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Stretching or shrinking sheet problem for unsteady separated stagnation-point flow

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Abstract

A detailed study of the problem of unsteady separated stagnation-point flow toward a stretching or shrinking sheet is presented. By use of a similarity transformation, the partial differential equations are reduced to a system of ordinary differential equations which are then solved numerically by use of the collocation method. The bvp4c Matlab program is used to perform the computation. This method is capable of finding multiple solutions for the flow reattachment case. The streamlines of the separation flow are presented for the cases when the origins of the stagnation flow and the stretching sheet are aligned and non-aligned. Comparison with results from the open literature reveals excellent agreement.

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Acknowledgments

The first author (Y.Y. Lok) would like to acknowledge financial support received from Department of Higher Education, Ministry of Education Malaysia under the Fundamental Research Grant Scheme (Project Code: 203/PJJAUH/6711293). The support provided by Universiti Sains Malaysia is also acknowledged. The authors also wish to express very sincerely their thanks to the referees, especially the second very competent referee, for critical comments and valuable suggestions.

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Authors and Affiliations

  1. Mathematics Section, School of Distance Education, Universiti Sains Malaysia, 11800, Penang, Malaysia

    Y. Y. Lok

  2. Department of Mathematics, Babeş-Bolyai University, 400084, Cluj-Napoca, CP 253, Romania

    I. Pop

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  1. Y. Y. Lok
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  2. I. Pop
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Correspondence to Y. Y. Lok.

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Lok, Y.Y., Pop, I. Stretching or shrinking sheet problem for unsteady separated stagnation-point flow. Meccanica 49, 1479–1492 (2014). https://doi.org/10.1007/s11012-014-9932-y

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  • DOI: https://doi.org/10.1007/s11012-014-9932-y

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