Rollover Prevention Model for Stratified Liquefied Natural Gas in Storage Tanks

At least 24 liquefied natural gas (LNG) rollover incidents have been reported since 1960. During rollover, because of the heat ingress through the tank walls, a stratified LNG may be suddenly homogenized while releasing massive amounts of vapor. It can result in an overpressure in the tank and signi...

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Published inEnergies (Basel) Vol. 16; no. 22; p. 7666
Main Authors Włodek, Tomasz, Łaciak, Mariusz
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.11.2023
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Abstract At least 24 liquefied natural gas (LNG) rollover incidents have been reported since 1960. During rollover, because of the heat ingress through the tank walls, a stratified LNG may be suddenly homogenized while releasing massive amounts of vapor. It can result in an overpressure in the tank and significant amounts of potentially explosive LNG vapor being vented out. Both of these factors represent considerable hazards. Rollover is a physical mixing process in a single tank with two or more different cells of LNG of different compositions, temperatures, and densities that can manifest in large boil-off rates. It can exceed venting equipment capacities, and vapor pressure in tank increases rapidly and in extreme cases can lead to tank damage. This paper presents numerical approach for determination of time of rollover occurrence in storage tank. The presented model is based on the energy balance of the stratified cryogenic liquid and the gas phase as separate three thermodynamic systems in the storage tank. As a result of proposed model, for the adopted assumptions and cylindrical tank volume of 78,500 m3, the approximate time of the rollover occurrence was determined for two cases. In the first case, for heavier LNG, the rollover phenomenon will occur 193.25 h after the start of the calculations from the assumed initial conditions. In the second case, for light LNG with a higher initial liquid level in the tank, the rollover will occur after 150.25 h.
AbstractList At least 24 liquefied natural gas (LNG) rollover incidents have been reported since 1960. During rollover, because of the heat ingress through the tank walls, a stratified LNG may be suddenly homogenized while releasing massive amounts of vapor. It can result in an overpressure in the tank and significant amounts of potentially explosive LNG vapor being vented out. Both of these factors represent considerable hazards. Rollover is a physical mixing process in a single tank with two or more different cells of LNG of different compositions, temperatures, and densities that can manifest in large boil-off rates. It can exceed venting equipment capacities, and vapor pressure in tank increases rapidly and in extreme cases can lead to tank damage. This paper presents numerical approach for determination of time of rollover occurrence in storage tank. The presented model is based on the energy balance of the stratified cryogenic liquid and the gas phase as separate three thermodynamic systems in the storage tank. As a result of proposed model, for the adopted assumptions and cylindrical tank volume of 78,500 m[sup.3], the approximate time of the rollover occurrence was determined for two cases. In the first case, for heavier LNG, the rollover phenomenon will occur 193.25 h after the start of the calculations from the assumed initial conditions. In the second case, for light LNG with a higher initial liquid level in the tank, the rollover will occur after 150.25 h.
At least 24 liquefied natural gas (LNG) rollover incidents have been reported since 1960. During rollover, because of the heat ingress through the tank walls, a stratified LNG may be suddenly homogenized while releasing massive amounts of vapor. It can result in an overpressure in the tank and significant amounts of potentially explosive LNG vapor being vented out. Both of these factors represent considerable hazards. Rollover is a physical mixing process in a single tank with two or more different cells of LNG of different compositions, temperatures, and densities that can manifest in large boil-off rates. It can exceed venting equipment capacities, and vapor pressure in tank increases rapidly and in extreme cases can lead to tank damage. This paper presents numerical approach for determination of time of rollover occurrence in storage tank. The presented model is based on the energy balance of the stratified cryogenic liquid and the gas phase as separate three thermodynamic systems in the storage tank. As a result of proposed model, for the adopted assumptions and cylindrical tank volume of 78,500 m3, the approximate time of the rollover occurrence was determined for two cases. In the first case, for heavier LNG, the rollover phenomenon will occur 193.25 h after the start of the calculations from the assumed initial conditions. In the second case, for light LNG with a higher initial liquid level in the tank, the rollover will occur after 150.25 h.
Audience Academic
Author Włodek, Tomasz
Łaciak, Mariusz
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Cites_doi 10.1016/j.energy.2019.02.174
10.1007/s11668-019-00739-2
10.1021/acs.iecr.0c02546
10.1002/aic.14254
10.1016/S0017-9310(96)00218-9
10.1002/aic.690290205
10.1016/j.cej.2011.03.025
10.1016/j.apenergy.2009.10.023
10.1016/j.jlp.2019.103922
10.1016/j.ijhydene.2013.01.116
10.1115/1.2905997
10.1016/j.ijheatmasstransfer.2013.06.072
10.1007/978-3-319-20696-7
10.3390/jmse9010095
10.1016/j.jngse.2015.06.056
10.29252/jafm.11.03.27796
10.1016/j.jlp.2018.04.007
10.1016/0894-1777(94)00125-R
10.1016/j.energy.2017.02.068
10.1063/1.2827488
10.1016/j.expthermflusci.2013.04.021
10.1016/0011-2275(93)90004-8
10.3390/pr10071360
10.1016/j.ngib.2018.05.001
10.1016/j.fuel.2016.02.070
10.1021/ie404128d
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References ref_50
Munakata (ref_20) 1995; 317
Zakaria (ref_36) 2019; 19
Kulitsa (ref_47) 2018; 5
Zhao (ref_39) 2018; 11
ref_51
ref_17
ref_16
Shi (ref_31) 2013; 50
ref_15
Sarsten (ref_3) 1972; 199
Sheats (ref_22) 1999; 15
Gursu (ref_18) 1993; 115
Deshpande (ref_14) 2011; 170
ref_25
ref_24
ref_23
Miana (ref_46) 2016; 177
Hubert (ref_5) 2019; 62
ref_28
(ref_49) 2013; 58
Bates (ref_13) 1997; 40
Saleem (ref_40) 2020; 59
Zimmerman (ref_27) 2007; 19
ref_33
Migliore (ref_32) 2017; 124
Tanasawa (ref_21) 1995; 10
Arjomandnia (ref_26) 2013; 60
(ref_48) 2015; 60
ref_38
ref_37
Miana (ref_45) 2010; 87
Heestand (ref_12) 1983; 29
Ludwig (ref_29) 2013; 66
Huerta (ref_52) 2019; 174
Baker (ref_4) 1996; 74
Pellegrini (ref_35) 2014; 53
Shi (ref_19) 1993; 33
Kulitsa (ref_6) 2018; 54
ref_44
ref_43
ref_42
ref_41
ref_1
Ren (ref_30) 2013; 38
Germeles (ref_11) 1975; 21
ref_2
ref_9
Chatterjee (ref_10) 1972; 99
Migliore (ref_34) 2015; 26
ref_7
Morioka (ref_8) 1984; 12
References_xml – ident: ref_9
– volume: 174
  start-page: 280
  year: 2019
  ident: ref_52
  article-title: A realistic vapour phase heat transfer model for the weathering of LNG stored in large tanks
  publication-title: Energy
  doi: 10.1016/j.energy.2019.02.174
  contributor:
    fullname: Huerta
– volume: 74
  start-page: 25
  year: 1996
  ident: ref_4
  article-title: Stratification and rollover in liquefied natural gas storage tanks
  publication-title: Trans. IChemE 74 (Part B)
  contributor:
    fullname: Baker
– ident: ref_51
– volume: 199
  start-page: 37
  year: 1972
  ident: ref_3
  article-title: LNG stratification and rollover
  publication-title: Pipeline Gas J.
  contributor:
    fullname: Sarsten
– volume: 19
  start-page: 1439
  year: 2019
  ident: ref_36
  article-title: Rollover Phenomenon in Liquefied Natural Gas Storage Tank
  publication-title: J. Fail. Anal. Prev.
  doi: 10.1007/s11668-019-00739-2
  contributor:
    fullname: Zakaria
– ident: ref_16
– ident: ref_42
– ident: ref_1
– volume: 59
  start-page: 14126
  year: 2020
  ident: ref_40
  article-title: CFD Analysis of Stratification and Rollover Phenomena in an Industrial-Scale LNG Storage Tank
  publication-title: Ind. Eng. Chem. Res.
  doi: 10.1021/acs.iecr.0c02546
  contributor:
    fullname: Saleem
– ident: ref_23
– volume: 60
  start-page: 362
  year: 2013
  ident: ref_26
  article-title: Analysis of available data from liquefied natural gas rollover incidents to determine critical stability ratios
  publication-title: AIChE J.
  doi: 10.1002/aic.14254
  contributor:
    fullname: Arjomandnia
– volume: 40
  start-page: 1875
  year: 1997
  ident: ref_13
  article-title: Modelling the behaviour of stratified liquid natural gas in storage tanks: A study of the rollover phenomenon
  publication-title: Int. J. Heat Mass Transf.
  doi: 10.1016/S0017-9310(96)00218-9
  contributor:
    fullname: Bates
– volume: 29
  start-page: 199
  year: 1983
  ident: ref_12
  article-title: A predictive model for rollover in stratified LNG tanks
  publication-title: AIChE J.
  doi: 10.1002/aic.690290205
  contributor:
    fullname: Heestand
– volume: 170
  start-page: 44
  year: 2011
  ident: ref_14
  article-title: Optimization methods for the real-time inverse problem posed by modelling of liquefied natural gas storage
  publication-title: Chem. Eng. J.
  doi: 10.1016/j.cej.2011.03.025
  contributor:
    fullname: Deshpande
– volume: 87
  start-page: 1687
  year: 2010
  ident: ref_45
  article-title: Calculation models of liquefied natural gas (LNG) ageing during ship transportation
  publication-title: Appl. Energy
  doi: 10.1016/j.apenergy.2009.10.023
  contributor:
    fullname: Miana
– volume: 62
  start-page: 103922
  year: 2019
  ident: ref_5
  article-title: Predicting Liquefied Natural Gas (LNG) rollovers using Computational Fluid Dynamics
  publication-title: J. Loss Prev. Process Ind.
  doi: 10.1016/j.jlp.2019.103922
  contributor:
    fullname: Hubert
– volume: 38
  start-page: 4017
  year: 2013
  ident: ref_30
  article-title: Simulation on thermal stratification and de-stratification in liquefied gas tanks
  publication-title: Int. J. Hydrog. Energy
  doi: 10.1016/j.ijhydene.2013.01.116
  contributor:
    fullname: Ren
– ident: ref_41
– volume: 115
  start-page: 221
  year: 1993
  ident: ref_18
  article-title: Analysis and Optimization of Thermal Stratification and Self-Pressurization Effects in Liquid Hydrogen Storage Systems—Part 1: Model Development
  publication-title: J. Energy Resour. Technol.
  doi: 10.1115/1.2905997
  contributor:
    fullname: Gursu
– ident: ref_17
– volume: 66
  start-page: 223
  year: 2013
  ident: ref_29
  article-title: Pressure variations in a cryogenic liquid storage tank subjected to periodic excitations
  publication-title: Int. J. Heat Mass Transf.
  doi: 10.1016/j.ijheatmasstransfer.2013.06.072
  contributor:
    fullname: Ludwig
– ident: ref_7
– ident: ref_28
– ident: ref_24
  doi: 10.1007/978-3-319-20696-7
– ident: ref_38
  doi: 10.3390/jmse9010095
– volume: 26
  start-page: 570
  year: 2015
  ident: ref_34
  article-title: Weathering prediction model for stored liquefied natural gas (LNG)
  publication-title: J. Nat. Gas Sci. Eng.
  doi: 10.1016/j.jngse.2015.06.056
  contributor:
    fullname: Migliore
– volume: 99
  start-page: 40
  year: 1972
  ident: ref_10
  article-title: The effects of stratification on boil-off rate in LNG tanks
  publication-title: Pipeline Gas J.
  contributor:
    fullname: Chatterjee
– volume: 317
  start-page: 279
  year: 1995
  ident: ref_20
  article-title: A study of double diffusive rollover in cylindrical enclosures
  publication-title: Proc. ASME Heat Tran. Div.
  contributor:
    fullname: Munakata
– volume: 11
  start-page: 779
  year: 2018
  ident: ref_39
  article-title: Rollover Mechanism Methodology of LNG Tank with Gas-Liquid Stratification Based on Curvelet Finite Element Method and Large Eddy Simulation Technology
  publication-title: J. Appl. Fluid Mech.
  doi: 10.29252/jafm.11.03.27796
  contributor:
    fullname: Zhao
– volume: 54
  start-page: 352
  year: 2018
  ident: ref_6
  article-title: LNG rollover challenges and their mitigation on Floating Storage and Regasification Units: New perspectives in assessing rollover consequences
  publication-title: J. Loss Prev. Process Ind.
  doi: 10.1016/j.jlp.2018.04.007
  contributor:
    fullname: Kulitsa
– volume: 58
  start-page: 349
  year: 2013
  ident: ref_49
  article-title: Thermodynamic processes involving liquefied natural gas at the receiving terminals
  publication-title: Arch. Min. Sci.
– volume: 10
  start-page: 503
  year: 1995
  ident: ref_21
  article-title: Experimental techniques in natural convection
  publication-title: Exp. Therm. Fluid Sci.
  doi: 10.1016/0894-1777(94)00125-R
  contributor:
    fullname: Tanasawa
– ident: ref_37
– volume: 60
  start-page: 225
  year: 2015
  ident: ref_48
  article-title: Liquefied Natural Gas storage of variable composition
  publication-title: Arch. Min. Sci.
– volume: 124
  start-page: 684
  year: 2017
  ident: ref_32
  article-title: A non-equilibrium approach to modelling the weathering of stored Liquefied Natural Gas (LNG)
  publication-title: Energy
  doi: 10.1016/j.energy.2017.02.068
  contributor:
    fullname: Migliore
– ident: ref_44
– volume: 19
  start-page: 123604
  year: 2007
  ident: ref_27
  article-title: Rollover instability due to double diffusion in a stably stratified cylindrical tank
  publication-title: Phys. Fluids
  doi: 10.1063/1.2827488
  contributor:
    fullname: Zimmerman
– volume: 50
  start-page: 29
  year: 2013
  ident: ref_31
  article-title: Experimental research on the effects of fluid and heater on thermal stratification of liquefied gas
  publication-title: Exp. Therm. Fluid Sci.
  doi: 10.1016/j.expthermflusci.2013.04.021
  contributor:
    fullname: Shi
– volume: 33
  start-page: 1116
  year: 1993
  ident: ref_19
  article-title: Numerical modelling and flow visualization of mixing of stratified layers and rollover in LNG
  publication-title: Cryogenics
  doi: 10.1016/0011-2275(93)90004-8
  contributor:
    fullname: Shi
– ident: ref_25
– ident: ref_50
– volume: 21
  start-page: 326
  year: 1975
  ident: ref_11
  article-title: A model for LNG tank Rollover
  publication-title: Adv. Cryog. Eng.
  contributor:
    fullname: Germeles
– ident: ref_33
– ident: ref_2
– volume: 15
  start-page: 3
  year: 1999
  ident: ref_22
  article-title: Density stratification in LNG storage
  publication-title: Cold Facts
  contributor:
    fullname: Sheats
– ident: ref_15
– ident: ref_43
  doi: 10.3390/pr10071360
– volume: 5
  start-page: 391
  year: 2018
  ident: ref_47
  article-title: Floating storage and regasification units face specific LNG rollover challenges: Consideration of saturated vapor pressure provides insight and mitigation options
  publication-title: Nat. Gas Ind. B
  doi: 10.1016/j.ngib.2018.05.001
  contributor:
    fullname: Kulitsa
– volume: 177
  start-page: 87
  year: 2016
  ident: ref_46
  article-title: Comparison of evaporation rate and heat flow models for prediction of Liquefied Natural Gas (LNG) ageing during ship transportation
  publication-title: Fuel
  doi: 10.1016/j.fuel.2016.02.070
  contributor:
    fullname: Miana
– volume: 53
  start-page: 3931
  year: 2014
  ident: ref_35
  article-title: LNG Technology: The Weathering in Above-Ground Storage Tanks
  publication-title: Ind. Eng. Chem. Res.
  doi: 10.1021/ie404128d
  contributor:
    fullname: Pellegrini
– volume: 12
  start-page: 48
  year: 1984
  ident: ref_8
  article-title: Natural convection of density-stratified layers in a vessel
  publication-title: Heat Transf. Jpn. Res.
  contributor:
    fullname: Morioka
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Snippet At least 24 liquefied natural gas (LNG) rollover incidents have been reported since 1960. During rollover, because of the heat ingress through the tank walls,...
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SubjectTerms Air pollution
Air quality management
Atmospheric pressure
boil-off gas
evaporation
Heat
Liquefied natural gas
LNG
Natural gas
rollover
rollover model
Storage
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Title Rollover Prevention Model for Stratified Liquefied Natural Gas in Storage Tanks
URI https://www.proquest.com/docview/2893048799/abstract/
https://doaj.org/article/625c748d54794a888ef303398d7709cc
Volume 16
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