Author(s)

Philip Iyiola Farayola¹, Lateefat Olanike Aselebe², Tajudeen Motunrayo Asiru^1*, Kafilat Adebimpe Salaudeen¹, Saheed Dolapo Ogundiran³

¹Department of Mathematics, Emmanuel Alayande University of Education, Oyo, Nigeria.
²Directorate of General Studies (Mathematics Unit), Federal School of Surveying, Oyo, Nigeria.
³Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Nigeria.

Heat and mass transfer in porous media have critical applications in engineering, groundwater management, and oil recovery. Reactive flows, involving chemical reactions within the fluid phase, generate heat, presenting challenges in thermal systems. This study gives the theoretical and practical analysis of entropy generation in the unsteady flow of a reactive viscous fluid through a porous circular pipe under Arrhenius kinetics. The flow is modeled as an unsteady incompressible viscous fluid subjected to a pressure gradient, with constant wall temperature. Key parameters such as permeability, Prandtl number, and viscous heating are analyzed for their impact on entropy generation. Results indicate that the entropy generation peaks near the pipe wall, with maximum values observed between r = 0.8 and r = 0.9 from the centre. Entropy increases with high permeability until a critical value of 4.2887, beyond which it diverges. Similarly, increases in the Prandtl number and viscous heating parameter enhance entropy generation, particularly midway toward the wall. These findings provide insights into minimizing entropy in reactive flow systems.

Entropy Generation, Reactive Viscous Flow, Porous Pipe, Unsteady Flow, Thermodynamics, Isothermal Wall

Farayola, P. , Aselebe, L. , Asiru, T. , Salaudeen, K. and Ogundiran, S. (2025) Entropy Generation in an Unsteady Reactive Viscous Flow in a Porous Cylindrical Pipe with an Isothermal Wall. Journal of Applied Mathematics and Physics, 13, 2593-2607. doi: 10.4236/jamp.2025.138147.