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Analysis of Unsteady Axisymmetric Squeezing Fluid Flow with Slip and No-Slip Boundaries Using OHAM

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  • Mubashir Qayyum
  • Hamid Khan
  • M. Tariq Rahim
  • Inayat Ullah

Abstract

In this manuscript, An unsteady axisymmetric flow of nonconducting, Newtonian fluid squeezed between two circular plates is studied with slip and no-slip boundaries. Using similarity transformation, the system of nonlinear partial differential equations is reduced to a single fourth order ordinary differential equation. The resulting boundary value problems are solved by optimal homotopy asymptotic method (OHAM) and fourth order explicit Runge-Kutta method (RK4). It is observed that the results obtained from OHAM are in good agreement with numerical results by means of residuals. Furthermore, the effects of various dimensionless parameters on the velocity profiles are investigated graphically.

Suggested Citation

  • Mubashir Qayyum & Hamid Khan & M. Tariq Rahim & Inayat Ullah, 2015. "Analysis of Unsteady Axisymmetric Squeezing Fluid Flow with Slip and No-Slip Boundaries Using OHAM," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-11, February.
    • Handle: RePEc:hin:jnlmpe:860857
    DOI: 10.1155/2015/860857
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