Effect of Boundary Conditions on the Stability of a Cantilever Pipe Discharging and Aspirating Fluid

摘要

In this paper, the governing equation for a pipe conveying fluid is modified by including the influence of the following factors: (1) differences in pressure within and around the pipe; (2) boundary conditions of the fluid and the pipe. The solution of the new general basic equation depends on the boundary conditions. Application of the new equation to a cantilever pipe discharging fluid gives a result closer than the previous ones to the experimental value. The critical speed obtained from the new theory for the cantilever pipe aspirating fluid is higher than that obtained from the previous theory.