Abstract

In this study, the transport of Al2O3 nanoparticles in ethylene glycol conventional fluid over a linearly stretching cylinder is investigated. The current research employs a convective surface boundary condition for heat transfer exploration. Flux model proposed by Rosseland is employed to examine effect of thermal radiations. The governing flow problem comprises highly nonlinear ordinary differential equations. Similarity transformations are used to reduce the equations in similar forms, which are then solved by Runge–Kutta–Fehlberg fourth-fifth order numerical scheme with shooting algorithm in MATLAB software. In order to authenticate the accuracy of our results, we have contrasted results with those obtained by Ishak et al., Wang, and Pandey and Kumar and found that they are in better concord, as revealed in Table 2. The impact of numerous emerging parameters on velocity distribution and heat transfer distribution are argued in all aspects and depicted through graphs.

Highlights

  • The terminology of ‘‘nanofluid’’ invented by Choi and Eastman[1] describes engineered colloids incorporating a conventional liquid (e.g. air, water, oil and ethylene glycol (EG)) and nanoparticles

  • The governing flow problem is highly nonlinear system of differential equations, which is solved by RKF45 numerical scheme with shooting algorithm in MATLAB software

  • The velocity and temperature distributions depend on parameters as follows: Reynolds number Re, magnetic number M, Prandtl number Pr, Eckert number Ec, electric parameter E1, radiation number Nr, and the Biot number Bi;

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Summary

Introduction

The terminology of ‘‘nanofluid’’ invented by Choi and Eastman[1] describes engineered colloids incorporating a conventional liquid (e.g. air, water, oil and ethylene glycol (EG)) and nanoparticles. In another computational work, Ellahi et al.[16] investigated the convective nanofluid flow over wedge including the influence of porous media. Makinde and Aziz[18] examined boundary layer nanofluid past a stretching sheet by employing convective surface condition for heat transfer explorations. The literature survey reveals that there are only few articles related to hydromagnetic transport of nanoparticles over stretching cylinder with convective boundary conditions. The aim of the present problem is to examine the influence of thermal radiation and Ohmic heating on hydromagnetic transport of Al2O3 nanoparticles in EG base fluid over a convectively heated linearly stretching cylinder. An incompressible, steady, boundary layer flow of conducting viscous EG base fluid with Alumina Al2O3 nanoparticles over a linear stretching cylinder is considered. The models for effective dynamic viscosity and thermal conductivity of nanofluid are proposed by Brinkman and Maxwell Grannet, respectively, which are given by mnf mf ð1

À fÞ2:5
Discussion of results
Findings
F10 F20 F30 F40 F50
Concluding remarks
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