DERIVATIONS FOR HOOP STRESSES DUE TO SHOCK WAVES IN A TUBE
Abstract
Equations describing the hoop stresses in a pipe due to water hammer have been presented in the literature in a series of papers, and this paper discusses the complete derivation of the pertinent equation. The derivation considers the pipe wall response to a water hammer induced shock wave moving along the inner wall of the pipe. Factors such as fluid properties, pipe wall materials, pipe dimensions, and damping are considered. These factors are combined to present a single, albeit rather complicated, equation to describe the pipe wall vibrations and hoop stresses as a function of time. This equation is also compared to another theoretical prediction for hoop stresses, which is also derived herein. Specifically, the two theories predict different maximum stresses, and the differences between these predictions are graphically displayed.
 Authors:
 Publication Date:
 Research Org.:
 SRS
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 909863
 Report Number(s):
 PVP200726722
TRN: US200723%%56
 DOE Contract Number:
 DEAC0996SR18500
 Resource Type:
 Conference
 Resource Relation:
 Conference: ASME Pressure Vessel and Piping Conference
 Country of Publication:
 United States
 Language:
 English
 Subject:
 42 ENGINEERING; EQUATIONS; DAMPING; SHOCK WAVES; STRESSES; WATER HAMMER; PIPES; WALLS; WAVE PROPAGATION; MECHANICAL VIBRATIONS
Citation Formats
Leishear, R. DERIVATIONS FOR HOOP STRESSES DUE TO SHOCK WAVES IN A TUBE. United States: N. p., 2007.
Web.
Leishear, R. DERIVATIONS FOR HOOP STRESSES DUE TO SHOCK WAVES IN A TUBE. United States.
Leishear, R. Mon .
"DERIVATIONS FOR HOOP STRESSES DUE TO SHOCK WAVES IN A TUBE". United States.
doi:. https://www.osti.gov/servlets/purl/909863.
@article{osti_909863,
title = {DERIVATIONS FOR HOOP STRESSES DUE TO SHOCK WAVES IN A TUBE},
author = {Leishear, R},
abstractNote = {Equations describing the hoop stresses in a pipe due to water hammer have been presented in the literature in a series of papers, and this paper discusses the complete derivation of the pertinent equation. The derivation considers the pipe wall response to a water hammer induced shock wave moving along the inner wall of the pipe. Factors such as fluid properties, pipe wall materials, pipe dimensions, and damping are considered. These factors are combined to present a single, albeit rather complicated, equation to describe the pipe wall vibrations and hoop stresses as a function of time. This equation is also compared to another theoretical prediction for hoop stresses, which is also derived herein. Specifically, the two theories predict different maximum stresses, and the differences between these predictions are graphically displayed.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Apr 30 00:00:00 EDT 2007},
month = {Mon Apr 30 00:00:00 EDT 2007}
}

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