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Local similar solutions for flow of an oldroyd-b nanofluid with activation energy

Sadia Rashid (Quaid-I-Azam University, Islamabad, Pakistan)
Tasawar Hayat (Quaid-I-Azam University, Islamabad, Pakistan)
Sumaira Qayyum (Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan)
Muhammad Ayub (Department of Mathematics, Quaid-i-Azam University, Islamabad, 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: 5 August 2019

Abstract

Purpose

The purpose of this paper is to examine outcome of activation energy in rotating flow of an Oldroyd-B nano liquid.

Design/methodology/approach

Flow is generated due to stretched surface. Binary chemical reaction is studied. Brownian and thermophoresis effects are considered. The system of nonlinear ordinary differential equations is derived. Convergent series solutions are obtained by homotopy analysis method. The resulting expressions for velocities, temperature and concentration are computed for different embedded parameters.

Findings

It is found that velocities f′ and g  have decreasing effect when rotation parameter is enhanced. Brownian and thermophoresis are increasing functions of temperature and concentration. The physical quantities are sketched and discussed numerically. Concentration and temperature fields show decreasing behavior via Brownian and thermophoresis parameters.

Originality/value

Authors investigate the Rotating flow of Oldroyd-B nano fluid with chemical reactions. This work is not done yet in literature.

Keywords

Acknowledgements

The authors are grateful to Higher Education Commission (HEC) of Pakistan for financial support of this work under the project number No. 20-3038/NRPU/R&D/HEC/13.

Citation

Rashid, S., Hayat, T., Qayyum, S., Ayub, M. and Alsaedi, A. (2019), "Local similar solutions for flow of an oldroyd-b nanofluid with activation energy", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 29 No. 8, pp. 2911-2931. https://doi.org/10.1108/HFF-12-2018-0755

Publisher

:

Emerald Publishing Limited

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