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Application of the Legendre wavelets method to the parallel plate flow of a third grade fluid and forced convection in a porous duct

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Abstract.

A method based on Legendre wavelets is presented in this paper to discuss the flow of a third grade fluid between parallel plates and the forced convection in a porous duct. The flow problems are modeled in terms of integral equations which are then solved by the Legendre wavelets method. The comparison between present results and the existing solutions shows that the Legendre wavelets method is a powerful tool for solving nonlinear boundary value problems. We hope this method can be used for solving many interesting problems arising in non-Newtonian fluids.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, International Islamic University, 44000, Islamabad, Pakistan

    N. Ali, Mati Ullah & M. Sajid

  2. Department of Mathematics, Comsats Institute of Information Technology, 57000, Sahiwal, Pakistan

    S. U. Khan

Authors
  1. N. Ali
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  2. Mati Ullah
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  3. M. Sajid
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  4. S. U. Khan
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Correspondence to S. U. Khan.

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Ali, N., Ullah, M., Sajid, M. et al. Application of the Legendre wavelets method to the parallel plate flow of a third grade fluid and forced convection in a porous duct. Eur. Phys. J. Plus 132, 133 (2017). https://doi.org/10.1140/epjp/i2017-11423-y

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  • DOI: https://doi.org/10.1140/epjp/i2017-11423-y

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