The steady state magnetohydrodynamic flow of Jeffrey nanofluid with nonlinear thermal radiation, over a porous plate together with prescribed boundary conditions of interest was carried out via Lie symmetry group alteration. The all-inclusive flow of the present model incorporates the Jeffrey parameters, nonlinear thermal radiation, heat generation, Brownian motion, chemical reaction, thermophoresis and porosity parameter. The derived governing equations of the problem are highly nonlinear coupled partial differential equations. The Lie group approach was used to convert the system partial differential equations to a system of ordinary differential equations which was solved numerically with the help of a matlab solver called bvp4c. The established numerical results were discussed with help of line graph. The Rayleigh number and porosity parameter enriched the velocity fluid. The rise of the temperature ratio parameter and heat generation parameter improved the temperature contours and is reduced by boosting the Prandtl number. Lewis number, chemical reaction parameter diminished the concentration profile and took the opposite direction for Biot number. Equally, by improving Jeffrey parameter and Hartmann number weakened skin friction profile. Also, Sherwood number, and the Nusselt number were also expanded. The recent outcome will be useful in the automobile industry, polymer industry and so on.
| Published in | International Journal of Theoretical and Applied Mathematics (Volume 9, Issue 3) |
| DOI | 10.11648/j.ijtam.20230903.11 |
| Page(s) | 23-34 |
| 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 |
Nonlinear Thermal Radiation, Heat Source-Sink, Porosity Parameter and Jeffrey Parameter
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APA Style
Williams, M., Bala Yabo, I., Mustafa, A., Audu, A. (2023). Analyzing Steady State Heat and Mass Transfer in Jeffrey Nanofluid with Nonlinear Thermal Radiation. International Journal of Theoretical and Applied Mathematics, 9(3), 23-34. https://doi.org/10.11648/j.ijtam.20230903.11
ACS Style
Williams, M.; Bala Yabo, I.; Mustafa, A.; Audu, A. Analyzing Steady State Heat and Mass Transfer in Jeffrey Nanofluid with Nonlinear Thermal Radiation. Int. J. Theor. Appl. Math. 2023, 9(3), 23-34. doi: 10.11648/j.ijtam.20230903.11
AMA Style
Williams M, Bala Yabo I, Mustafa A, Audu A. Analyzing Steady State Heat and Mass Transfer in Jeffrey Nanofluid with Nonlinear Thermal Radiation. Int J Theor Appl Math. 2023;9(3):23-34. doi: 10.11648/j.ijtam.20230903.11
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Download@article{10.11648/j.ijtam.20230903.11,
author = {Michael Williams and Isah Bala Yabo and Aminu Mustafa and Ahmed Audu},
title = {Analyzing Steady State Heat and Mass Transfer in Jeffrey Nanofluid with Nonlinear Thermal Radiation},
journal = {International Journal of Theoretical and Applied Mathematics},
volume = {9},
number = {3},
pages = {23-34},
doi = {10.11648/j.ijtam.20230903.11},
url = {https://doi.org/10.11648/j.ijtam.20230903.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20230903.11},
abstract = {The steady state magnetohydrodynamic flow of Jeffrey nanofluid with nonlinear thermal radiation, over a porous plate together with prescribed boundary conditions of interest was carried out via Lie symmetry group alteration. The all-inclusive flow of the present model incorporates the Jeffrey parameters, nonlinear thermal radiation, heat generation, Brownian motion, chemical reaction, thermophoresis and porosity parameter. The derived governing equations of the problem are highly nonlinear coupled partial differential equations. The Lie group approach was used to convert the system partial differential equations to a system of ordinary differential equations which was solved numerically with the help of a matlab solver called bvp4c. The established numerical results were discussed with help of line graph. The Rayleigh number and porosity parameter enriched the velocity fluid. The rise of the temperature ratio parameter and heat generation parameter improved the temperature contours and is reduced by boosting the Prandtl number. Lewis number, chemical reaction parameter diminished the concentration profile and took the opposite direction for Biot number. Equally, by improving Jeffrey parameter and Hartmann number weakened skin friction profile. Also, Sherwood number, and the Nusselt number were also expanded. The recent outcome will be useful in the automobile industry, polymer industry and so on.
},
year = {2023}
}
TY - JOUR T1 - Analyzing Steady State Heat and Mass Transfer in Jeffrey Nanofluid with Nonlinear Thermal Radiation AU - Michael Williams AU - Isah Bala Yabo AU - Aminu Mustafa AU - Ahmed Audu Y1 - 2023/12/22 PY - 2023 N1 - https://doi.org/10.11648/j.ijtam.20230903.11 DO - 10.11648/j.ijtam.20230903.11 T2 - International Journal of Theoretical and Applied Mathematics JF - International Journal of Theoretical and Applied Mathematics JO - International Journal of Theoretical and Applied Mathematics SP - 23 EP - 34 PB - Science Publishing Group SN - 2575-5080 UR - https://doi.org/10.11648/j.ijtam.20230903.11 AB - The steady state magnetohydrodynamic flow of Jeffrey nanofluid with nonlinear thermal radiation, over a porous plate together with prescribed boundary conditions of interest was carried out via Lie symmetry group alteration. The all-inclusive flow of the present model incorporates the Jeffrey parameters, nonlinear thermal radiation, heat generation, Brownian motion, chemical reaction, thermophoresis and porosity parameter. The derived governing equations of the problem are highly nonlinear coupled partial differential equations. The Lie group approach was used to convert the system partial differential equations to a system of ordinary differential equations which was solved numerically with the help of a matlab solver called bvp4c. The established numerical results were discussed with help of line graph. The Rayleigh number and porosity parameter enriched the velocity fluid. The rise of the temperature ratio parameter and heat generation parameter improved the temperature contours and is reduced by boosting the Prandtl number. Lewis number, chemical reaction parameter diminished the concentration profile and took the opposite direction for Biot number. Equally, by improving Jeffrey parameter and Hartmann number weakened skin friction profile. Also, Sherwood number, and the Nusselt number were also expanded. The recent outcome will be useful in the automobile industry, polymer industry and so on. VL - 9 IS - 3 ER -
Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria
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