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Particle shape effects on Marangoni convection boundary layer flow of a nanofluid

R. Ellahi (Department of Mathematics and Statistics, FBAS, IIUI, Islamabad, Pakistan and Department of Mathematics Faculty of Science Taibah University, Madinah Munawwarah Kingdom of Saudi Arabia)
A. Zeeshan (Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad, Pakistan)
Mohsan Hassan (Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 5 September 2016

604

Abstract

Purpose

The purpose of this paper is to study the particle shape effects on Marangoni convection boundary layer flow of a nanofluid. The paper aims to discuss diverse issues befell for the said model.

Design/methodology/approach

The work undertaken is a blend of numerical and analytical studies. Analytical and numerical solutions of nonlinear coupled equations are developed by means of Mathematica package BVPh 2.0 based on the homotopy analysis method.

Findings

The velocity of nanofluid decreases by increasing particle volume friction and similarity parameters. With the increase in particle volume friction and similarity parameter, temperature profile is correspondingly enhanced and decline. The lowest velocity and highest temperature of nanofluid is cause by needle- and disc-shaped particle. Consequence for interface velocity and the surface temperature gradient are perceived by numeric set of results. It is found that the interface velocity is declined by increasing particle volume friction and volume concentration of ethylene glycol in the water. The minimum interface velocity is seen by needle-shaped particle and 30 percent concentrations of ethylene glycol. With increase in volume friction and size of particle, the behaviors of surface temperature gradient are found decreasing and increasing function, respectively. The maximum heat transfer rate at the surface is achieved when we chose sphere nanoparticles and 90 percent concentrations of ethylene glycol as compared to other shapes and concentrations.

Originality/value

This model is investigated for the first time, as the authors know.

Keywords

Acknowledgements

Mr Mohsan Hassan is grateful to the Higher Education Commission (HEC) Pakistan to award him indigenous scholarship for his PhD studies. R. Ellahi is also thankful to PCST to honor him with 7th top most Productive Scientist of Pakistan award in “Category A.”

Citation

Ellahi, R., Zeeshan, A. and Hassan, M. (2016), "Particle shape effects on Marangoni convection boundary layer flow of a nanofluid", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 26 No. 7, pp. 2160-2174. https://doi.org/10.1108/HFF-11-2014-0348

Publisher

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Emerald Group Publishing Limited

Copyright © 2016, Emerald Group Publishing Limited

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