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Study of Two- Dimensional non-Newtonian Boundary Layer Flow Over a Permeable Wedge in Power Law Fluid Through Porous Media

  • Unique Paper ID: 170743
  • Volume: 5
  • Issue: 10
  • PageNo: 538-547
  • Abstract:
  • The present paper we give numerical solution of the Falkner-Skan equation for the study of two-dimensional permeable steady boundary-layer viscous flow over a flat plate in the presence of non-Newtonian power law fluid which is represented by a power law model. The outer free stream velocity is defined in the form of a power-law manner i.e., it varies as a power of a distance from the leading boundary-layer. Generalized similarity transformations are used to convert the the governing boundary layer equations in to a third order nonlinear differential equation which is famous Falkner- Skan equation for non-Newtonian fluid. This equation contains three flow parameters that is the Stream-wise pressure gradient ( ), the porous parameter ( ), and is the power law relation parrameter. The governing equations (nonlinear partial differential equations) have been converted to an equivalent nonlinear ordinary differential equation along with boundary conditions by means of which is solved using the Keller-box method. The results are obtained for velocity profiles, viscosity profiles and skin friction for various values of physical parameters and are discussed in detail. It is also found that the drag force is reduced for dilatant fluids compared to pseudo-plastic fluids. The Physical significance of the flow parameters are also discussed in detail.
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Cite This Article

  • ISSN: 2349-6002
  • Volume: 5
  • Issue: 10
  • PageNo: 538-547

Study of Two- Dimensional non-Newtonian Boundary Layer Flow Over a Permeable Wedge in Power Law Fluid Through Porous Media

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