Examination of carbon-water nanofluid flow with thermal radiation under the effect of Marangoni convection
Abstract
Purpose
The purpose of this study is to analyze the effects of carbon nanotubes (CNTs) in the Marangoni convection boundary layer viscous fluid flow. The analysis and formulation for both types of CNTs, namely, single-walled (SWCNTs) and multi-walled (MWCNTs), are described. The influence of thermal radiation effect assumed in the form of energy expression.
Design/methodology/approach
Appropriate transformations reduced the partial differential systems to a set of nonlinear ordinary differential equations (ODEs). The obtained nonlinear ODE set is solved via the least squares method. A detailed comparison between outcomes obtained by the least squares method, RK-4 and already published work is available.
Findings
Nusselt number was analyzed and found to be more effective for nanoparticle volume fraction and larger radiation parameters. Additionally, the error and convergence analysis for the least squares method was presented to show the efficiency of the said algorithm.
Originality/value
The results reveal that velocity is a decreasing function of suction for both CNTs. While enhancing the nanoparticle volume fraction, an increase for both thermal boundary layer thickness and temperature was attained. The radiation parameter has an increasing function as temperature. Velocity behavior is the same for nanoparticle volume fraction and suction. It was observed that velocity is less in SWCNTs as compared to MWCNTs.
Keywords
Acknowledgements
The authors are extremely thankful to the unknown reviewers for their valuable comments.
Citation
Mohyud-Din, S.T., Usman, M., Afaq, K., Hamid, M. and Wang, W. (2017), "Examination of carbon-water nanofluid flow with thermal radiation under the effect of Marangoni convection", Engineering Computations, Vol. 34 No. 7, pp. 2330-2343. https://doi.org/10.1108/EC-04-2017-0135
Publisher
:Emerald Publishing Limited
Copyright © 2017, Emerald Publishing Limited