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Article

Two-Phase Couette Flow of Couple Stress Fluid with Temperature Dependent Viscosity Thermally Affected by Magnetized Moving Surface

1
Center for Modeling & Computer Simulation, Research Institute, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia
2
Department of Mathematics & Statistics, Faculty of Basic and Applied Sciences (FBAS), International Islamic University (IIUI), Islamabad 44000, Pakistan
3
Department of Mathematics, Faculty of Arts and Basic Sciences (FABS), Balochistan University of Information Technology, Engineering, and Management Sciences (BUITEMS), Quetta 87300, Pakistan
4
Department of Mathematics, University of Education Lahore, Faisalabad Campus, Faisalabad 38000, Pakistan
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(5), 647; https://doi.org/10.3390/sym11050647
Received: 19 March 2019 / Revised: 1 May 2019 / Accepted: 5 May 2019 / Published: 8 May 2019
(This article belongs to the Special Issue Symmetry and Fluid Mechanics)
The Couette–Poiseuille flow of couple stress fluid with magnetic field between two parallel plates was investigated. The flow was driven due to axial pressure gradient and uniform motion of the upper plate. The influence of heating at the wall in the presence of spherical and homogeneous Hafnium particles was taken into account. The temperature dependent viscosity model, namely, Reynolds’ model was utilized. The Runge–Kutta scheme with shooting was used to tackle a non-linear system of equations. It was observed that the velocity decreased by increasing the values of the Hartman number, as heating of the wall reduced the effects of viscous forces, therefore, resistance of magnetic force reduced the velocity of fluid. However, due to shear thinning effects, the velocity was increased by increasing the values of the viscosity parameter, and as a result the temperature profile also declined. The suspension of inertial particles in an incompressible turbulent flow with Newtonian and non-Newtonian base fluids can be used to analyze the biphase flows through diverse geometries that could possibly be future perspectives of proposed model. View Full-Text
Keywords: couple stress fluid; Hafnium particles; Couette–Poiseuille flow; shooting method; magnetic field couple stress fluid; Hafnium particles; Couette–Poiseuille flow; shooting method; magnetic field
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MDPI and ACS Style

Ellahi, R.; Zeeshan, A.; Hussain, F.; Abbas, T. Two-Phase Couette Flow of Couple Stress Fluid with Temperature Dependent Viscosity Thermally Affected by Magnetized Moving Surface. Symmetry 2019, 11, 647. https://doi.org/10.3390/sym11050647

AMA Style

Ellahi R, Zeeshan A, Hussain F, Abbas T. Two-Phase Couette Flow of Couple Stress Fluid with Temperature Dependent Viscosity Thermally Affected by Magnetized Moving Surface. Symmetry. 2019; 11(5):647. https://doi.org/10.3390/sym11050647

Chicago/Turabian Style

Ellahi, Rahmat, Ahmed Zeeshan, Farooq Hussain, and Tehseen Abbas. 2019. "Two-Phase Couette Flow of Couple Stress Fluid with Temperature Dependent Viscosity Thermally Affected by Magnetized Moving Surface" Symmetry 11, no. 5: 647. https://doi.org/10.3390/sym11050647

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