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Flow of variable thermal conductivity fluid due to inclined stretching cylinder with viscous dissipation and thermal radiation

Applied Mathematics and Mechanics volume 35, pages 717–728 (2014)Cite this article

Abstract

The aim of the present study is to investigate the flow of the Casson fluid by an inclined stretching cylinder. A heat transfer analysis is carried out in the presence of thermal radiation and viscous dissipation effects. The temperature dependent thermal conductivity of the Casson fluid is considered. The relevant equations are first simplified under usual boundary layer assumptions, and then transformed into ordinary differential equations by suitable transformations. The transformed ordinary differential equations are computed for the series solutions of velocity and temperature. A convergence analysis is shown explicitly. Velocity and temperature fields are discussed for different physical parameters by graphs and numerical values. It is found that the velocity decreases with the increase in the angle of inclination while increases with the increase in the mixed convection parameter. The enhancement in the thermal conductivity and radiation effects corresponds to a higher fluid temperature. It is also found that heat transfer is more pronounced in a cylinder when it is compared with a flat plate. The thermal boundary layer thickness increases with the increase in the Eckert number. The radiation and variable thermal conductivity decreases the heat transfer rate at the surface.

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Authors and Affiliations

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

    T. Hayat & S. Asad

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

    T. Hayat & A. Alsaedi

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

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Hayat, T., Asad, S. & Alsaedi, A. Flow of variable thermal conductivity fluid due to inclined stretching cylinder with viscous dissipation and thermal radiation. Appl. Math. Mech.-Engl. Ed. 35, 717–728 (2014). https://doi.org/10.1007/s10483-014-1824-6

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  • DOI: https://doi.org/10.1007/s10483-014-1824-6

Key words

  • Casson fluid
  • thermal radiation
  • variable thermal conductivity
  • inclined stretching cylinder

Chinese Library Classification

  • O361.3

2010 Mathematics Subject Classification

  • 76A05
  • 76E25