DERIVATIONS FOR HOOP STRESSES DUE TO SHOCK WAVES IN A TUBE

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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 ... continued below

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Leishear, R April 30, 2007.

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Description

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.

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  • ASME Pressure Vessel and Piping Conference

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  • Report No.: PVP2007-26722
  • Grant Number: DE-AC09-96SR18500
  • Office of Scientific & Technical Information Report Number: 909863
  • Archival Resource Key: ark:/67531/metadc887490

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Office of Scientific & Technical Information Technical Reports

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  • April 30, 2007

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  • Sept. 22, 2016, 2:13 a.m.

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  • Nov. 2, 2016, 1:30 p.m.

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Leishear, R. DERIVATIONS FOR HOOP STRESSES DUE TO SHOCK WAVES IN A TUBE, article, April 30, 2007; [Aiken, South Carolina]. (digital.library.unt.edu/ark:/67531/metadc887490/: accessed October 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.