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Analytic and numerical solutions for axisymmetric flow with partial slip

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Abstract

This article deals with the slip effects on the axisymmetric flow of an electrically conducting viscous fluid in the presence of a magnetic field over a non-linear radially stretching sheet. By introducing new similarity transformations, the governing partial differential equations are reduced to an ordinary differential equation. The resulting ordinary differential equation is then solved analytically using the homotopy analysis method and numerically by shooting method to show the accuracy of the analytical solution. The significant effects of various parameters on velocity field are discussed in detail. The shear stress at the wall together with some other physical parameters is tabulated and compared with existing literature, which shows an excellent agreement.

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Authors and Affiliations

  1. Institut für Angewandte Mathematik, TU Dortmund, 44227, Dortmund, Germany

    Ramzan Ali

  2. University of Central Aisa, 720001, Bishkek, Kirgizistan

    Ramzan Ali

  3. Department of Basic Sciences, UET Taxila, Taxila, Pakistan

    Azeem Shahzad

  4. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

    Masood Khan

  5. Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, 22060, Pakistan

    Muhammad Ayub

Authors
  1. Ramzan Ali
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  2. Azeem Shahzad
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  3. Masood Khan
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  4. Muhammad Ayub
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Correspondence to Ramzan Ali.

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Ali, R., Shahzad, A., Khan, M. et al. Analytic and numerical solutions for axisymmetric flow with partial slip. Engineering with Computers 32, 149–154 (2016). https://doi.org/10.1007/s00366-015-0405-2

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  • DOI: https://doi.org/10.1007/s00366-015-0405-2

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