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Transient flows of Maxwell fluid with slip conditions

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Abstract

Two fundamental flows, namely, the Stokes and Couette flows in a Maxwell fluid are considered. The exact analytic solutions are derived in the presence of the slip condition. The Laplace transform method is employed for the development of such solutions. Limiting cases of no-slip and viscous fluids can be easily recovered from the present analysis. The behaviors of embedded flow parameters are discussed through graphs.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000, Pakistan

    T. Hayat, S. Zaib & S. A. Shehzad

  2. Department of Mathematics, Comsats Institute of Information Technology, Islamabad, 44000, Pakistan

    S. Asghar

  3. Department of Mathematics, University of Burdwan, Burdwan, 713104, India

    K. Bhattacharyya

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  1. T. Hayat
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  2. S. Zaib
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  3. S. Asghar
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  4. K. Bhattacharyya
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  5. S. A. Shehzad
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Correspondence to T. Hayat.

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Hayat, T., Zaib, S., Asghar, S. et al. Transient flows of Maxwell fluid with slip conditions. Appl. Math. Mech.-Engl. Ed. 34, 153–166 (2013). https://doi.org/10.1007/s10483-013-1660-8

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  • DOI: https://doi.org/10.1007/s10483-013-1660-8

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Chinese Library Classification

2010 Mathematics Subject Classification

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