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On the assessment of stationary points and uniform film thickness for the thin film flow of Sisko fluid model

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Abstract

The present investigation provides the assessment of stationary points and uniform film thickness for the thin film flow of Sisko fluid model on a vertically upwards moving belt. The conditions for the stationary points, uniform film thickness and net upwards flow are specified. It is observed that the locations of stationary points are shifted towards the belt with an increase in the fluid behaviour index, Sisko fluid parameter and Stokes number. The behaviour of uniform film thickness is investigated by giving certain realistic values to the fluid behaviour index and material constants. Furthermore as special cases, locations of the stationary points and uniform film thickness for the Newtonian fluid film are discussed.

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Authors and Affiliations

  1. Department of Mathematics, York Campus, Pennsylvania State University, York, PA, 17403, USA

    A. M. Siddiqui

  2. Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shehzad, Islamabad, Pakistan

    H. Ashraf & T. Haroon

Authors
  1. A. M. Siddiqui
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  2. H. Ashraf
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  3. T. Haroon
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Correspondence to H. Ashraf.

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Communicated by Tim Phillips.

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Siddiqui, A.M., Ashraf, H. & Haroon, T. On the assessment of stationary points and uniform film thickness for the thin film flow of Sisko fluid model. Theor. Comput. Fluid Dyn. 28, 635–649 (2014). https://doi.org/10.1007/s00162-014-0337-2

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  • DOI: https://doi.org/10.1007/s00162-014-0337-2

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