Keller-Box Analysis of Buongiorno Model with Brownian and Thermophoretic Diffusion for Casson Nanofluid over an Inclined Surface
Abstract
:1. Introduction
2. Problem Formulation
3. Results and Discussion
4. Conclusions
- ➢
- The temperature profile increases near the boundary layer by improving the Biot number.
- ➢
- The velocity and temperature profiles drop by improving the nonlinear power index.
- ➢
- The heat exchange improved upon improving the radiation parameter.
- ➢
- The velocity distribution retards by increasing the Casson parameter.
- ➢
- The Nuselt number decreases by increasing the Casson parameter.
- ➢
- The skin friction declines by improving the Biot number.
- ➢
- The velocity profile shows an inverse relation with the inclination factor.
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Nb | Nt | Khan and Pop [45] | Present Results | ||
---|---|---|---|---|---|
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 | N | λ | δ | m | ||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0.1 | 0.1 | 6.5 | 5.0 | 0.1 | 1.0 | 1.0 | 0.1 | 0.9 | 0.1 | 0.5 | 45° | 0.0936 | 1.6159 | 0.5417 |
0.5 | 0.1 | 6.5 | 5.0 | 0.1 | 1.0 | 1.0 | 0.1 | 0.9 | 0.1 | 0.5 | 45° | 0.0447 | 1.6541 | 0.5449 |
0.1 | 0.13 | 6.5 | 5.0 | 0.1 | 1.0 | 1.0 | 0.1 | 0.9 | 0.1 | 0.5 | 45° | 0.0961 | 1.6038 | 0.5406 |
0.1 | 0.1 | 10.0 | 5.0 | 0.1 | 1.0 | 1.0 | 0.1 | 0.9 | 0.1 | 0.5 | 45° | 0.0563 | 1.7133 | 0.6235 |
0.1 | 0.1 | 6.5 | 10.0 | 0.1 | 1.0 | 1.0 | 0.1 | 0.9 | 0.1 | 0.5 | 45° | 0.0919 | 2.3622 | 0.5785 |
0.1 | 0.1 | 6.5 | 5.0 | 0.3 | 1.0 | 1.0 | 0.1 | 0.9 | 0.1 | 0.5 | 45° | 0.0957 | 1.5958 | 0.6332 |
0.1 | 0.1 | 6.5 | 5.0 | 0.1 | 5.0 | 1.0 | 0.1 | 0.9 | 0.1 | 0.5 | 45° | 0.0527 | 1.6374 | 0.5421 |
0.1 | 0.1 | 6.5 | 5.0 | 0.1 | 1.0 | 5.0 | 0.1 | 0.9 | 0.1 | 0.5 | 45° | 0.0916 | 1.5833 | 0.6563 |
0.1 | 0.1 | 6.5 | 5.0 | 0.1 | 1.0 | 1.0 | 1.0 | 0.9 | 0.1 | 0.5 | 45° | 0.0952 | 1.6184 | 0.5250 |
0.1 | 0.1 | 6.5 | 5.0 | 0.1 | 1.0 | 1.0 | 0.1 | 2.0 | 0.1 | 0.5 | 45° | 0.0949 | 1.6376 | 0.3809 |
0.1 | 0.1 | 6.5 | 5.0 | 0.1 | 1.0 | 1.0 | 0.1 | 0.9 | 0.2 | 0.5 | 45° | 0.1779 | 1.5828 | 0.5363 |
0.1 | 0.1 | 6.5 | 5.0 | 0.1 | 1.0 | 1.0 | 0.1 | 0.9 | 0.1 | 1.5 | 45° | 0.1253 | 1.5763 | 0.6968 |
0.1 | 0.1 | 6.5 | 5.0 | 0.1 | 1.0 | 1.0 | 0.1 | 0.9 | 0.1 | 0.5 | 60° | 0.0968 | 1.6098 | 0.5818 |
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Rafique, K.; Imran Anwar, M.; Misiran, M.; Khan, I.; Alharbi, S.O.; Thounthong, P.; Nisar, K.S. Keller-Box Analysis of Buongiorno Model with Brownian and Thermophoretic Diffusion for Casson Nanofluid over an Inclined Surface. Symmetry 2019, 11, 1370. https://doi.org/10.3390/sym11111370
Rafique K, Imran Anwar M, Misiran M, Khan I, Alharbi SO, Thounthong P, Nisar KS. Keller-Box Analysis of Buongiorno Model with Brownian and Thermophoretic Diffusion for Casson Nanofluid over an Inclined Surface. Symmetry. 2019; 11(11):1370. https://doi.org/10.3390/sym11111370
Chicago/Turabian StyleRafique, Khuram, Muhammad Imran Anwar, Masnita Misiran, Ilyas Khan, Sayer O. Alharbi, Phatiphat Thounthong, and Kottakkaran Sooppy Nisar. 2019. "Keller-Box Analysis of Buongiorno Model with Brownian and Thermophoretic Diffusion for Casson Nanofluid over an Inclined Surface" Symmetry 11, no. 11: 1370. https://doi.org/10.3390/sym11111370