Surface roughness analysis of cilia-driven flow for shear-thinning fluid inside a horizontal passage

The underlying investigation reports the impact of surface roughness on the mechanism of ciliary transport of Carreau–Yasuda (C–Y) liquid through a horizontal passage. The considered equations are further simplified with the help of a low Reynolds number and large wavelength approximation. The resulting boundary value problem is numerically tackled with the MATLAB built-in function bvp5c. The impact of sundry parameters on physical quantities is examined through graphical representation. The results indicate that the influence of roughness cannot be ignored during the cilia-driven channel flow, as a significant impact of roughness is observed on velocity, pressure, pressure rise, and streamlines. For several non-Newtonian pumping analysis with rough surface, this evaluation will serve as a benchmark. The current findings will also be applied to the creation of new medical pumps for transportation phenomena.