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Mixed convection flow of viscoelastic nanofluid by a cylinder with variable thermal conductivity and heat source/sink

T. Hayat (Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan and Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia)
M. Waqas (Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan)
Sabir Ali Shehzad (Department of Mathematics, Comsats Institute of Information Technology, Sahiwal, Pakistan)
A. Alsaedi (Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 4 January 2016

537

Abstract

Purpose

The purpose of this paper is to examine the effects of variable thermal conductivity in mixed convection flow of viscoelastic nanofluid due to a stretching cylinder with heat source/sink.

Design/methodology/approach

The authors have computed the existence of the solution for Walter’s B and second grade fluids corresponding to Pr=0.5 and Pr=1.5. Skin-friction coefficient, local Nusselt and Sherwood numbers are computed numerically for different values of emerging parameters.

Findings

A comparative study with the existing solutions in a limiting sense is made and analyzed. The authors found that the dimensionless velocity filed and momentum boundary layer thickness are increased when the values of viscoelastic parameter increase. The present non-Newtonian fluid flow reduces to the viscous flow in the absence of viscoelastic parameter. The larger values of viscoelastic parameter corresponds to the higher values of local Nusselt and Sherwood numbers.

Originality/value

No such analysis exists in the literature yet.

Keywords

Citation

Hayat, T., Waqas, M., Shehzad, S.A. and Alsaedi, A. (2016), "Mixed convection flow of viscoelastic nanofluid by a cylinder with variable thermal conductivity and heat source/sink", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 26 No. 1, pp. 214-234. https://doi.org/10.1108/HFF-02-2015-0053

Publisher

:

Emerald Group Publishing Limited

Copyright © 2016, Emerald Group Publishing Limited

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