Investigating the Effects of Joule Heating on Chemically Reactive Williamson Fluid over an Inclined Rotating Surface

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.

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Publication Details

Journal
Applied and Computational Mathematics
Published
2026-01-15
DOI
https://doi.org/10.11648/j.acm.20261501.12
Primary Topic
Nanofluid Flow and Heat Transfer
Type
article
Field-Weighted Citation Impact
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article

Investigating the Effects of Joule Heating on Chemically Reactive Williamson Fluid over an Inclined Rotating Surface

Viona Ojiambo, Johanna Kibet Sigey, Tabitha Ong’au, Moffat Chamuchi
Applied and Computational Mathematics
Nanofluid Flow and Heat Transfer
article

Investigating the Effects of Joule Heating on Chemically Reactive Williamson Fluid over an Inclined Rotating Surface

Viona Ojiambo, Johanna Kibet Sigey, Tabitha Ong’au, Moffat Chamuchi
article en

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.

Applied and Computational MathematicsVol. 15(1)
Jomo Kenyatta University of Agriculture and Technology (KE), Kirinyaga University (KE)
Openalex Percentile: Top 85%
Nanofluid Flow and Heat Transfer
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