The Effect of Random Inhomogeneities of Pipe Cross-Sectional Area on Wave Propagation

Proceedings of the 34th IAHR World Congress 2011
H.-F. Duan, J.L. Lu, Andrejs Koliškins, Mohamed Ghidaoui

Method of multiple scales is used in the present paper to derive an amplitude evolution equation for wave propagation in pipes where the area of the pipe contains random component. The derivation is based on one-dimensional linearized water hammer equation for pipe flows. Analytical results and numerical simulations confirm that waves are attenuated if the area of the pipe changes randomly along the longitudinal direction provided that the amplitude of the random component is small in comparison with the area of the pipe.

Keywords
random inhomogeneities, wave propagation, method of multiple scales

Duan, H., Lu, J., Koliškins, A., Ghidaoui, M. The Effect of Random Inhomogeneities of Pipe Cross-Sectional Area on Wave Propagation. In: Proceedings of the 34th IAHR World Congress, Australia, Brisbane, 26 Jun-1 Jul., 2011. Brisbane: Engineers Australia, 2011, pp.2273-2280. ISBN 978-0-85825-868-6.

Publication language
English (en)