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Influence of Cattaneo-Christov heat flux in flow of an Oldroyd-B fluid with variable thermal conductivity

Fahad Munir Abbasi (Department of Mathematics, Comsats Institute of Information Technology, Islamabad, Pakistan)
Sabir Ali Shehzad (Department of Mathematics, Comsats Institute of Information Technology, Sahiwal, Pakistan)
T. Hayat (Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan and Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia)
A. Alsaedi (Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia)
A. Hegazy (Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 5 September 2016

131

Abstract

Purpose

The purpose of this paper is to introduce the Cattaneo-Christov heat flux model for an Oldroyd-B fluid.

Design/methodology/approach

Cattaneo-Christov heat flux model is utilized for the heat transfer analysis instead of Fourier’s law of heat conduction. Analytical solutions of nonlinear problems are computed.

Findings

The authors found that the temperature is decreased with an increase in relaxation time of heat flux but temperature gradient is enhanced.

Originality/value

No such analysis exists in the literature yet.

Keywords

Acknowledgements

The authors are grateful to the reviewers for their useful suggestions. This project is funded by the Deanship of Scientific Research (DSR) King Abdulaziz University, Jeddah, Saudi Arabia under Grant No. 32-130-36-HiCi. The authors, therefore, acknowledge with thanks DSR.

Citation

Abbasi, F.M., Shehzad, S.A., Hayat, T., Alsaedi, A. and Hegazy, A. (2016), "Influence of Cattaneo-Christov heat flux in flow of an Oldroyd-B fluid with variable thermal conductivity", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 26 No. 7, pp. 2271-2282. https://doi.org/10.1108/HFF-06-2015-0257

Publisher

:

Emerald Group Publishing Limited

Copyright © 2016, Emerald Group Publishing Limited

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