Chapter
Jul 28, 2022

Evaluating Joukowsky Equation Application in a Flexible Pipeline for a Rapid Valve Closure

Publication: Pipelines 2022

ABSTRACT

The Joukowsky equation has been used to estimate the surge pressure in a pipeline system for a rapid valve closure. This practice is validated for a metallic pipeline system but becomes problematic for a flexible pipeline system. Charts of dimensionless surge pressures versus dimensionless valve closure times, obtained from transient and parametric simulations on three hypothetical pipeline systems with steel, HDPE, and hose, showed that dimensionless pressures are equal to 1 for the steel pipeline system but larger than 1 for both flexible pipeline systems. The simulations also showed that the maximum transient pressures, including line packs, are decreased with larger dimensionless times due to transient wave attenuations. Although the Joukowsky equation can predict the surge pressure for any pipe materials in an instantaneous valve closure, it underestimates them for both the flexible pipeline systems in a rapid valve closure.

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REFERENCES

Carmona-Paredes, R., Autrique, R.-C. B., and Paniagua-Lovera, D. (2019). “A new method to calculate hydraulic transients in HDPE pipes using the standard solid model to represent the HDPE viscoelastic behavior.” IOP 2019 Conference, Series, Earth Environment Science 240.
Walters, T., and Leishear, R. (2019). “When the Joukowsky Equation Does Not Predict Maximum Water Hammer Pressures.” Journal of Pressure Vessel Technology, December 2019, Vol. 141.
Li, G. (2015). “Maximum Transient Pressures in Batch Pipelines Due to Valve Closures.” Pipelines 2015, ASCE, Baltimore, Maryland, August 23-26, 2015.
Li, G., Rostamy, N., and Bidmus, H. (2021). “Surge Phenomena in Marine Hoses of Offshore Loading Systems.” PSIG 2021, Virtual Conference, May 3-7, 2021.
Li, G. (2020). “Surge Phenomenon during Slow Valve Closures in Short Pipelines.” Pipelines 2020, Virtual Conference, August 9-12, 2020.
Lindeburg, M. R. (2006). Mechanical Engineering Reference Manual for the PE Exam, Professional Publications, Inc. CA.

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Pipelines 2022
Pages: 138 - 145

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Published online: Jul 28, 2022

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