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Comparison of Different Analytic Solutions to Axisymmetric Squeezing Fluid Flow between Two Infinite Parallel Plates with Slip Boundary Conditions

Author

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  • Hamid Khan
  • S. Islam
  • Javed Ali
  • Inayat Ali Shah

Abstract

We investigate squeezing flow between two large parallel plates by transforming the basic governing equations of the first grade fluid to an ordinary nonlinear differential equation using the stream functions ð ‘¢ ð ‘Ÿ ( ð ‘Ÿ , 𠑧 , ð ‘¡ ) = ( 1 / ð ‘Ÿ ) ( 𠜕 𠜓 / 𠜕 𠑧 ) and ð ‘¢ 𠑧 ( ð ‘Ÿ , 𠑧 , ð ‘¡ ) = − ( 1 / ð ‘Ÿ ) ( 𠜕 𠜓 / 𠜕 ð ‘Ÿ ) and a transformation 𠜓 ( ð ‘Ÿ , 𠑧 ) = ð ‘Ÿ 2 ð ¹ ( 𠑧 ) . The velocity profiles are investigated through various analytical techniques like Adomian decomposition method, new iterative method, homotopy perturbation, optimal homotopy asymptotic method, and differential transform method.

Suggested Citation

  • Hamid Khan & S. Islam & Javed Ali & Inayat Ali Shah, 2012. "Comparison of Different Analytic Solutions to Axisymmetric Squeezing Fluid Flow between Two Infinite Parallel Plates with Slip Boundary Conditions," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, February.
    • Handle: RePEc:hin:jnlaaa:835268
    DOI: 10.1155/2012/835268
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    Cited by:

    1. Ji-Huan He, 2012. "Asymptotic Methods for Solitary Solutions and Compactons," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Inayat Ullah & M. T. Rahim & Hamid Khan, 2014. "Application of Daftardar Jafari Method to First Grade MHD Squeezing Fluid Flow in a Porous Medium with Slip Boundary Condition," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. A. A. Hemeda & E. E. Eladdad, 2016. "Iterative Methods for Solving the Fractional Form of Unsteady Axisymmetric Squeezing Fluid Flow with Slip and No‐Slip Boundaries," Advances in Mathematical Physics, John Wiley & Sons, vol. 2016(1).

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