Hemodynamic effects on peristaltic transport of non-Newtonian Bingham fluid through inclined microchannel

The present work investigates the electroosmotic peristaltic transport of a Bingham fluid through an inclined microchannel, considering variable fluid properties and compliant channel walls. The mathematical model incorporates the combined effects of electroosmotic forcing, channel inclination, velocity slip, temperature-dependent viscosity, variable thermal conductivity, and compliant wall deformation. Under the assumptions of long wavelength and low Reynolds number, the governing nonlinear equations are simplified, while the electric potential distribution is represented using the Debye–Hückel approximation. Analytical solutions are obtained via the perturbation method for the velocity, stream function, temperature, and concentration fields. The obtained results reveal that electroosmotic forcing enhances the axial velocity and improves fluid transport, while velocity slip reduces wall resistance and promotes flow movement. Furthermore, variations in liquid properties significantly alter the temperature and concentration distributions, whereas channel inclination and compliant wall parameters strongly influence the pumping performance and transport characteristics of the fluid. The main contribution of this study is the unified treatment of electroosmotic forcing, channel inclination, wall slip, variable fluid properties, and compliant-wall effects in the peristaltic transport of Bingham fluid. The practical applications of the present study include the development and optimisation of electroosmotic micropumps, targeted drug-delivery technologies, and lab-on-a-chip biomedical devices that employ non-Newtonian fluids.