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Axisymmetric stagnation-point flow and heat transfer due to a stretching/shrinking vertical plate with surface second-order velocity slip

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Abstract

The axisymmetric stagnation-point flow over a stretching/shrinking vertical surface with a second-order velocity slip and temperature jump is studied. By using a transformation of variables, the partial differential equations are transformed into ordinary (similarity) differential equations. These equations, along with the corresponding boundary conditions, are solved numerically using the boundary-value problems solver bvp4c in the Matlab software. Dual (first and second) solutions are found for these similarity equations arising from critical values of the dimensionless parameters. The effects of these parameters on the velocity and the temperature distributions as well as the skin friction coefficient and the Nusselt number are discussed. The dependence of the critical points on the governing parameters is also treated with the asymptotic nature of the solution for large values of the parameters being derived.

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Acknowledgments

The authors wish to express their thanks to the anonymous reviewers for their valuable comments and suggestions. AI acknowledges the financial support received from the Universiti Kebangsaan Malaysia (ProjectCode: DIP-2015-010).

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Authors and Affiliations

  1. Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA (UiTM), 40450, Shah Alam, Selangor, Malaysia

    Siti Khuzaimah Soid

  2. Department of Applied Mathematics, University of Leeds, Leeds, LS2 9JT, UK

    John Merkin

  3. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM), 43600, Bangi, Selangor, Malaysia

    Anuar Ishak

  4. Department of Mathematics, Babeş-Bolyai University, 400084, Cluj-Napoca, Romania

    Ioan Pop

Authors
  1. Siti Khuzaimah Soid
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  2. John Merkin
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  3. Anuar Ishak
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  4. Ioan Pop
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Correspondence to John Merkin.

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Soid, S.K., Merkin, J., Ishak, A. et al. Axisymmetric stagnation-point flow and heat transfer due to a stretching/shrinking vertical plate with surface second-order velocity slip. Meccanica 52, 139–151 (2017). https://doi.org/10.1007/s11012-016-0409-z

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  • DOI: https://doi.org/10.1007/s11012-016-0409-z

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