The aim of this work is to study the role that the cilia motion plays in the transport of a micropolar fluid in a uniform cylindrical tube. The transport due to systems of beating cilia is responsible for the transport of bio-fluids in numerous physiological processes. Cylindrical coordinates are used to formulate the system of equations with the suitable boundary conditions governing the flow. Such system is then simplified through considering the long wavelength and low Reynolds number assumptions. Solutions are found for the velocity components, the pressure gradient, and the stream function which include many parameters such as the cilia length parameter, the eccentricity parameter of the elliptical motion and the wave number. The results shows that the pumping machinery functions more efficiently to push ahead micropolar fluid than Newtonian fluid. The obtained results may help to understand more the processes of the transport of bio-fluids in human body.
Elmaboud, Y. A. and Emam, Tarek G.
Cilia Transport for Micropolar Fluid Through a Uniform Cylindrical Tube,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 13,
1, Article 26.
Available at: https://digitalcommons.pvamu.edu/aam/vol13/iss1/26