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Title: Heat and mass transfer during a sudden loss of vacuum in a liquid helium cooled tube – Part II: Theoretical modeling

Abstract

A sudden loss of vacuum in particle accelerator beamlines and other cryogenic systems can lead to substantial equipment damage and possible personnel injuries. Developing a clear understanding of the complex dynamical heat and mass transfer processes involved following a sudden vacuum break is of great importance for the safe operation of these systems. Our past experimental studies on sudden vacuum break in a liquid helium cooled tube revealed a nearly exponential slowing down of the propagating gas front. However, the underlying mechanism of this slowing down is not fully explained. In this paper, we discuss a theoretical framework that systematically describes the gas dynamics, heat transfer, and mass deposition of the propagating and condensing gas inside the helium-cooled tube. The experimentally observed apparent gas-front propagation, measured as the abrupt temperature rise by the thermometers installed along the tube wall, can be well reproduced by the model simulation. We also show that following the gas front, the mass deposition rate of the gas on the tube inner wall approaches a constant. The extension of this nearly constant gas deposition zone is the key to understand the observed exponential slowing of the gas propagation. Our model also allows us to gain valuablemore » insights about the growth of the frost layer on the tube inner surface. This work paves the way for a theoretical understanding of the physical processes involved during vacuum break in accelerator beamlines.« less

Authors:
 [1];  [2]; ORCiD logo [2]
  1. National High Magnetic Field Laboratory, Tallahassee, FL (United States)
  2. National High Magnetic Field Laboratory, Tallahassee, FL (United States); Florida State University, Tallahassee, FL (United States)
Publication Date:
Research Org.:
Florida State Univ., Tallahassee, FL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1657831
Alternate Identifier(s):
OSTI ID: 1701814; OSTI ID: 1774793
Report Number(s):
DOE-FEU-DE-SC0020113
Journal ID: ISSN 0017-9310; TRN: US2203294
Grant/Contract Number:  
SC0020113; DMR-1644779
Resource Type:
Accepted Manuscript
Journal Name:
International Journal of Heat and Mass Transfer
Additional Journal Information:
Journal Volume: 146; Journal ID: ISSN 0017-9310
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 43 PARTICLE ACCELERATORS; 42 ENGINEERING; Gas propagation; Loss of vacuum; Superfluid helium; Cryogenics; Particle accelerator

Citation Formats

Bao, Shiran, Garceau, Nathaniel, and Guo, Wei. Heat and mass transfer during a sudden loss of vacuum in a liquid helium cooled tube – Part II: Theoretical modeling. United States: N. p., 2019. Web. doi:10.1016/j.ijheatmasstransfer.2019.118883.
Bao, Shiran, Garceau, Nathaniel, & Guo, Wei. Heat and mass transfer during a sudden loss of vacuum in a liquid helium cooled tube – Part II: Theoretical modeling. United States. https://doi.org/10.1016/j.ijheatmasstransfer.2019.118883
Bao, Shiran, Garceau, Nathaniel, and Guo, Wei. Tue . "Heat and mass transfer during a sudden loss of vacuum in a liquid helium cooled tube – Part II: Theoretical modeling". United States. https://doi.org/10.1016/j.ijheatmasstransfer.2019.118883. https://www.osti.gov/servlets/purl/1657831.
@article{osti_1657831,
title = {Heat and mass transfer during a sudden loss of vacuum in a liquid helium cooled tube – Part II: Theoretical modeling},
author = {Bao, Shiran and Garceau, Nathaniel and Guo, Wei},
abstractNote = {A sudden loss of vacuum in particle accelerator beamlines and other cryogenic systems can lead to substantial equipment damage and possible personnel injuries. Developing a clear understanding of the complex dynamical heat and mass transfer processes involved following a sudden vacuum break is of great importance for the safe operation of these systems. Our past experimental studies on sudden vacuum break in a liquid helium cooled tube revealed a nearly exponential slowing down of the propagating gas front. However, the underlying mechanism of this slowing down is not fully explained. In this paper, we discuss a theoretical framework that systematically describes the gas dynamics, heat transfer, and mass deposition of the propagating and condensing gas inside the helium-cooled tube. The experimentally observed apparent gas-front propagation, measured as the abrupt temperature rise by the thermometers installed along the tube wall, can be well reproduced by the model simulation. We also show that following the gas front, the mass deposition rate of the gas on the tube inner wall approaches a constant. The extension of this nearly constant gas deposition zone is the key to understand the observed exponential slowing of the gas propagation. Our model also allows us to gain valuable insights about the growth of the frost layer on the tube inner surface. This work paves the way for a theoretical understanding of the physical processes involved during vacuum break in accelerator beamlines.},
doi = {10.1016/j.ijheatmasstransfer.2019.118883},
journal = {International Journal of Heat and Mass Transfer},
number = ,
volume = 146,
place = {United States},
year = {2019},
month = {10}
}

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Cited by: 2 works
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Figures / Tables:

Figure 1 Figure 1: Schematic showing the propagation and deposition of GN2 in a He I cooled vacuum tube.

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Works referenced in this record:

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