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Axisymmetric stagnation-point flow over a lubricated surface

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Summary

Axisymmetric stagnation-point flow is considered. A Newtonian fluid impinges orthogonally on a plane surface lubricated by a thin non-Newtonian liquid film of variable thickness. A slip-flow boundary condition is deduced, which allows for partial slip at the surface. The amount of slip, from full slip to no-slip, is controlled by a dimensionless slip coefficient. Similarity solutions are generally prohibited by the slip-flow boundary condition, except for one particular value of the power-law index of the lubricant. Solutions are presented for this case in order to demonstrate the influence of partial slip on the stagnation point flow. With increasing slip and reduced surface stress, a thinning of the viscous boundary layer is observed. The classical Homann flow is recovered in the no-slip limit.

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Authors and Affiliations

  1. Physics and Applied Mathematics Unit, Indian Statistical Institute, 203, B. T. Road, Calcutta, 700 108, India

    B. Santra & B. S. Dandapat

  2. Department of Energy and Process Engineering, The Norwegian University of Science and Technology, Trondheim, Norway

    H. I. Andersson

Authors
  1. B. Santra
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  2. B. S. Dandapat
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  3. H. I. Andersson
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Correspondence to B. S. Dandapat.

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Santra, B., Dandapat, B.S. & Andersson, H.I. Axisymmetric stagnation-point flow over a lubricated surface. Acta Mechanica 194, 1–10 (2007). https://doi.org/10.1007/s00707-007-0484-2

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  • DOI: https://doi.org/10.1007/s00707-007-0484-2

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