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Impact of Cattaneo-Christov heat flux on flow of two-types viscoelastic fluid in Darcy-Forchheimer porous medium

Fahad Munir Abbasi (Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan)
Tasawar Hayat (Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan, and Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia)
Sabir Ali Shehzad (Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal, Pakistan)
Ahmed Alsaedi (Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 4 September 2017

86

Abstract

Purpose

The aim of this works is to characterize the role of Cattaneo?Christov heat flux in two-dimensional flows of second-grade and Walter’s liquid B fluid models.

Design/methodology/approach

In this study similarity transformations have been used to transform the system into ordinary ones. Numerical and analytical solutions are computed through homotopic algorithm and shooting technique.

Findings

The numerical values of temperature gradient are tabulated, and the temperature gradient reduces rapidly with enhancing values of the Darcy parameter, but this reduction is very slow for Forchheimer parameter.

Originality/value

No such analyses have been reported in the literature.

Keywords

Citation

Abbasi, F.M., Hayat, T., Shehzad, S.A. and Alsaedi, A. (2017), "Impact of Cattaneo-Christov heat flux on flow of two-types viscoelastic fluid in Darcy-Forchheimer porous medium", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 27 No. 9, pp. 1955-1966. https://doi.org/10.1108/HFF-07-2016-0292

Publisher

:

Emerald Publishing Limited

Copyright © 2017, Emerald Publishing Limited

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