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The Navier-Stokes equations are solved exactly, assuming the Navier slip boundary condition, for flow between coaxial circular cylinders (with possibly different slip lengths at the inner and outer walls), and flow in an equilateral triangular pipe. The velocity fields and total flow rates are found analytically. A relatively small slip length can lead to a large increase in the total rate of fluid flow: in the triangular pipe case the flow doubles when the slip length is only about 7.5% of the triangle side.

Flow with Slip Between Coaxial Cylinders and in an Equilateral Triangular Pipe