Numerical Analysis of Micro-Rotation Effect on Nanofluid Flow for Vertical Riga Plate
Abstract
:1. Introduction
2. Materials and Methods
3. Results
4. Conclusions
- The increment in modified Hartmann number boosts the energy and mass flux rates.
- Skin friction increases with the increase in modified Hartmann number.
- Mixed convection improves the energy and mass transport rates.
- Nusselt number graph declines by increasing Brownian motion and modified Hartmann number parameters.
- The temperature distribution increases, whereas concentration distribution diminishes for larger values of Brownian motion. It is also found that concentration distribution shows a direct relation with thermophoretic impact.
- Material parameter enhances the angular velocity profile.
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
Nomenclature
Symbols | Explanation | Symbols | Explanation | Symbols | Explanation |
Fluid concentration | Electrodes and magnets width | Applied density | |||
Coefficient of Skin friction | Thermal diffusivity | Lewis number | |||
Stretching rate | Sherwood number | Thermophoretic factor | |||
Surface volume fraction | liquid temperature | Nusselt number | |||
Specific heat at constant pressure | Brownian motion factor | Gravitational acceleration | |||
Brownian diffusion coefficient | Wall temperature | Ambient condition | |||
Thermophoretic diffusion coefficient | Condition at the wall | Prandtl number | |||
Dynamic viscosity | Ambient temperature | ambient velocity | |||
Dimensionless Parameter | Kinematic viscosity | Spin gradient viscosity | |||
Dimensionless solid volume fraction | Similarity function for velocity | wall velocity | |||
Local Grashof number | Thermal expansion coefficient | Concentration expansion coefficient | |||
Electric conductivity | Velocity in direction | Vertex viscosity | |||
Micro inertia per unit mass | Material parameter | Differentiation with respect to | |||
Similarity variable | Thermal conductivity | Cartesian coordinate | |||
Liquid density | magnetization of variable permanent magnets | direction velocity | |||
angular velocity | magnetic field strength | ||||
Modified Grashof number | Reynolds number | Ambient volume fraction |
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Nt | Nb | Current Results | Khan and Pop [30] | ||
---|---|---|---|---|---|
0.1 | 0.1 | 0.9524 | 2.1294 | 0.9524 | 2.1294 |
0.2 | 0.2 | 0.3654 | 2.5152 | 0.3654 | 2.5152 |
0.3 | 0.3 | 0.1355 | 2.6088 | 0.1355 | 2.6088 |
0.4 | 0.4 | 0.0495 | 2.6038 | 0.0495 | 2.6038 |
0.5 | 0.5 | 0.0179 | 2.5731 | 0.0179 | 2.5731 |
Nb | Nt | Pr | Le | M | K | λ | δ | m | ||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
0.1 | 0.1 | 6.5 | 5.0 | 0.1 | 1.0 | 0.1 | 1.0 | 0.1 | 1.0 | 1.1488 | 1.2659 | 0.7564 |
0.4 | 0.1 | 6.5 | 5.0 | 0.1 | 1.0 | 0.1 | 1.0 | 0.1 | 1.0 | 0.3633 | 1.7258 | 0.8366 |
0.1 | 0.4 | 6.5 | 5.0 | 0.1 | 1.0 | 0.1 | 1.0 | 0.1 | 1.0 | 0.6376 | 1.5645 | 0.5416 |
0.1 | 0.1 | 10.0 | 5.0 | 0.1 | 1.0 | 0.1 | 1.0 | 0.1 | 1.0 | 1.1865 | 1.2812 | 0.7506 |
0.1 | 0.1 | 6.5 | 10.0 | 0.1 | 1.0 | 0.1 | 1.0 | 0.1 | 1.0 | 1.0219 | 2.2157 | 0.8756 |
0.1 | 0.1 | 6.5 | 5.0 | 0.3 | 1.0 | 0.1 | 1.0 | 0.1 | 1.0 | 1.1627 | 1.3111 | 0.4994 |
0.1 | 0.1 | 6.5 | 5.0 | 0.1 | 2.0 | 0.1 | 1.0 | 0.1 | 1.0 | 1.1549 | 1.2849 | 0.9665 |
0.1 | 0.1 | 6.5 | 5.0 | 0.1 | 1.0 | 0.3 | 1.0 | 0.1 | 1.0 | 1.1511 | 1.2702 | 0.6935 |
0.1 | 0.1 | 6.5 | 5.0 | 0.1 | 1.0 | 0.1 | 2.0 | 0.1 | 1.0 | 1.1646 | 1.2986 | 0.3694 |
0.1 | 0.1 | 6.5 | 5.0 | 0.1 | 1.0 | 0.1 | 1.0 | 0.3 | 1.0 | 1.1473 | 1.2608 | 0.7824 |
0.1 | 0.1 | 6.5 | 5.0 | 0.1 | 1.0 | 0.1 | 1.0 | 0.1 | 1.0 | 1.1480 | 1.2633 | 0.7699 |
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Alotaibi, H.; Rafique, K. Numerical Analysis of Micro-Rotation Effect on Nanofluid Flow for Vertical Riga Plate. Crystals 2021, 11, 1315. https://doi.org/10.3390/cryst11111315
Alotaibi H, Rafique K. Numerical Analysis of Micro-Rotation Effect on Nanofluid Flow for Vertical Riga Plate. Crystals. 2021; 11(11):1315. https://doi.org/10.3390/cryst11111315
Chicago/Turabian StyleAlotaibi, Hammad, and Khuram Rafique. 2021. "Numerical Analysis of Micro-Rotation Effect on Nanofluid Flow for Vertical Riga Plate" Crystals 11, no. 11: 1315. https://doi.org/10.3390/cryst11111315