Magnetohydrodynamic Peristaltic Propulsion of Casson Nanofluids With Slip Effects Over Heterogeneous Rough Channel

ABSTRACT The significance of this study is to understand the complex interplay between fluid flow and surface roughness. Modeling surface roughness adds a new dimension for examining fluid dynamics, which is essential for understanding phenomena like drag force, heat transfer, and mass transfer. In this context, the aim of the present work focuses on modeling the magnetohydrodynamic peristaltic slip flow of Casson nanofluid and analyzing the role of multiple slip effects over a non‐uniform rough channel. A novel rough non‐uniform model is effectively governed by a set of nonlinear coupled governing partial differential equations, which are simplified under long wavelength and creeping flow approximations. The resulting simplified equations are solved numerically using Mathematica's built‐in ND‐Solve tool. The study primarily examines the velocity, temperature, and concentration profiles graphically for various pertinent physiological parameters. Additionally, engineering interests like skin friction coefficients, Nusselt numbers, and Sherwood numbers are reported in tabular form, revealing intrinsic flow oscillations. The results are further explored by analyzing pressure drop, friction force, and bolus shapes created by the sinusoidal motion of the fluid. Such insights are vital for comprehending internal fluctuations during peristaltic transport. In summary, skin friction and Nusselt numbers are typically higher for rough versus smooth surfaces. Also, roughness induces stresses, conductive‐convective heat transfer, and viscous effects. Further, magnetically activated rough surfaces and nanoparticle interactions create flux balances. Magnetic effects reduce bolus size due to resistive forces. The findings of this study have important applications in biomedical engineering, aerospace engineering, heat transfer enhancement, and environmental remediation.