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Application of Homotopy Analysis Method to the Unsteady Squeezing Flow of a Second-Grade Fluid between Circular Plates

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  • Mohammad Mehdi Rashidi
  • Abdul Majid Siddiqui
  • Mostafa Asadi

Abstract

We investigated an axisymmetric unsteady two-dimensional flow of nonconducting, incompressible second grade fluid between two circular plates. The similarity transformation is applied to reduce governing partial differential equation (PDE) to a nonlinear ordinary differential equation (ODE) in dimensionless form. The resulting nonlinear boundary value problem is solved using homotopy analysis method and numerical method. The effects of appropriate dimensionless parameters on the velocity profiles are studied. The total resistance to the upper plate has been calculated.

Suggested Citation

  • Mohammad Mehdi Rashidi & Abdul Majid Siddiqui & Mostafa Asadi, 2010. "Application of Homotopy Analysis Method to the Unsteady Squeezing Flow of a Second-Grade Fluid between Circular Plates," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-18, December.
  • Handle: RePEc:hin:jnlmpe:706840
    DOI: 10.1155/2010/706840
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