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Flow of couple stress fluid with variable thermal conductivity

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Abstract

The steady flow and heat transfer of a couple stress fluid due to an inclined stretching cylinder are analyzed. The thermal conductivity is assumed to be temperature dependent. The governing equations for the flow and heat transfer are transformed into ordinary differential equations. Series solutions of the resulting problem are computed. The effects of various interested parameters, e.g., the couple stress parameter, the angle of inclination, the mixed convection parameter, the Prandtl number, the Reynolds number, the radiation parameter, and the variable thermal conductivity parameter, are illustrated. The skin friction coefficient and the local Nusselt number are computed and analyzed. It is observed that the heat transfer rate at the surface increases while the velocity and the shear stress decrease when the couple stress parameter and the Reynolds number increase. The temperature increases when the Reynolds number increases.

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Author information

Authors and Affiliations

  1. Department of Mathematics, COMSATS Institute of Information Technology, Wah Cantt, 47040, Pakistan

    S. Asad

  2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    A. Alsaedi

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

    T. Hayat

Authors
  1. S. Asad
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  2. A. Alsaedi
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  3. T. Hayat
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Correspondence to S. Asad.

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Asad, S., Alsaedi, A. & Hayat, T. Flow of couple stress fluid with variable thermal conductivity. Appl. Math. Mech.-Engl. Ed. 37, 315–324 (2016). https://doi.org/10.1007/s10483-016-2031-6

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  • DOI: https://doi.org/10.1007/s10483-016-2031-6

Keywords

Chinese Library Classification

2010 Mathematics Subject Classification

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