohmic heating , 2012 .

[13]  Kumbakonam R. Rajagopal,et al.  A note on the falkner-skan flows of a non-newtonian fluid , 1983 .

[14]  H. A. Attia.  Unsteady Hartmann flow with heat transfer of a viscoelastic fluid considering the Hall effect , 2004 .

[15]  Sohail Nadeem,et al.  The Blood Flow of Prandtl Fluid Through a Tapered Stenosed Arteries in Permeable Walls with Magnetic Field , 2015 .

[16]  Sohail Nadeem,et al.  Endoscopic Effects on Peristaltic Flow of a Nanofluid , 2011 .

[17]  Sohail Nadeem,et al.  HAM solutions for boundary layer flow in the region of the stagnation point towards a stretching sheet , 2010 .

[18]  Mohammad Mehdi Rashidi,et al.  Analytic approximate solutions for unsteady two-dimensional and axisymmetric squeezing flows between parallel plates. , 2008 .

[19]  Bertrand Lods,et al.  Generalized Collocation Methods: Solutions to Nonlinear Problems , 2007 .

[20]  A. Peterlin.  Hydrodynamics of macromolecules in a velocity field with longitudinal gradient , 1966 .

[21]  Sohail Nadeem,et al.  Influence of induced magnetic field and heat transfer on the peristaltic motion of a Jeffrey fluid in an asymmetric channel: Closed form solutions , 2013 .

[22]  Kumbakonam R. Rajagopal,et al.  Flow of an Oldroyd-B fluid due to a stretching sheet in the presence of a free stream velocity , 1995 .

[23]  Mehdi Dehghan,et al.  Finding approximate solutions for a class of third-order non-linear boundary value problems via the decomposition method of Adomian , 2010, Int. J. Comput. Math..

[24]  T. Walker,et al.  Enhanced particle removal using viscoelastic fluids , 2014 .

[25]  M. Y. Malik,et al.  Flow of a Jeffery-Six Constant Fluid Between Coaxial Cylinders with Heat Transfer Analysis , 2011 .