| Abstract: | The equation of motion for laminar Couette flow of an incompressible Newtonian fluid, induced by the eccentric longitudinal motion of a long circular cylinder in a circular pipe, is solved analytically. Expressions are obtained and typical plots presented for local velocity distribution, local shear stress distributions on both the surface of the pipe wall and the surface of the cylindrical core, total drag force on both pipe wall and moving core, twisting moment on the core, and volumetric flow rate of the liquid. As the eccentricity approaches unity, the solution for flow rate is shown to coincide exactly with a practical formula developed by Kruyer and Ellis to represent the Couette flow induced by the motion of cylindrical capsules. |
