NUMERCIAL FORMULATION AND SIMULATION OF A NON-NEWTONIAN MAGNETIC FLUID FLOW IN THE BOUNDARY LAYER OF A STRETCHING SHEET

Authors

1 semnan

2 mm

Abstract

Steady flow of a non-Newtonian fluid over a stretching sheet under influence of a constant transverse magnetic field has been investigated based on the power-law model. Velocity of the sheet varies linearly along the flow direction. PDE type equations of motion of fluid were transformed to a nonlinear ODE type equation using similarity transformation. A numerical scheme based on finite difference and shooting method has been proposed to solve the governing equations. Effects of characteristics of flow, fluid and magnetic field have been investigated. Results show that the magnetic field acts as a drag force and decreases the boundary layer thickness. Finally, considering the Newtonian model for a non-Newtonian fluid causes considerable errors up to 100% especially for the skin friction coefficient.

Keywords

References

 
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Journal of Modeling in Engineering
Volume 11, Issue 34
October 2013
Pages 77-85

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History

  • Receive Date: 28 January 2017
  • Revise Date: 25 September 2017
  • Accept Date: 28 January 2017

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