TY  - JOUR
AU  - Abubakar, Jos Usman
AU  - Oyekunle, Timothy Lanre
AU  - Akolade, Mojeed Taiwo
AU  - Agunbiade, Samson Ademola
AU  - Oladeji, Ruth Blessing
AU  - Olotu, Thomas Olanrewaju
PY  - 2026
DA  - 2026/04/25
TI  - Radiative and Viscous Dissipative Flow of a Chemically Reacting MHD Casson Nanofluid over an Inclined Slippery Stretching Surface with Non-Darcian Medium
JO  - ICCK Journal of Applied Mathematics
T2  - ICCK Journal of Applied Mathematics
JF  - ICCK Journal of Applied Mathematics
VL  - 2
IS  - 2
SP  - 153
EP  - 165
DO  - 10.62762/JAM.2026.785346
UR  - https://www.icck.org/article/abs/JAM.2026.785346
KW  - viscous dissipation
KW  - forchheimer effect
KW  - casson nanofluid
KW  - legendre polynomial
AB  - The study of coupled reaction transport in Casson rheology bridges the gap between idealized Newtonian models and practical non-Newtonian fluids, as chemically reacting nanoparticles alter the concentration and thermal behavior of the base fluid. This complexity intensifies when nanoparticles are introduced into conventional refrigerants. This work presents a unified investigation of radiative and viscous dissipative magnetohydrodynamic flow of a chemically reacting Casson nanofluid over an inclined slippery stretching surface embedded in a non-Darcy porous medium. The simultaneous consideration of Casson rheology, nanoparticle-enhanced heat transfer, magnetic control, surface slip, chemical reaction, and inertial porous effects offers a realistic model for high-temperature industrial, biomedical, and energy applications. Using similarity transformations, the governing partial differential equations are reduced to dimensionless coupled nonlinear ordinary differential equations, which are solved via the Legendre collocation technique. Numerical results, presented in tables and graphs, show that velocity and temperature increase with higher radiation parameter, while nanoparticle volume fraction decreases. Temperature rises with increasing Eckert number and heat source parameter. Higher slip parameter reduces temperature, wall shear stress, and near-surface chemical concentration. These findings provide insight for optimizing thermal performance, reaction efficiency, and flow control in complex engineering and bioengineering systems.
SN  - 3068-5656
PB  - Institute of Central Computation and Knowledge
LA  - English
ER  - 

@article{Abubakar2026Radiative,
  author = {Jos Usman Abubakar and Timothy Lanre Oyekunle and Mojeed Taiwo Akolade and Samson Ademola Agunbiade and Ruth Blessing Oladeji and Thomas Olanrewaju Olotu},
  title = {Radiative and Viscous Dissipative Flow of a Chemically Reacting MHD Casson Nanofluid over an Inclined Slippery Stretching Surface with Non-Darcian Medium},
  journal = {ICCK Journal of Applied Mathematics},
  year = {2026},
  volume = {2},
  number = {2},
  pages = {153-165},
  doi = {10.62762/JAM.2026.785346},
  url = {https://www.icck.org/article/abs/JAM.2026.785346},
  abstract = {The study of coupled reaction transport in Casson rheology bridges the gap between idealized Newtonian models and practical non-Newtonian fluids, as chemically reacting nanoparticles alter the concentration and thermal behavior of the base fluid. This complexity intensifies when nanoparticles are introduced into conventional refrigerants. This work presents a unified investigation of radiative and viscous dissipative magnetohydrodynamic flow of a chemically reacting Casson nanofluid over an inclined slippery stretching surface embedded in a non-Darcy porous medium. The simultaneous consideration of Casson rheology, nanoparticle-enhanced heat transfer, magnetic control, surface slip, chemical reaction, and inertial porous effects offers a realistic model for high-temperature industrial, biomedical, and energy applications. Using similarity transformations, the governing partial differential equations are reduced to dimensionless coupled nonlinear ordinary differential equations, which are solved via the Legendre collocation technique. Numerical results, presented in tables and graphs, show that velocity and temperature increase with higher radiation parameter, while nanoparticle volume fraction decreases. Temperature rises with increasing Eckert number and heat source parameter. Higher slip parameter reduces temperature, wall shear stress, and near-surface chemical concentration. These findings provide insight for optimizing thermal performance, reaction efficiency, and flow control in complex engineering and bioengineering systems.},
  keywords = {viscous dissipation, forchheimer effect, casson nanofluid, legendre polynomial},
  issn = {3068-5656},
  publisher = {Institute of Central Computation and Knowledge}
}