Abstract
The ciliated channel is a universal structure that is involved in organism-tube, and cilia beating makes a significant impact on bio-fluid transport. Inspired by the biological discovery of the cilia applications, in this novel study, we illustrate the characteristics of the mass transfer of non-Newtonian fluid in a ciliated channel. We assume that a metachronal wave of cilia generates a two-dimensional wavy channel. We consider Carreau materials, whose viscosities are dependent on both the infinite-shear-rate and zero-shear-rate. The transformation from fixed coordinates to moving coordinates is employed. We reduce the constitutive equations by hypotheses of small Reynolds number and wave number. The simplified system is solved via a perturbation method with a stream function. Finally, we sketch visualizations of velocity, pressure gradient, and pressure difference versus different parameters of physical interests. We analyze the effects of different boundary layers on fluid flow. Besides, graphical results for pressure rise, velocity field, and streamline are attained. This study is the provision of suggestive results in designing biomaterial nanotechnology.
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