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On thin film flow of a third-grade fluid down an inclined plane

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Abstract

An exact solution for the thin film flow of a third-grade fluid on an inclined plane is presented. This is a corrected version of the solution obtained by Hayat et al. (Chaos Solitons Fractals 38:1336–1341, 2008). An alternative parametric form for the solution is also derived. The variation of the dimensionless velocity and average velocity is given for a wide range of parameter values. An asymptotic solution for large parameter values is obtained giving rise to a boundary-layer structure at the free surface.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Tiruchirappalli, 620 015, Tamil Nadu, India

    V. Kumaran & R. Tamizharasi

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

    J. H. Merkin

  3. Department of Mathematics, University of Central Florida, Orlando, FL, USA

    K. Vajravelu

Authors
  1. V. Kumaran
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  2. R. Tamizharasi
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  3. J. H. Merkin
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  4. K. Vajravelu
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Corresponding author

Correspondence to J. H. Merkin.

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Kumaran, V., Tamizharasi, R., Merkin, J.H. et al. On thin film flow of a third-grade fluid down an inclined plane. Arch Appl Mech 82, 261–266 (2012). https://doi.org/10.1007/s00419-011-0554-8

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  • DOI: https://doi.org/10.1007/s00419-011-0554-8

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