Flow Characteristics of Chemically Reactive Magnetohydrodynamic non-Newtonian Fluid with Injection/Suction Effects through Rough Channel

Articles in Press

Document Type : Research Paper

Authors
Nasreen Fathima 1
Manjunatha Gudekote 1
Prathiksha Sanil 1
Rajashekhar Choudhari 2
Hanumesh Vaidya 3
Kerehalli Vinayaka Prasad 3
1 Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal-576104, India
2 Department of Mathematics, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher Education, Bengaluru-560063, India
3 Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Bellary-583105, India
10.22055/jacm.2026.48548.5317
Abstract
The present mathematical model investigates the behaviour of magnetohydrodynamic peristaltic transport of non-Newtonian Ree-Eyring fluid in a non-uniform, rough channel embedded within a porous medium. The model is developed by incorporating critical physical phenomena like internal heat generation, wall roughness, slip, and injection/suction effects. The complex interaction of magnetic fields and buoyancy forces with chemical reaction kinetics and thermal gradients is analysed to understand their effects on flow characteristics. The governing nonlinear equations are modelled using the Navier-Stokes equations and are simplified under long wavelength and low Reynolds number regimes. Analytical solutions provide clear insights into the influence of wall roughness, slip, porosity, and electromagnetic forces on the fluid flow characteristics. The graphical outcomes and streamlines obtained using MATLAB R2024b gave a clearer understanding of the flow characteristics in the domain. The magnetohydrodynamic effect provides precise control over fluid flow, while slip and roughness effects cut down the shear stress and energy. The injection/suction mechanism allows regulation of flow rates and removal of products, optimizing chemical reaction efficiency, heat transfer, and mass transport in processes such as polymerization, biochemical reactions, and chemical manufacturing. The current work advances the understanding required for the design of energy efficient, high performance peristaltic transport systems in both industrial and biomedical applications.
Keywords
Ree-Eyring fluid
Injection/suction parameter
Surface roughness
Mixed convection
Slip effects
Subjects

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Available Online from 04 April 2026