,
Mukonda Danny,
Mwamba Nictor,
Levy Kahyata Matindih,
Chenjelani Mwale,
Stanley Jere
The study examined a three-dimensional unsteady Magnetohydrodynamic non-Newtonian nanofluid flow with magnetic induction, Lorentz force, viscous dissipation and thermophoresis between two parallel horizontal plates. In this study, fluid’s dynamic viscosity and thermal conductivity parameters have been assumed to vary depending on temperature changes. The density has been assumed to be incompressible and also the study assumes that the gravitational effects are negligible. The governing equations: continuity, Navier-Stokes, Energy, Magnetic Induction and Concentration equations for the non-Newtonian nanofluid flow have been developed and non-dimensionalized. Dimensionless parameters arising from the dimensionless equations have also been determined. Finite difference numerical approximation method has been used to approximate the systems of the governing equations in difference form. Profiles for the flow variables have been presented and discussed. Results show that increasing thermophoresis parameter increases the specie concentration while increasing Schmidt number and chemical reaction parameter reduces concentration profiles. Magnetic induction profiles rise with an increase in Reynolds number but declines with an increase in magnetic Prandtl number. Temperature and velocity profiles increase with an increase in Reynolds number. The study of electrically conducting fluids with the consideration of Lorentz force, thermophoresis, viscous dissipation, chemical reaction, variable dynamic viscosity, variable thermal conductivity and magnetic induction is very useful in designing heat and mass transfer appliances. It is also significant in cooling and overheating control systems.
| Published in | Applied and Computational Mathematics (Volume 13, Issue 6) |
| DOI | 10.11648/j.acm.20241306.12 |
| Page(s) | 224-235 |
| 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 |
Unsteady, Magnetohydrodynamic, Non-Newtonian, Nanofluid, Magnetic Induction, Lorentz Force, Viscous Dissipation, Thermophoresis
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APA Style
Tuesday, K., Danny, M., Nictor, M., Matindih, L. K., Mwale, C., et al. (2024). Time - Dependent Magnetohydrodynamic Non-Newtonian Nanofluid Flow with Lorentz Force, Viscous Dissipation and Thermophoresis Between Parallel Plates. Applied and Computational Mathematics, 13(6), 224-235. https://doi.org/10.11648/j.acm.20241306.12
ACS Style
Tuesday, K.; Danny, M.; Nictor, M.; Matindih, L. K.; Mwale, C., et al. Time - Dependent Magnetohydrodynamic Non-Newtonian Nanofluid Flow with Lorentz Force, Viscous Dissipation and Thermophoresis Between Parallel Plates. Appl. Comput. Math. 2024, 13(6), 224-235. doi: 10.11648/j.acm.20241306.12
AMA Style
Tuesday K, Danny M, Nictor M, Matindih LK, Mwale C, et al. Time - Dependent Magnetohydrodynamic Non-Newtonian Nanofluid Flow with Lorentz Force, Viscous Dissipation and Thermophoresis Between Parallel Plates. Appl Comput Math. 2024;13(6):224-235. doi: 10.11648/j.acm.20241306.12
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Download@article{10.11648/j.acm.20241306.12,
author = {Kafunda Tuesday and Mukonda Danny and Mwamba Nictor and Levy Kahyata Matindih and Chenjelani Mwale and Stanley Jere},
title = {Time - Dependent Magnetohydrodynamic Non-Newtonian Nanofluid Flow with Lorentz Force, Viscous Dissipation and Thermophoresis Between Parallel Plates},
journal = {Applied and Computational Mathematics},
volume = {13},
number = {6},
pages = {224-235},
doi = {10.11648/j.acm.20241306.12},
url = {https://doi.org/10.11648/j.acm.20241306.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20241306.12},
abstract = {The study examined a three-dimensional unsteady Magnetohydrodynamic non-Newtonian nanofluid flow with magnetic induction, Lorentz force, viscous dissipation and thermophoresis between two parallel horizontal plates. In this study, fluid’s dynamic viscosity and thermal conductivity parameters have been assumed to vary depending on temperature changes. The density has been assumed to be incompressible and also the study assumes that the gravitational effects are negligible. The governing equations: continuity, Navier-Stokes, Energy, Magnetic Induction and Concentration equations for the non-Newtonian nanofluid flow have been developed and non-dimensionalized. Dimensionless parameters arising from the dimensionless equations have also been determined. Finite difference numerical approximation method has been used to approximate the systems of the governing equations in difference form. Profiles for the flow variables have been presented and discussed. Results show that increasing thermophoresis parameter increases the specie concentration while increasing Schmidt number and chemical reaction parameter reduces concentration profiles. Magnetic induction profiles rise with an increase in Reynolds number but declines with an increase in magnetic Prandtl number. Temperature and velocity profiles increase with an increase in Reynolds number. The study of electrically conducting fluids with the consideration of Lorentz force, thermophoresis, viscous dissipation, chemical reaction, variable dynamic viscosity, variable thermal conductivity and magnetic induction is very useful in designing heat and mass transfer appliances. It is also significant in cooling and overheating control systems.},
year = {2024}
}
TY - JOUR T1 - Time - Dependent Magnetohydrodynamic Non-Newtonian Nanofluid Flow with Lorentz Force, Viscous Dissipation and Thermophoresis Between Parallel Plates AU - Kafunda Tuesday AU - Mukonda Danny AU - Mwamba Nictor AU - Levy Kahyata Matindih AU - Chenjelani Mwale AU - Stanley Jere Y1 - 2024/12/18 PY - 2024 N1 - https://doi.org/10.11648/j.acm.20241306.12 DO - 10.11648/j.acm.20241306.12 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 224 EP - 235 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20241306.12 AB - The study examined a three-dimensional unsteady Magnetohydrodynamic non-Newtonian nanofluid flow with magnetic induction, Lorentz force, viscous dissipation and thermophoresis between two parallel horizontal plates. In this study, fluid’s dynamic viscosity and thermal conductivity parameters have been assumed to vary depending on temperature changes. The density has been assumed to be incompressible and also the study assumes that the gravitational effects are negligible. The governing equations: continuity, Navier-Stokes, Energy, Magnetic Induction and Concentration equations for the non-Newtonian nanofluid flow have been developed and non-dimensionalized. Dimensionless parameters arising from the dimensionless equations have also been determined. Finite difference numerical approximation method has been used to approximate the systems of the governing equations in difference form. Profiles for the flow variables have been presented and discussed. Results show that increasing thermophoresis parameter increases the specie concentration while increasing Schmidt number and chemical reaction parameter reduces concentration profiles. Magnetic induction profiles rise with an increase in Reynolds number but declines with an increase in magnetic Prandtl number. Temperature and velocity profiles increase with an increase in Reynolds number. The study of electrically conducting fluids with the consideration of Lorentz force, thermophoresis, viscous dissipation, chemical reaction, variable dynamic viscosity, variable thermal conductivity and magnetic induction is very useful in designing heat and mass transfer appliances. It is also significant in cooling and overheating control systems. VL - 13 IS - 6 ER -
Department of Mathematics and Statistics, Mulungushi University, Kabwe, Zambia
Department of Mathematics and Statistics, Mulungushi University, Kabwe, Zambia
Department of Applied Sciences and Engineering, Eden University, Lusaka, Zambia
Department of Mathematics and Statistics, Mulungushi University, Kabwe, Zambia
Department of Mathematics and Statistics, Mulungushi University, Kabwe, Zambia
Department of Mathematics and Statistics, Mulungushi University, Kabwe, Zambia
