Marginal conditions for the onset of thermoacoustic oscillations due to instability of heat flow

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Published inIMA journal of applied mathematics Vol. 84; no. 1; pp. 118 - 144
Main Author Sugimoto, Nobumasa
Format Journal Article
LanguageEnglish
Published 25.01.2019
Online AccessGet full text
ISSN0272-4960
1464-3634
DOI10.1093/imamat/hxy051

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Author Sugimoto, Nobumasa
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Cites_doi 10.1017/jfm.2016.295
10.1017/jfm.2013.621
10.1063/1.2742422
10.1121/1.2939134
10.1016/0031-8914(49)90078-6
10.1017/jfm.2014.745
10.1121/2.0000847
10.1121/1.3658444
10.1121/1.1394739
10.1121/1.389624
10.1121/1.4892782
10.1017/jfm.2012.36
10.1063/1.4964331
10.1017/S0022112010001540
10.1007/BF01593998
10.1121/1.429342
10.7566/JPSJ.87.104401
10.1063/1.3298465
10.1121/1.2828059
10.1243/09576509JPE845
10.7566/JPSJ.86.104401
10.1177/0957650913493622
10.1121/1.1859992
10.1017/jfm.2017.635
10.1121/1.383505
10.3813/AAA.918508
10.1103/PhysRevLett.81.3128
10.1063/1.2990763
10.1121/1.396617
10.1007/BF01595562
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References Hyodo ( key 2019012505563479200_ref8) 2014; 741
Swift ( key 2019012505563479200_ref27) 2002
Sugimoto ( key 2019012505563479200_ref22) 2012; 697
Sugimoto ( key 2019012505563479200_ref20) 2008; 20
Gupta ( key 2019012505563479200_ref7) 2017; 831
Shimizu ( key 2019012505563479200_ref18) 2016; 120
Biwa ( key 2019012505563479200_ref3) 2011; 130
Taconis ( key 2019012505563479200_ref28) 1949; 15
Hyodo ( key 2019012505563479200_ref9) 2017; 86
Scalo ( key 2019012505563479200_ref16) 2015; 766
Swift ( key 2019012505563479200_ref26) 1988; 84
Abramowitz ( key 2019012505563479200_ref1) 1972
Ceperley ( key 2019012505563479200_ref5) 1979; 66
Rott ( key 2019012505563479200_ref15) 1973; 24
Ueda ( key 2019012505563479200_ref30) 2008; 124
Biwa ( key 2019012505563479200_ref4) 2014; 136
Sugimoto ( key 2019012505563479200_ref23) 2016; 797
Sugimoto ( key 2019012505563479200_ref25) 2018
Sugimoto ( key 2019012505563479200_ref24) 2018; 87
Bailliet ( key 2019012505563479200_ref2) 2001; 110
Yazaki ( key 2019012505563479200_ref32) 1998; 81
Shimizu ( key 2019012505563479200_ref17) 2010; 107
Moreau ( key 2019012505563479200_ref12) 2008; 123
Sugimoto ( key 2019012505563479200_ref19) 2007; 19
Yu ( key 2019012505563479200_ref33) 2010; 224
Jaworski ( key 2019012505563479200_ref10) 2013; 227
Wheatley ( key 2019012505563479200_ref31) 1983; 74
Guedra ( key 2019012505563479200_ref6) 2012; 98
Karpov ( key 2019012505563479200_ref11) 2000; 107
Penelet ( key 2019012505563479200_ref13) 2005; 91
Rott ( key 2019012505563479200_ref14) 1969; 20
Sugimoto ( key 2019012505563479200_ref21) 2010; 658
Thompson ( key 2019012505563479200_ref29) 2005; 117
References_xml – volume: 797
  start-page: 765
  year: 2016
  ident: key 2019012505563479200_ref23
  article-title: Nonlinear theory for thermoacoustic waves in a narrow channel and pore subject to a temperature gradient
  publication-title: J. Fluid Mech.
  doi: 10.1017/jfm.2016.295
– volume: 741
  start-page: 585
  year: 2014
  ident: key 2019012505563479200_ref8
  article-title: Stability analysis for the onset of thermoacoustic oscillations in a gas-filled looped tube
  publication-title: J. Fluid Mech.
  doi: 10.1017/jfm.2013.621
– volume: 19
  start-page: 1
  year: 2007
  ident: key 2019012505563479200_ref19
  article-title: Marginal condition for the onset of thermoacoustic oscillations of a gas in a tube
  publication-title: Phys. Fluids
  doi: 10.1063/1.2742422
– volume: 124
  start-page: 851
  year: 2008
  ident: key 2019012505563479200_ref30
  article-title: Stability analysis of thermally induced spontaneous gas oscillations in a straight and looped tubes
  publication-title: J. Acoust. Soc. Am.
  doi: 10.1121/1.2939134
– volume: 15
  start-page: 733
  year: 1949
  ident: key 2019012505563479200_ref28
  article-title: Measurements concerning the vapour–liquid equilibrium of solutions of He$^{3}$ in He$^{4}$ below 2.19$^\circ $K
  publication-title: Physica
  doi: 10.1016/0031-8914(49)90078-6
– volume: 766
  start-page: 368
  year: 2015
  ident: key 2019012505563479200_ref16
  article-title: Linear and nonlinear modelling of a theoretical travelling-wave thermoacoustic heat engine
  publication-title: J. Fluid Mech.
  doi: 10.1017/jfm.2014.745
– volume-title: Handbook of Mathematical Functions
  year: 1972
  ident: key 2019012505563479200_ref1
– volume-title: POMA Proc. 21st Intl. Symp. Nonlinear Acoustics.
  year: 2018
  ident: key 2019012505563479200_ref25
  article-title: Shocked and unshocked thermoacoustic oscillations in a looped tube.
  doi: 10.1121/2.0000847
– volume: 130
  start-page: 3558
  year: 2011
  ident: key 2019012505563479200_ref3
  article-title: Observation of traveling thermoacoustic shock waves
  publication-title: J. Acoust. Soc. Am.
  doi: 10.1121/1.3658444
– volume: 110
  start-page: 1808
  year: 2001
  ident: key 2019012505563479200_ref2
  article-title: Acoustic streaming in closed thermoacoustic devices
  publication-title: J. Acoust. Soc. Am.
  doi: 10.1121/1.1394739
– volume: 74
  start-page: 153
  year: 1983
  ident: key 2019012505563479200_ref31
  article-title: An intrinsically irreversible thermoacoustic heat engine
  publication-title: J. Acoust. Soc. Am.
  doi: 10.1121/1.389624
– volume: 136
  start-page: 965
  year: 2014
  ident: key 2019012505563479200_ref4
  article-title: Observation of thermoacoustic shock waves in a resonance tube
  publication-title: J. Acoust. Soc. Am.
  doi: 10.1121/1.4892782
– volume: 697
  start-page: 60
  year: 2012
  ident: key 2019012505563479200_ref22
  article-title: Effects of heat conduction in a wall on thermoacoustic-wave propagation
  publication-title: J. Fluid Mech.
  doi: 10.1017/jfm.2012.36
– volume: 120
  start-page: 1
  year: 2016
  ident: key 2019012505563479200_ref18
  article-title: Autonomous generation of a thermoacoustic solitary wave in an air-filled tube
  publication-title: J. Appl. Phys.
  doi: 10.1063/1.4964331
– volume: 91
  start-page: 567
  year: 2005
  ident: key 2019012505563479200_ref13
  article-title: Dependence of sound amplification on temperature distribution in annular thermoacoustic engine
  publication-title: Acta Acust. Acustica
– volume: 658
  start-page: 89
  year: 2010
  ident: key 2019012505563479200_ref21
  article-title: Thermoacoustic-wave equations for gas in a channel and a tube subject to temperature gradient
  publication-title: J. Fluid Mech.
  doi: 10.1017/S0022112010001540
– volume: 24
  start-page: 54
  year: 1973
  ident: key 2019012505563479200_ref15
  article-title: Thermally driven acoustic oscillations. Part II: stability limit for helium
  publication-title: Z. Angew. Math. Phys.
  doi: 10.1007/BF01593998
– volume: 107
  start-page: 3130
  year: 2000
  ident: key 2019012505563479200_ref11
  article-title: Nonlinear saturation of the thermoacoustic instability
  publication-title: J. Acoust Soc. Am.
  doi: 10.1121/1.429342
– volume: 87
  start-page: 1
  year: 2018
  ident: key 2019012505563479200_ref24
  article-title: Experiments on self-excited thermoacoustic oscillations in an air-filled looped tube with a pair of stacks
  publication-title: J. Phys. Soc. Japan
  doi: 10.7566/JPSJ.87.104401
– volume: 107
  start-page: 1
  year: 2010
  ident: key 2019012505563479200_ref17
  article-title: Numerical study of thermoacoustic Taconis oscillations
  publication-title: J. Appl. Phys.
  doi: 10.1063/1.3298465
– volume: 123
  start-page: 640
  year: 2008
  ident: key 2019012505563479200_ref12
  article-title: Measurements of inner and outer streaming vortices in a standing waveguide using laser Doppler velocimetry
  publication-title: J. Acoust. Soc. Am.
  doi: 10.1121/1.2828059
– volume: 224
  start-page: 329
  year: 2010
  ident: key 2019012505563479200_ref33
  article-title: Optimization of thermoacoustic stacks for low onset temperature engines
  publication-title: Proc. IMechE Part A: J. Power Energy
  doi: 10.1243/09576509JPE845
– volume: 86
  start-page: 1
  year: 2017
  ident: key 2019012505563479200_ref9
  article-title: Stability analysis of thermoacoustic gas oscillations through temperature ratio dependence of the complex frequency
  publication-title: J. Phys. Soc. Japan
  doi: 10.7566/JPSJ.86.104401
– volume: 227
  start-page: 762
  year: 2013
  ident: key 2019012505563479200_ref10
  article-title: Development of thermoacoustic devices for power generation and refrigeration
  publication-title: Proc. IMechE Part A: J. Power Energy
  doi: 10.1177/0957650913493622
– volume: 117
  start-page: 1839
  year: 2005
  ident: key 2019012505563479200_ref29
  article-title: Influences of a temperature gradient and fluid inertia on acoustic streaming in a standing wave
  publication-title: J. Acoust. Soc. Am.
  doi: 10.1121/1.1859992
– volume: 831
  start-page: 358
  year: 2017
  ident: key 2019012505563479200_ref7
  article-title: Spectral energy cascade in thermoacoustic shock waves
  publication-title: J. Fluid Mech.
  doi: 10.1017/jfm.2017.635
– volume: 66
  start-page: 1508
  year: 1979
  ident: key 2019012505563479200_ref5
  article-title: A pistonless Stirling engine—The traveling wave heat engine
  publication-title: J. Acoust. Soc. Am.
  doi: 10.1121/1.383505
– volume: 98
  start-page: 232
  year: 2012
  ident: key 2019012505563479200_ref6
  article-title: On the use of a complex frequency for the description of thermoacoustic engines
  publication-title: Acta Acust. Acustica
  doi: 10.3813/AAA.918508
– volume: 81
  start-page: 3128
  year: 1998
  ident: key 2019012505563479200_ref32
  article-title: Traveling wave thermoacoustic engine in a looped tube
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.81.3128
– volume: 20
  start-page: 1
  year: 2008
  ident: key 2019012505563479200_ref20
  article-title: Boundary-layer theory for Taconis oscillations in a helium-filled tube
  publication-title: Phys. Fluids
  doi: 10.1063/1.2990763
– volume: 84
  start-page: 1145
  year: 1988
  ident: key 2019012505563479200_ref26
  article-title: Thermoacoustic engines
  publication-title: J. Acoust. Soc. Am.
  doi: 10.1121/1.396617
– volume-title: Thermoacoustics: A Unifying Perspective for Some Engines and Refrigerators
  year: 2002
  ident: key 2019012505563479200_ref27
– volume: 20
  start-page: 230
  year: 1969
  ident: key 2019012505563479200_ref14
  article-title: Damped and thermally driven acoustic oscillations in wide and narrow tubes
  publication-title: Z. Angew. Math. Phys.
  doi: 10.1007/BF01595562
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