Numerical study of unsteady flow and heat transfer CNT-based MHD nanofluid with variable viscosity over a permeable shrinking surface
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 18 July 2019
Issue publication date: 21 November 2019
Abstract
Purpose
The purpose of this paper is to present a novel model on the unsteady MHD flow of heat transfer in carbon nanotubes with variable viscosity over a shrinking surface.
Design/methodology/approach
The temperature-dependent viscosity makes the proposed model non-linear and coupled. Consequently, the resulting non-linear partial differential equations are first reformed into set of ordinary differential equations through appropriate transformations and boundary layer approximation and are then solved numerically by the Keller box method.
Findings
Graphical and numerical results are executed keeping temperature-dependent viscosity of nanofluid. It is noted that, for diverse critical points, it is found that at one side of these critical values, multiple solutions exist; on the other side, no solution exists. A comparison is also computed for the special case of existing study. The temperature and pressure profiles are also plotted for various effective parameters.
Originality/value
The work is original.
Keywords
Acknowledgements
Professor Sohail Nadeem and Dr Salman Saleem have extended their appreciation to the Deanship of Scientific Research at King Khalid University Saudi Arabia, for funding this work through research groups program under Grant Number R.G.P.2/51/40.
Citation
Ahmed, Z., Nadeem, S., Saleem, S. and Ellahi, R. (2019), "Numerical study of unsteady flow and heat transfer CNT-based MHD nanofluid with variable viscosity over a permeable shrinking surface", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 29 No. 12, pp. 4607-4623. https://doi.org/10.1108/HFF-04-2019-0346
Publisher
:Emerald Publishing Limited
Copyright © 2019, Emerald Publishing Limited