Analytical Solution of Flow of Second-Order Non-Newtonian Fluid through Annular Pipes

This paper presents an analytical solution to the unsteady flow of one kind of second-order non-Newtonian fluid by the use of integral transformation,simulates the results,analyses the effect of non-Newtonian coefficient He and other parameters on the flow and shows that when He keeps the same the annular flow has a shorter characteristic time than the general pipe flow and the correspondent velocity and average velocity have a smaller value.When r₁/r₂(η)remains unchanged,the shear stress of inner wall of annular flow changes with the inner radius r₁ compared with the general pipe flow and is always smaller than that of the outer wall.