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Non-similar solution for the axisymmetric flow of a third-grade fluid over a radially stretching sheet

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Summary

The problem of axisymmetric flow of a third grade fluid over a radially stretching sheet is studied. By means of similarity transformation, the governing non-linear partial differential equations are reduced to a non-linear ordinary differential equation. The ordinary differential equation is analytically solved using homotopy analysis method (HAM). The solution for the velocity is obtained. The series solution is developed and the convergence of the results is discussed. Finally, the results are discussed with various graphs.

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Authors and Affiliations

  1. Theoretical Plasma Physics Division, PINSTECH, P.O. Nilore, Islamabad, 44000, Pakistan

    M. Sajid

  2. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan

    T. Hayat & S. Asghar

  3. COMSATS Institute of Information Technology, H-8, Islamabad, 44000, Pakistan

    S. Asghar

Authors
  1. M. Sajid
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  2. T. Hayat
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  3. S. Asghar
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Correspondence to T. Hayat.

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Sajid, M., Hayat, T. & Asghar, S. Non-similar solution for the axisymmetric flow of a third-grade fluid over a radially stretching sheet. Acta Mechanica 189, 193–205 (2007). https://doi.org/10.1007/s00707-006-0430-8

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  • DOI: https://doi.org/10.1007/s00707-006-0430-8

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