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Dual Branches of MHD Three-Dimensional Rotating Flow of Hybrid Nanofluid on Nonlinear Shrinking Sheet

Liaquat Ali Lund1,2,*, Zurni Omar1, Ilyas Khan3, El-Sayed M. Sherif4,5

1 School of Quantitative Sciences, Universiti Utara Malaysia, Sintok, Kedah, 06010, Malaysia
2 KCAET Khairpur Mir’s, Sindh Agriculture University, Tandojam, Sindh, 70060, Pakistan
3 Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
4 Center of Excellence for Research in Engineering Materials, King Saud University, Al-Riyadh, 11421, Saudi Arabia
5 Electrochemistry and Corrosion Laboratory, Department of Physical Chemistry, National Research Centre, Dokki, Cairo, 12622, Egypt

* Corresponding Author: Liaquat Ali Lund. Email:

Computers, Materials & Continua 2021, 66(1), 127-139.


In this study, magnetohydrodynamic (MHD) three-dimensional (3D) flow of alumina (Al2O3) and copper (Cu) nanoparticles of an electrically conducting incompressible fluid in a rotating frame has been investigated. The shrinking surface generates the flow that also has been examined. The single-phase (i.e., Tiwari and Das) model is implemented for the hybrid nanofluid transport phenomena. Results for alumina and copper nanomaterials in the water base fluid are achieved. Boundary layer approximations are used to reduce governing partial differential (PDEs) system into the system of the ordinary differential equations (ODEs). The three-stage Lobatto IIIa method in bvp4c solver is applied for solutions of the governing model. Graphical results have been shown to examine how velocity and temperature fields are influenced by various applied parameters. It has been found that there are two branches for certain values of the suction/injection parameter b: The rise in copper volumetric concentration improved the velocity of hybrid nanofluid in the upper branch. The heat transfer rate improved for the case of hybrid nanofluid as compared to the viscous fluid and simple nanofluid.


Cite This Article

L. Ali Lund, Z. Omar, I. Khan and E. M. Sherif, "Dual branches of mhd three-dimensional rotating flow of hybrid nanofluid on nonlinear shrinking sheet," Computers, Materials & Continua, vol. 66, no.1, pp. 127–139, 2021.


This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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