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Effectiveness of improved Fourier-Fick laws in a stratified non-Newtonian fluid with variable fluid characteristics

Muhammad Waqas (NUTECH School of Applied Sciences and Humanities, National University of Technology, Islamabad, Pakistan)
Saira Naz (Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan)
Tasawar Hayat (Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan and Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia)
Sabir Ali Shehzad (Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Pakistan)
Ahmed 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: 3 June 2019

Issue publication date: 11 June 2019

124

Abstract

Purpose

The purpose of this paper is to introduce the concept of improved Fourier–Fick laws subjected to variable fluid characteristics. Flow analysis in the stagnation region of Oldroyd-B fluid is elaborated. Heat generation is present.

Design/methodology/approach

Optimal homotopy analysis method is used to obtain convergent solutions.

Findings

The outcomes reveal reduction in penetration depths of temperature and concentration due to involvement of thermal and solutal relaxation times of fluxes.

Originality/value

As per the authors’ knowledge, such analysis has not yet been reported.

Keywords

Citation

Waqas, M., Naz, S., Hayat, T., Shehzad, S.A. and Alsaedi, A. (2019), "Effectiveness of improved Fourier-Fick laws in a stratified non-Newtonian fluid with variable fluid characteristics", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 29 No. 6, pp. 2128-2145. https://doi.org/10.1108/HFF-12-2018-0716

Publisher

:

Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited

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