A general treatment of acoustic cavitation for the case of one-dimensional pipe flows is presented, including both fluid dynamics instabilities, which can occur at cavitation inception, and non-equilibrium effects during bubble dynamics. Different approaches to cavitation modelling are also considered and compared. A novel barotropic cavitation model has been developed, based on the partial differential equations governing the mass conservation and momentum balance. The analytical expression for the vapour source term driving cavitation has been carried out by means of the energy conservation equation and a general formula for the sound speed in homogeneous bubbly flows has been used. A newly developed high-resolution, conservative, implicit, second-order accurate numerical scheme was applied to solve the Euler’s hyperbolic equations governing the pipe flow. It gave reduced oscillation problems at the discontinuities that were induced by cavitation. The resultant computational model was assessed through its application to a literature test-case, which involved a pipe connecting two constant-pressure reservoirs, water being the working fluid. The prediction outcomes were discussed so as to underline the most interesting fluid-dynamic phenomena, such as the dynamics of shock waves arising at cavitation collapse. The influence of the frequency-dependent friction model on the simulation of the pressure wave dynamics in the presence of cavitation was also analysed.
Skip Nav Destination
ASME 2006 2nd Joint U.S.-European Fluids Engineering Summer Meeting Collocated With the 14th International Conference on Nuclear Engineering
July 17–20, 2006
Miami, Florida, USA
Conference Sponsors:
- Fluids Engineering Division
ISBN:
0-7918-4750-0
PROCEEDINGS PAPER
Acoustic Cavitation Thermodynamic Modeling in Transmission Pipelines by an Implicit Conservative High-Resolution Numerical Algorithm
A. E. Catania,
A. E. Catania
Politecnico di Torino, Torino, Italy
Search for other works by this author on:
A. Ferrari,
A. Ferrari
Politecnico di Torino, Torino, Italy
Search for other works by this author on:
M. Manno
M. Manno
Universita` degli Studi di Roma “Tor Vergata”, Rome, Italy
Search for other works by this author on:
A. E. Catania
Politecnico di Torino, Torino, Italy
A. Ferrari
Politecnico di Torino, Torino, Italy
M. Manno
Universita` degli Studi di Roma “Tor Vergata”, Rome, Italy
Paper No:
FEDSM2006-98272, pp. 1807-1821; 15 pages
Published Online:
September 5, 2008
Citation
Catania, AE, Ferrari, A, & Manno, M. "Acoustic Cavitation Thermodynamic Modeling in Transmission Pipelines by an Implicit Conservative High-Resolution Numerical Algorithm." Proceedings of the ASME 2006 2nd Joint U.S.-European Fluids Engineering Summer Meeting Collocated With the 14th International Conference on Nuclear Engineering. Volume 1: Symposia, Parts A and B. Miami, Florida, USA. July 17–20, 2006. pp. 1807-1821. ASME. https://doi.org/10.1115/FEDSM2006-98272
Download citation file:
6
Views
Related Proceedings Papers
Related Articles
Direct Numerical Simulation of Bubbly Flows and Application to Cavitation Mitigation
J. Fluids Eng (May,2007)
Turbulence and Phase Distribution in Bubbly Pipe Flow Under Microgravity Condition
J. Fluids Eng (December,2002)
Effects of Nuclei Size Distribution on the Dynamics of a Spherical Cloud of Cavitation Bubbles
J. Fluids Eng (December,1999)
Related Chapters
Dynamic Behavior of Pumping Systems
Pipeline Pumping and Compression Systems: A Practical Approach
Erosive Aggressiveness of Collapsing Cavitating Structures
Proceedings of the 10th International Symposium on Cavitation (CAV2018)
Experimental Investigation of Ventilated Supercavitation Under Unsteady Conditions
Proceedings of the 10th International Symposium on Cavitation (CAV2018)