Two-Phase Couette Flow of Couple Stress Fluid with Temperature Dependent Viscosity Thermally Affected by Magnetized Moving Surface
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 H...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-05-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/11/5/647 |
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| author | Rahmat Ellahi Ahmed Zeeshan Farooq Hussain Tehseen Abbas |
| author_facet | Rahmat Ellahi Ahmed Zeeshan Farooq Hussain Tehseen Abbas |
| author_sort | Rahmat Ellahi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-14T05:21:11Z |
| format | Article |
| id | doaj.art-133b29b819054c47a8564c642d1fd3b9 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-14T05:21:11Z |
| publishDate | 2019-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-133b29b819054c47a8564c642d1fd3b92022-12-22T02:10:10ZengMDPI AGSymmetry2073-89942019-05-0111564710.3390/sym11050647sym11050647Two-Phase Couette Flow of Couple Stress Fluid with Temperature Dependent Viscosity Thermally Affected by Magnetized Moving SurfaceRahmat Ellahi0Ahmed Zeeshan1Farooq Hussain2Tehseen Abbas3Center for Modeling & Computer Simulation, Research Institute, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematics & Statistics, Faculty of Basic and Applied Sciences (FBAS), International Islamic University (IIUI), Islamabad 44000, PakistanDepartment of Mathematics & Statistics, Faculty of Basic and Applied Sciences (FBAS), International Islamic University (IIUI), Islamabad 44000, PakistanDepartment of Mathematics, University of Education Lahore, Faisalabad Campus, Faisalabad 38000, PakistanThe 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.https://www.mdpi.com/2073-8994/11/5/647couple stress fluidHafnium particlesCouette–Poiseuille flowshooting methodmagnetic field |
| spellingShingle | Rahmat Ellahi Ahmed Zeeshan Farooq Hussain Tehseen Abbas Two-Phase Couette Flow of Couple Stress Fluid with Temperature Dependent Viscosity Thermally Affected by Magnetized Moving Surface Symmetry couple stress fluid Hafnium particles Couette–Poiseuille flow shooting method magnetic field |
| title | Two-Phase Couette Flow of Couple Stress Fluid with Temperature Dependent Viscosity Thermally Affected by Magnetized Moving Surface |
| title_full | Two-Phase Couette Flow of Couple Stress Fluid with Temperature Dependent Viscosity Thermally Affected by Magnetized Moving Surface |
| title_fullStr | Two-Phase Couette Flow of Couple Stress Fluid with Temperature Dependent Viscosity Thermally Affected by Magnetized Moving Surface |
| title_full_unstemmed | Two-Phase Couette Flow of Couple Stress Fluid with Temperature Dependent Viscosity Thermally Affected by Magnetized Moving Surface |
| title_short | Two-Phase Couette Flow of Couple Stress Fluid with Temperature Dependent Viscosity Thermally Affected by Magnetized Moving Surface |
| title_sort | two phase couette flow of couple stress fluid with temperature dependent viscosity thermally affected by magnetized moving surface |
| topic | couple stress fluid Hafnium particles Couette–Poiseuille flow shooting method magnetic field |
| url | https://www.mdpi.com/2073-8994/11/5/647 |
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