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Numerical study on bi-phase coupled stress fluid in the presence of Hafnium and metallic nanoparticles over an inclined plane

A. Zeeshan (Department of Mathematics and Statistics, FBAS, IIUI, Islamabad, Pakistan)
R. Ellahi (Center for Modeling and Computer Simulation, Research Institute, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia and Department of Mathematics and Statistics, FBAS, IIUI, Islamabad, Pakistan)
F. Mabood (School of Information Technology, Fanshawe College, London, Canada)
F. Hussain (Department of Mathematics and Statistics, FBAS, IIUI, Islamabad, Pakistan and Department of Mathematics, FABS, BUITEMS, Quetta, Pakistan)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 11 July 2019

Issue publication date: 11 September 2019

Abstract

Purpose

The purpose of this study is to examine the simultaneous effects of Hafnium particles and partially submerged metallic particles for the flow of bi-phase coupled stress fluid over an inclined flat plane.

Design/methodology/approach

An unflinching free stream flow that stretches far from the surface of the plane with the possibility of containing some partially submerged metallic particles is considered. Innovative model has been proposed and designed using Runge–Kutta–Fehlberg method.

Findings

The findings show that the drag force resists the couple stress fluid, whereas the Newtonian flow is supported by increasing the velocity. For both types of flows, movement of the particle is retarded gradually against the drag force coefficient.

Originality/value

To the best of the authors’ knowledge, this model is reported for the first time.

Keywords

Citation

Zeeshan, A., Ellahi, R., Mabood, F. and Hussain, F. (2019), "Numerical study on bi-phase coupled stress fluid in the presence of Hafnium and metallic nanoparticles over an inclined plane", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 29 No. 8, pp. 2854-2869. https://doi.org/10.1108/HFF-11-2018-0677

Publisher

:

Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited