Investigation of electroosmosis flow of copper nanoparticles with heat transfer due to metachronal rhythm

A mathematical model is explored to establish the electroosmotic flow for Cu-wa-ter nanoliquids within a ciliated symmetric micro-channel, established with aid of ciliary motion and axial pressure gradient. Nanofluid comprise Cu as nanofluid particles water base fluid. Maxwell-Garnelt exploited viscosity thermal conductivity nanoliquid. Magnetic field applied in transverse direction external electric enforced direction. Equations are simplified micro-channel by employing low Reynolds number long wavelength approximation theory. Crucial exact analytical expression gathered potential, temperature profile, velocity, volume flux, gradient, stream function, result rise per numerically. The influence crucial parameters on, behaviour, pumping phenomena, profile thoroughly investigated.