Synergistic effects of magnetic field and nanoparticle dynamics on peristaltic transport of non-newtonian fluid in wavy channel

The wavy channel configurations have gained importance to improve transport phenomena in biological and engineering processes such as biomedical equipment, micro-flows, heat exchangers, and cooling systems, among others. With this in mind, the current research explores the peristaltic flow phenomenon of Ree-Eyring liquid in an inclined wavy channel taking into account the effect of both the magnetic field and nanoparticles transport mechanism using the Buongiorno's approach. The resulting nonlinear coupled partial differential equations for momentum, temperature, and nanoparticle volume fraction are transformed into nonlinear ordinary differential equations using long wavelength and low Reynolds number assumptions and solved analytically via OHAM technique. In the present investigation, the effect of different parameters on velocity distribution, temperature distribution, and concentration distribution is analyzed, and various other parameters of engineering interest such as skin friction, Nusselt number, Sherwood number, pressure gradient, and volume flux are also studied. It was observed that the presence of magnetic field opposes the movement of fluid by virtue of Lorentz force, and, on the other hand, the phenomenon of thermophoresis helps enhance thermal convection, whereas Brownian motion plays an important role in increasing the movement of nanoparticles. This interplay of different phenomena provides better understanding about the coupled flow mechanisms and its effective control.