This research investigates the flow of a Powell-Eyring Nanofluid flowing over an exponentially stretching sheet. Thermal radiation, Soret, dissipation, and Dufour effects have been put into consideration. The obtained partial differential equations(PDE) have been transformed into ordinary differential equations (ODE) using similarity transformation. Numerical solutions are obtained in MATLAB using bvp4c frame work of fourth order accuracy integration scheme. It has been observed that the boundary layer for momentum increases with the velocity ratio while the boundary layers for thermal and concentration decrease. The velocity diminishes with increasing magnetic parameter while the temperature and concentration increased. The temperature increases with an increase in thermophoresis and Brownian motion. Increasing the fluid parameter resulted in decreased Nusselt number, skin friction, and Sherwood number. Increasing Powell-Eyring fluid parameter decreases the Nusselt number and Sherwood number but increases skin friction. This research may find use in the development of microelectronics, chemical processes, human targeted drug delivery, and heating and cooling system.
| Published in | Applied and Computational Mathematics (Volume 13, Issue 5) |
| DOI | 10.11648/j.acm.20241305.14 |
| Page(s) | 153-164 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Exponentially Stretching Sheet, Powell-Eyring Nanofluid, Chemical Reactions, Zero Mass Flux Condition
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APA Style
Mwamba, N. (2024). Powell-Eyring Nanofluid Flow over a Stretching Sheet. Applied and Computational Mathematics, 13(5), 153-164. https://doi.org/10.11648/j.acm.20241305.14
ACS Style
Mwamba, N. Powell-Eyring Nanofluid Flow over a Stretching Sheet. Appl. Comput. Math. 2024, 13(5), 153-164. doi: 10.11648/j.acm.20241305.14
AMA Style
Mwamba N. Powell-Eyring Nanofluid Flow over a Stretching Sheet. Appl Comput Math. 2024;13(5):153-164. doi: 10.11648/j.acm.20241305.14
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Download@article{10.11648/j.acm.20241305.14,
author = {Nictor Mwamba},
title = {Powell-Eyring Nanofluid Flow over a Stretching Sheet},
journal = {Applied and Computational Mathematics},
volume = {13},
number = {5},
pages = {153-164},
doi = {10.11648/j.acm.20241305.14},
url = {https://doi.org/10.11648/j.acm.20241305.14},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20241305.14},
abstract = {This research investigates the flow of a Powell-Eyring Nanofluid flowing over an exponentially stretching sheet. Thermal radiation, Soret, dissipation, and Dufour effects have been put into consideration. The obtained partial differential equations(PDE) have been transformed into ordinary differential equations (ODE) using similarity transformation. Numerical solutions are obtained in MATLAB using bvp4c frame work of fourth order accuracy integration scheme. It has been observed that the boundary layer for momentum increases with the velocity ratio while the boundary layers for thermal and concentration decrease. The velocity diminishes with increasing magnetic parameter while the temperature and concentration increased. The temperature increases with an increase in thermophoresis and Brownian motion. Increasing the fluid parameter resulted in decreased Nusselt number, skin friction, and Sherwood number. Increasing Powell-Eyring fluid parameter decreases the Nusselt number and Sherwood number but increases skin friction. This research may find use in the development of microelectronics, chemical processes, human targeted drug delivery, and heating and cooling system.},
year = {2024}
}
TY - JOUR T1 - Powell-Eyring Nanofluid Flow over a Stretching Sheet AU - Nictor Mwamba Y1 - 2024/09/06 PY - 2024 N1 - https://doi.org/10.11648/j.acm.20241305.14 DO - 10.11648/j.acm.20241305.14 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 153 EP - 164 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20241305.14 AB - This research investigates the flow of a Powell-Eyring Nanofluid flowing over an exponentially stretching sheet. Thermal radiation, Soret, dissipation, and Dufour effects have been put into consideration. The obtained partial differential equations(PDE) have been transformed into ordinary differential equations (ODE) using similarity transformation. Numerical solutions are obtained in MATLAB using bvp4c frame work of fourth order accuracy integration scheme. It has been observed that the boundary layer for momentum increases with the velocity ratio while the boundary layers for thermal and concentration decrease. The velocity diminishes with increasing magnetic parameter while the temperature and concentration increased. The temperature increases with an increase in thermophoresis and Brownian motion. Increasing the fluid parameter resulted in decreased Nusselt number, skin friction, and Sherwood number. Increasing Powell-Eyring fluid parameter decreases the Nusselt number and Sherwood number but increases skin friction. This research may find use in the development of microelectronics, chemical processes, human targeted drug delivery, and heating and cooling system. VL - 13 IS - 5 ER -
Department of Applied Sciences and Engineering, Eden University, Lusaka, Zambia
