Mixed convection peristaltic transport of a Bingham fluid in a porous medium with variable properties under homogeneous permeability and localized magnetic force

This study investigated the mixed convective peristaltic transport of an incompressible viscoplastic fluid in a two-dimensional symmetric channel embedded with a novel porous structure of homogeneous permeability distributed uniformly along the channel walls. The fluid rheology is modelled using the Bingham Plastic Model, while the effects of an externally applied transverse magnetic field and buoyancy-driven heat transfer are incorporated through magnetohydrodynamic considerations and the Boussinesq approximation, respectively. The governing nonlinear equations are transformed into the wave frame using a Galilean transformation and simplified under the assumptions of long wavelength and low Reynolds number. Approximate analytical solutions are obtained using a regular perturbation method for small values of the Grashof and Bingham numbers. The analytical results are validated against numerical solutions computed using MATLAB bvp4c solver, showing excellent agreement. A detailed parametric analysis is conducted to examine the influence of key physical parameters on the velocity and temperature fields. The results indicate that increasing the Bingham number significantly suppresses the peak velocity by approximately 54% and enlarges the plug-flow region due to enhanced viscoplastic resistance. Simultaneously, the temperature distribution becomes flatter, with a reduction of nearly 72% in peak thermal intensity, indicating improved thermal regulation. The findings offer potential applications in targeted drug delivery, industrial slurry transport, bio-reactor stability and heat-assisted transport processes in porous media.