Abstract The investigation of ferrofluid flow through flexible channel holds significant importance in various fields, including biomedical engineering, microfluidic devices, and magnetohydrodynamic (MHD) pumping systems. This study examines the flow of a hydrocarbon‐based ferrofluid flow within a flexible wavy channel under the combined effects of velocity slip and temperature jump conditions. The novelty of this work lies in the unified analysis of double‐slip boundary conditions together with magnetic field interactions, oscillatory Reynolds number, wave amplitude, and wave steepness parameters. A similarity transformation is employed to convert the governing momentum and energy equations into a set of coupled, nonlinear ordinary differential equations as functions of leading dimensionless key parameters. The transformed system is numerically solved using MATLAB R2023a, to obtain the detailed graphical presentations for velocity and temperature fields. The results reveal that the axial velocity is enhanced by the magnetic interaction parameter and oscillatory Reynolds number, whereas, the tangential velocity exhibits an opposite trend with these parameters. Notably, lower wave amplitude induces stronger thermal variations, whereas, higher wave amplitude smoothens these fluctuations. At lower magnetic interactions, distinct dipole‐like streamline patterns with strong recirculation zones are observed, which gradually diminish with stronger magnetic interactions. Moreover, increasing the velocity slip parameter reduces the skin‐friction coefficient by nearly 33% and the Nusselt number by about 9%, while higher oscillatory Reynolds numbers strengthen convective transport, leading to a 47% increase in the Nusselt number at the lower‐wall. This study contributes to the advancement of magnetically actuated pumping systems, improving the efficiency of various medical, industrial, and microfluidic equipment.
Singh et al. (Fri,) studied this question.