Modelling and simulation of unsteady flow of Arrhenius-type reactive Power-law fluids in multiple geometrical configurations

Rasaq Oyeyemi Olayiwola; Fadhilat Tumininu Olayiwola; Almusbahu Abdulrahim; Olamide Nurat Abdurrahman; Nasiru Omeiza Salihu; Wachin Abdullahi Abubakar

doi:10.5455/CUJOSTECH.260412

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Online Published: 17 Jul 2026

CUJOSTECH. 0; 0(0):

doi: 10.5455/CUJOSTECH.260412

Modelling and simulation of unsteady flow of Arrhenius-type reactive Power-law fluids in multiple geometrical configurations

Rasaq Oyeyemi Olayiwola, Fadhilat Tumininu Olayiwola, Almusbahu Abdulrahim, Olamide Nurat Abdurrahman, Nasiru Omeiza Salihu, Wachin Abdullahi Abubakar.

Abstract
This study presents a mathematical and computational analysis of unsteady flow behaviour in Arrhenius-type reactive power-law fluids across multiple geometrical configurations. A coupled system of nonlinear momentum, energy, and species equations was formulated to capture the effects of shear-dependent viscosity, exothermic chemical reactions, and transient heat and mass transport. The Olayiwola Generalised Polynomial Approximation Method (OGPAM) was employed to derive approximate solutions, while parametric simulations were conducted to evaluate the influence of key rheological and reaction parameters. The results demonstrate significant sensitivity of flow dynamics to physicochemical conditions. Increased pressure gradients enhanced velocity, temperature, and concentration distributions, indicating stronger convective transport. Fluids with larger power-law indices exhibited elevated temperature and concentration responses, confirming intensified shear-thickening behaviour. Higher reaction orders and Frank-Kamenetskii parameters increased thermal generation but reduced concentration due to accelerated depletion of the reactant. Conversely, reductions in activation energy accelerated reaction kinetics, resulting in substantial enhancements in thermal and mass transport. Both Eckert number and viscous heating effects were shown to reinforce internal heat generation, producing steeper thermal gradients. Additionally, increasing Peclet mass numbers promoted solutal advection and improved species distribution. Overall, the findings provide detailed mechanistic insight into the coupling between chemical reaction rates, rheological behaviour, and transport processes in reactive non-Newtonian flows. The outcomes offer a robust foundation for optimised thermal control and process safety in combustion, pyrolysis, chemical reactor design, and related industrial applications involving power-law fluids under reactive conditions.

Key words: Arrhenius kinetics, heat and mass transfer, non-Newtonian rheology, OGPAM, Power-law fluids, thermal explosion, viscous dissipation

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How to Cite this Article

Pubmed Style

Olayiwola RO, Olayiwola FT, Abdulrahim A, Abdurrahman ON, Salihu NO, Abubakar WA. Modelling and simulation of unsteady flow of Arrhenius-type reactive Power-law fluids in multiple geometrical configurations. CUJOSTECH. Online First: 17 Jul, 2026. doi:10.5455/CUJOSTECH.260412

Web Style

Olayiwola RO, Olayiwola FT, Abdulrahim A, Abdurrahman ON, Salihu NO, Abubakar WA. Modelling and simulation of unsteady flow of Arrhenius-type reactive Power-law fluids in multiple geometrical configurations. https://www.cujostech.com.ng/?mno=279796 [Access: July 17, 2026]. doi:10.5455/CUJOSTECH.260412

AMA (American Medical Association) Style

Olayiwola RO, Olayiwola FT, Abdulrahim A, Abdurrahman ON, Salihu NO, Abubakar WA. Modelling and simulation of unsteady flow of Arrhenius-type reactive Power-law fluids in multiple geometrical configurations. CUJOSTECH. Online First: 17 Jul, 2026. doi:10.5455/CUJOSTECH.260412

Vancouver/ICMJE Style

Olayiwola RO, Olayiwola FT, Abdulrahim A, Abdurrahman ON, Salihu NO, Abubakar WA. Modelling and simulation of unsteady flow of Arrhenius-type reactive Power-law fluids in multiple geometrical configurations. CUJOSTECH, [cited July 17, 2026]; Online First: 17 Jul, 2026. doi:10.5455/CUJOSTECH.260412

Harvard Style

Olayiwola, R. O., Olayiwola, . F. T., Abdulrahim, . A., Abdurrahman, . O. N., Salihu, . N. O. & Abubakar, . W. A. (0) Modelling and simulation of unsteady flow of Arrhenius-type reactive Power-law fluids in multiple geometrical configurations. CUJOSTECH, Online First: 17 Jul, 2026. doi:10.5455/CUJOSTECH.260412

Turabian Style

Olayiwola, Rasaq Oyeyemi, Fadhilat Tumininu Olayiwola, Almusbahu Abdulrahim, Olamide Nurat Abdurrahman, Nasiru Omeiza Salihu, and Wachin Abdullahi Abubakar. 0. Modelling and simulation of unsteady flow of Arrhenius-type reactive Power-law fluids in multiple geometrical configurations. Confluence University Journal of Science and Technology, Online First: 17 Jul, 2026. doi:10.5455/CUJOSTECH.260412

Chicago Style

Olayiwola, Rasaq Oyeyemi, Fadhilat Tumininu Olayiwola, Almusbahu Abdulrahim, Olamide Nurat Abdurrahman, Nasiru Omeiza Salihu, and Wachin Abdullahi Abubakar. "Modelling and simulation of unsteady flow of Arrhenius-type reactive Power-law fluids in multiple geometrical configurations." Confluence University Journal of Science and Technology Online First: 17 Jul, 2026. doi:10.5455/CUJOSTECH.260412

MLA (The Modern Language Association) Style

APA (American Psychological Association) Style

Olayiwola, R. O., Olayiwola, . F. T., Abdulrahim, . A., Abdurrahman, . O. N., Salihu, . N. O. & Abubakar, . W. A. (0) Modelling and simulation of unsteady flow of Arrhenius-type reactive Power-law fluids in multiple geometrical configurations. Confluence University Journal of Science and Technology, Online First: 17 Jul, 2026. doi:10.5455/CUJOSTECH.260412

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