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Cattaneo-Christov heat flux model for third-grade fluid flow towards exponentially stretching sheet

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Abstract

The Cattaneo-Christov heat flux in the two-dimensional (2D) flow of a third-grade fluid towards an exponentially stretching sheet is investigated. The energy equation is considered through thermal relaxation. Similarity transformations are accounted to obtain the ordinary differential systems. The converted non-dimensional equations are solved for the series solutions. The convergence analysis of the computed solutions is reported. The graphical results of the velocity and temperature profiles are plotted and elaborated in detail. The results show that the thermal relaxation enhances the temperature gradient while reduces the temperature profile.

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Authors and Affiliations

  1. Department of Mathematics, Comsats Institute of Information Technology, Sahiwal, 57000, Pakistan

    S. A. Shehzad

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

    F. M. Abbasi

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

    T. Hayat

  4. NAAM Research Group, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    T. Hayat & B. Ahmad

Authors
  1. S. A. Shehzad
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  2. F. M. Abbasi
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  3. T. Hayat
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  4. B. Ahmad
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Correspondence to S. A. Shehzad.

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Shehzad, S.A., Abbasi, F.M., Hayat, T. et al. Cattaneo-Christov heat flux model for third-grade fluid flow towards exponentially stretching sheet. Appl. Math. Mech.-Engl. Ed. 37, 761–768 (2016). https://doi.org/10.1007/s10483-016-2088-6

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  • DOI: https://doi.org/10.1007/s10483-016-2088-6

Keywords

Chinese Library Classification

2010 Mathematics Subject Classification

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