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A comparative study of wall jet flow containing carbon nanotubes with convective heat transfer and MHD

Syed Zulfiqar Ali Zaidi (Department of Mathematics, Faculty of Sciences, HITEC University , Taxila Cantt, Pakistan)
Syed Tauseef Mohyud-din (Department of Mathematics, Faculty of Sciences, HITEC University , Taxila Cantt, Pakistan)
Bandar Bin-Mohsen (Department of Mathematics, College of Sciences, King Saud University , Riyadh, Saudi Arabia)

Engineering Computations

ISSN: 0264-4401

Article publication date: 2 May 2017

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Abstract

Purpose

The purpose of this study is to conduct a comparative investigation for incompressible electrically conducting nanofluid fluid through wall jet. Single-walled carbon nanotubes (SWCNTs) and multiple-walled carbon nanotubes (MWCNTs) are considered as the nanoparticles. To record the effect of Lorentz forces, a magnetic field is applied normally with the assumption that the induced magnetic field is negligible.

Design/methodology/approach

Boundary layer approximation is used to convert governing equations into ordinary differential equations along with appropriate boundary conditions. To obtain the results, used homotopy analysis method (HAM) has been used as an analytical technique and to validate the obtained results a famous numerical Runge–Kutta–Fehlberg method is also exploited. It has been observed that the results obtained through both of the methods are in excellent agreement with exact solution.

Findings

The Hartmann number is used as controlling parameter for velocity and temperature profile. That can be recorded as its extended values help to normalize the velocity, whereas it controls the rapid increase in temperature. The temperature profile is boosted by increasing the value of the Biot number, a physical parameter. Similarly, it also increases for an increased percentage of volume fraction of particles (SWCNTs/MWCNTs). The Hartmann number plays an important role in decreasing local skin friction coefficient. The influence of the Biot number and volume fraction of nanoparticles caused similar increasing effects on the local Nusselt number. Nanoparticles of the form SWCNT provide better heat transfer as compared to MWCNTs. Influence of the Biot number and volume fraction of nanoparticles caused similar increasing effects on the local Nusselt number. Nanoparticles of the form SWCNT provide better heat transfer as compared to MWCNTs.

Originality/value

To gain insight into the problem, the effects of various emerging parameters and physical quantities such as Biot number, Nusselt number and skin friction coefficient, have been explored.

Keywords

Acknowledgements

Conflict of interest: The authors declare that there is no conflict of interest regarding the publication of this article.

The authors extend their appreciation to the Deanship of Scientific Research at King Saud University for funding this work through research group no RG-1437-019.

Citation

Ali Zaidi, S.Z., Mohyud-din, S.T. and Bin-Mohsen, B. (2017), "A comparative study of wall jet flow containing carbon nanotubes with convective heat transfer and MHD", Engineering Computations, Vol. 34 No. 3, pp. 739-753. https://doi.org/10.1108/EC-03-2016-0087

Publisher

:

Emerald Publishing Limited Bingley, United Kingdom

Copyright © 2017, Emerald Publishing Limited