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On some results of third-grade non-Newtonian fluid flow between two parallel plates

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Abstract.

In this paper, the main focus is to discuss the non-Newtonian third-grade fluid flow between two parallel plates. The mathematical model is consequent to the continuity and momentum equations. Three cases have been discussed such as the plane Couette flow, the plane Poiseuille flow and the last one is a plane Couette-Poiseuille flow. The modeled differential equations are converted into dimensionless form by suitable non-dimensional parameters, then they are solved by the variational iteration method (VIM). It is noticed that the variational iteration method is convenient to apply and is very helpful for finding solutions of a wide class of nonlinear problems.

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Authors and Affiliations

  1. Department of Mathematics, Riphah International University, Islamabad, Pakistan

    Kamran Ayub & M. Yaqub Khan

  2. Department of Mathematics, University of Wah, Wah Cantt., Pakistan

    Muhammad Ashraf & Qazi Mahmood-Ul-Hassan

  3. Department of Mathematics, University of Gujrat, Gujrat, Pakistan

    Jamshad Ahmad

Authors
  1. Kamran Ayub
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  2. M. Yaqub Khan
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  3. Muhammad Ashraf
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  4. Jamshad Ahmad
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  5. Qazi Mahmood-Ul-Hassan
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Correspondence to Qazi Mahmood-Ul-Hassan.

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Ayub, K., Yaqub Khan, M., Ashraf, M. et al. On some results of third-grade non-Newtonian fluid flow between two parallel plates. Eur. Phys. J. Plus 132, 552 (2017). https://doi.org/10.1140/epjp/i2017-11821-1

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  • DOI: https://doi.org/10.1140/epjp/i2017-11821-1

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