The purpose of this research is to investigate heat and mass transport in a magnetohydrodynamic (MHD) flow of a non-Newtonian viscoelastic fluid on a stretched magnetized surface. The investigations involve modelling the governing partial differential equations with respect to the Cartesian coordinate system. The models are then transformed into a set of coupled ordinary differential equations. Numerical and graphical solutions were obtained using similarity analysis. The effect of the magnetized sheet on the flow behavior; local skin friction, Nusselt, and Sherwood numbers, are presented in tables. It was observed that an enhanced thickening of the thermal boundary layer was due to the induced magnetization of the sheet. This leads to a significant decline in the heat transfer rate. Certain significant discoveries reported in this research discloses that the effect of viscous dissipation and the non-uniform heat transmission have momentous impact in controlling the rate of heat transfer in the boundary layer region. Again, from the outcome of the analysis it is seen that, the effect of appreciating the Soret number or lessening the Dufour number tends to decrease the velocity and temperature profiles while enhancing the concentration dissemination. Magnetizing the surface shows similar effects on the local skin friction, Nusselt number, and Sherwood number. It is concluded that magnetized surfaces significantly influence the rate of cooling and hence the quality of the penultimate product.
| Published in | American Journal of Applied Mathematics (Volume 10, Issue 2) |
| DOI | 10.11648/j.ajam.20221002.12 |
| Page(s) | 29-42 |
| 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 |
Non-newtonian, Viscoelastic Fluid, Magnetized Plate, Convective Boundary Condition, Internal Heat Generation
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APA Style
Golbert Aloliga, Ibrahim Yakubu Seini, Rabiu Musah. (2022). On MHD Flow of Non-newtonian Viscoelastic Fluid over a Stretched Magnetized Surface. American Journal of Applied Mathematics, 10(2), 29-42. https://doi.org/10.11648/j.ajam.20221002.12
ACS Style
Golbert Aloliga; Ibrahim Yakubu Seini; Rabiu Musah. On MHD Flow of Non-newtonian Viscoelastic Fluid over a Stretched Magnetized Surface. Am. J. Appl. Math. 2022, 10(2), 29-42. doi: 10.11648/j.ajam.20221002.12
AMA Style
Golbert Aloliga, Ibrahim Yakubu Seini, Rabiu Musah. On MHD Flow of Non-newtonian Viscoelastic Fluid over a Stretched Magnetized Surface. Am J Appl Math. 2022;10(2):29-42. doi: 10.11648/j.ajam.20221002.12
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Download@article{10.11648/j.ajam.20221002.12,
author = {Golbert Aloliga and Ibrahim Yakubu Seini and Rabiu Musah},
title = {On MHD Flow of Non-newtonian Viscoelastic Fluid over a Stretched Magnetized Surface},
journal = {American Journal of Applied Mathematics},
volume = {10},
number = {2},
pages = {29-42},
doi = {10.11648/j.ajam.20221002.12},
url = {https://doi.org/10.11648/j.ajam.20221002.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20221002.12},
abstract = {The purpose of this research is to investigate heat and mass transport in a magnetohydrodynamic (MHD) flow of a non-Newtonian viscoelastic fluid on a stretched magnetized surface. The investigations involve modelling the governing partial differential equations with respect to the Cartesian coordinate system. The models are then transformed into a set of coupled ordinary differential equations. Numerical and graphical solutions were obtained using similarity analysis. The effect of the magnetized sheet on the flow behavior; local skin friction, Nusselt, and Sherwood numbers, are presented in tables. It was observed that an enhanced thickening of the thermal boundary layer was due to the induced magnetization of the sheet. This leads to a significant decline in the heat transfer rate. Certain significant discoveries reported in this research discloses that the effect of viscous dissipation and the non-uniform heat transmission have momentous impact in controlling the rate of heat transfer in the boundary layer region. Again, from the outcome of the analysis it is seen that, the effect of appreciating the Soret number or lessening the Dufour number tends to decrease the velocity and temperature profiles while enhancing the concentration dissemination. Magnetizing the surface shows similar effects on the local skin friction, Nusselt number, and Sherwood number. It is concluded that magnetized surfaces significantly influence the rate of cooling and hence the quality of the penultimate product.},
year = {2022}
}
TY - JOUR T1 - On MHD Flow of Non-newtonian Viscoelastic Fluid over a Stretched Magnetized Surface AU - Golbert Aloliga AU - Ibrahim Yakubu Seini AU - Rabiu Musah Y1 - 2022/04/09 PY - 2022 N1 - https://doi.org/10.11648/j.ajam.20221002.12 DO - 10.11648/j.ajam.20221002.12 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 29 EP - 42 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20221002.12 AB - The purpose of this research is to investigate heat and mass transport in a magnetohydrodynamic (MHD) flow of a non-Newtonian viscoelastic fluid on a stretched magnetized surface. The investigations involve modelling the governing partial differential equations with respect to the Cartesian coordinate system. The models are then transformed into a set of coupled ordinary differential equations. Numerical and graphical solutions were obtained using similarity analysis. The effect of the magnetized sheet on the flow behavior; local skin friction, Nusselt, and Sherwood numbers, are presented in tables. It was observed that an enhanced thickening of the thermal boundary layer was due to the induced magnetization of the sheet. This leads to a significant decline in the heat transfer rate. Certain significant discoveries reported in this research discloses that the effect of viscous dissipation and the non-uniform heat transmission have momentous impact in controlling the rate of heat transfer in the boundary layer region. Again, from the outcome of the analysis it is seen that, the effect of appreciating the Soret number or lessening the Dufour number tends to decrease the velocity and temperature profiles while enhancing the concentration dissemination. Magnetizing the surface shows similar effects on the local skin friction, Nusselt number, and Sherwood number. It is concluded that magnetized surfaces significantly influence the rate of cooling and hence the quality of the penultimate product. VL - 10 IS - 2 ER -
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