This study focuses on the analysis of the flow behaviour of a chemically reacting Williamson fluid over an inclined rotating surface, taking into account the combined effects of Coriolis force and Joule heating. A mathematical model is developed to describe the fluid dynamics by integrating the equations of momentum, energy, and species concentration under the influence of these physical phenomena. The governing partial differential equations have been non-dimensionalised and transformed into a system of ordinary differential equations by introducing similarity transform. The resulting ODEs are written as a truncated series whose coefficients are obtained by using the collocation numerical technique on the resulting equations. The flow variables are determined and presented in profile and tabular form. The results were validated by comparing with MATLAB bvp4c and the error ranges between 0.09% and 0.61%, indicating that the method of solution is admissible. It is established that the Coriolis force enhances fluid velocity while simultaneously reducing both temperature and concentration. In contrast, Joule heating increases temperature but decreases fluid velocity and concentration. Additionally, chemical reactions lead to a reduction in velocity and concentration due to the consumption of reactive species, while simultaneously increasing temperature due to exothermic effects.
| Published in | Applied and Computational Mathematics (Volume 15, Issue 1) |
| DOI | 10.11648/j.acm.20261501.12 |
| Page(s) | 13-25 |
| 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), 2026. Published by Science Publishing Group |
Joule Heating, Chemical Reaction, Williamson Fluid, Inclined Surface, Coriolis Force
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APA Style
Ong’au, T. K., Sigey, J. K., Ojiambo, V. N., Chamuchi, M. (2026). Investigating the Effects of Joule Heating on Chemically Reactive Williamson Fluid over an Inclined Rotating Surface. Applied and Computational Mathematics, 15(1), 13-25. https://doi.org/10.11648/j.acm.20261501.12
ACS Style
Ong’au, T. K.; Sigey, J. K.; Ojiambo, V. N.; Chamuchi, M. Investigating the Effects of Joule Heating on Chemically Reactive Williamson Fluid over an Inclined Rotating Surface. Appl. Comput. Math. 2026, 15(1), 13-25. doi: 10.11648/j.acm.20261501.12
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Download@article{10.11648/j.acm.20261501.12,
author = {Tabitha Kerubo Ong’au and Johanna Kibet Sigey and Viona Nakhulo Ojiambo and Moffat Chamuchi},
title = {Investigating the Effects of Joule Heating on Chemically Reactive Williamson Fluid over an Inclined Rotating Surface},
journal = {Applied and Computational Mathematics},
volume = {15},
number = {1},
pages = {13-25},
doi = {10.11648/j.acm.20261501.12},
url = {https://doi.org/10.11648/j.acm.20261501.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20261501.12},
abstract = {This study focuses on the analysis of the flow behaviour of a chemically reacting Williamson fluid over an inclined rotating surface, taking into account the combined effects of Coriolis force and Joule heating. A mathematical model is developed to describe the fluid dynamics by integrating the equations of momentum, energy, and species concentration under the influence of these physical phenomena. The governing partial differential equations have been non-dimensionalised and transformed into a system of ordinary differential equations by introducing similarity transform. The resulting ODEs are written as a truncated series whose coefficients are obtained by using the collocation numerical technique on the resulting equations. The flow variables are determined and presented in profile and tabular form. The results were validated by comparing with MATLAB bvp4c and the error ranges between 0.09% and 0.61%, indicating that the method of solution is admissible. It is established that the Coriolis force enhances fluid velocity while simultaneously reducing both temperature and concentration. In contrast, Joule heating increases temperature but decreases fluid velocity and concentration. Additionally, chemical reactions lead to a reduction in velocity and concentration due to the consumption of reactive species, while simultaneously increasing temperature due to exothermic effects.
},
year = {2026}
}
TY - JOUR T1 - Investigating the Effects of Joule Heating on Chemically Reactive Williamson Fluid over an Inclined Rotating Surface AU - Tabitha Kerubo Ong’au AU - Johanna Kibet Sigey AU - Viona Nakhulo Ojiambo AU - Moffat Chamuchi Y1 - 2026/01/15 PY - 2026 N1 - https://doi.org/10.11648/j.acm.20261501.12 DO - 10.11648/j.acm.20261501.12 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 13 EP - 25 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20261501.12 AB - This study focuses on the analysis of the flow behaviour of a chemically reacting Williamson fluid over an inclined rotating surface, taking into account the combined effects of Coriolis force and Joule heating. A mathematical model is developed to describe the fluid dynamics by integrating the equations of momentum, energy, and species concentration under the influence of these physical phenomena. The governing partial differential equations have been non-dimensionalised and transformed into a system of ordinary differential equations by introducing similarity transform. The resulting ODEs are written as a truncated series whose coefficients are obtained by using the collocation numerical technique on the resulting equations. The flow variables are determined and presented in profile and tabular form. The results were validated by comparing with MATLAB bvp4c and the error ranges between 0.09% and 0.61%, indicating that the method of solution is admissible. It is established that the Coriolis force enhances fluid velocity while simultaneously reducing both temperature and concentration. In contrast, Joule heating increases temperature but decreases fluid velocity and concentration. Additionally, chemical reactions lead to a reduction in velocity and concentration due to the consumption of reactive species, while simultaneously increasing temperature due to exothermic effects. VL - 15 IS - 1 ER -
Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Juja, Kenya
Department of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Juja, Kenya
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