ANALYSIS OF A PIPE RESTING ON WINKLER FOUNDATION AND CONVEYING A NON-NEWTONIAN FLUID
Fluid conveyance pipes are subject to vibration and the attendant dynamic stresses lead to instability and sometimes failure. The fluid inside the pipe dynamically interacts with the motion of the pipe, therefore, the material properties of the fluid are expected to play important roles on it. This paper analyzed the deformation of a pipe resting on Winkler foundation and conveying a non-Newtonian fluid. Euler-Bernoullis beam and plug flow models are employed in this work. The resulting transverse differential equation was non-dimensionalized, discretized and solved by means of the finite element method. Effects of the fluid materials and other flow conditions were computed and their implications on the pipe integrity analyzed. Natural frequency increased with flow index, Winkler foundation and mass ratios. Critical velocity also increased with Winkler foundation.