Application of Fractional Derivative Without Singular and Local Kernel to Enhanced Heat Transfer in CNTs Nanofluid Over an Inclined Plate
Abstract
:1. Introduction
2. Description of the Proposed Model
3. Methodology
4. Solutions of the Problem
4.1. Solution of Energy Equation
4.2. Solutions of Momentum Equation
5. Discussion of Results
6. Concluding Remarks
- The fractional solutions for temperature and velocity fields are more general, reliable, and flexible, with memory and heredity properties that can be numerically reduced for any values of .
- The temperature profile increase with an increasing volume fraction of CNTs and decreases with increasing fractional parameters (for both cases of CNTs) because of variation in the thermal boundary layer.
- The velocity profile increases with increased permeability of the porous medium and thermal Grashof number, due to the improvement in the velocity boundary layer.
- Nanofluid motion (SWCNTs and MWCTs) retarded with increment in volume concentration of CNTs and magnetic parameters. The normal magnetic field has the strongest resistance to the motion.
- The trends and features of all the physical flow parameters are in excellent agreement with the published work.
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Physical Quantity | Mathematical Model |
---|---|
Density | |
Dynamic viscosity | |
Electrical conductivity | |
Thermal expansion | |
Heat capacitance | |
Thermal conductivity |
Material | Base Fluid | Nanoparticles | |
---|---|---|---|
Human Blood | SWCNTs | MWCMTs | |
1053 | 2600 | 1600 | |
3594 | 425 | 796 | |
0.492 | 6600 | 3000 | |
0.8 | 10−6−10−7 | 1.9 × 10−4 | |
0.18 | 21 | 44 |
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Saqib, M.; Mohd Kasim, A.R.; Mohammad, N.F.; Chuan Ching, D.L.; Shafie, S. Application of Fractional Derivative Without Singular and Local Kernel to Enhanced Heat Transfer in CNTs Nanofluid Over an Inclined Plate. Symmetry 2020, 12, 768. https://doi.org/10.3390/sym12050768
Saqib M, Mohd Kasim AR, Mohammad NF, Chuan Ching DL, Shafie S. Application of Fractional Derivative Without Singular and Local Kernel to Enhanced Heat Transfer in CNTs Nanofluid Over an Inclined Plate. Symmetry. 2020; 12(5):768. https://doi.org/10.3390/sym12050768
Chicago/Turabian StyleSaqib, Muhammad, Abdul Rahman Mohd Kasim, Nurul Farahain Mohammad, Dennis Ling Chuan Ching, and Sharidan Shafie. 2020. "Application of Fractional Derivative Without Singular and Local Kernel to Enhanced Heat Transfer in CNTs Nanofluid Over an Inclined Plate" Symmetry 12, no. 5: 768. https://doi.org/10.3390/sym12050768