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Detailed structure of pipe flow with water hammer oscillations
Abstract
Herein, the evolution and detailed structure of velocity and pressure fields of an oscillating axi-symmetric pipe flow arising from a rapid closure of a valve has been determined through the solution, by the Finite Volume technique, of the full Navier Stokes equations. The method correctly predicts the distortion of the pressure waveform. The two-dimensional solution obtained confirms the one-dimensional solution obtained by the Method of Characteristics of the two-equation model incorporating frequency dependent friction typically used in modelling of transient pipe flows.
The velocity field following valve closure is seen to consist of the initial velocity profile upon which is superimposed an oscillating velocity component. The oscillating component is uniform in a pipe cross-section, at any instant. However, the profiles of initial steady state flow component and the uniform oscillating flow component are progressively distorted as the cumulative distance traversed by the wave increases.
Journal of Agriculture, Science & Technology Vol. 9 (1) 2007: pp. 64-77
