Flow of couple stress fluid with variable thermal conductivity

doi:10.1007/s10483-016-2031-6

Abstract

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.

Key words: couple stress fluid, thermal radiation, variable thermal conductivity

2010 MSC Number:

74F05
80A20

S. ASAD, A. ALSAEDI, T. HAYAT. Flow of couple stress fluid with variable thermal conductivity. Applied Mathematics and Mechanics (English Edition), 2016, 37(3): 315-324.

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