Sondhauss and Rijke oscillations—thermodynamic analysis, possible applications and analogies

The phenomena of acoustical pressure oscillations generated in a gas by a steady heat source may be separated into two distinct types: (i) Sondhauss oscillations which occur in a pipe having one end closed and one open; (ii) Rijke oscillations which occur in a pipe with both ends open. After reviewing representative literature, actual and possible applications are described. Analogies and differences among these and similar systems are considered from a thermodynamic point of view.

[1]  K. T. Feldman,et al.  Review of the literature on Rijke thermoacoustic phenomena , 1968 .

[2]  W. P. Arnott,et al.  Thermoacoustic engines , 1991, IEEE 1991 Ultrasonics Symposium,.

[3]  H. Kramers,et al.  Vibrations of a gas column , 1949 .

[4]  G. W. Swift,et al.  Thermoacoustics in pin‐array stacks , 1993 .

[5]  Ilya Prigogine,et al.  From Being To Becoming , 1980 .

[6]  Randall Gemmen,et al.  A Test Device for Premixed Gas Turbine Combustion Oscillations , 1996 .

[7]  Maria A. Heckl,et al.  Active Control of the Noise from a Rijke Tube , 1988 .

[8]  G. Swift,et al.  Experiments with an Intrinsically Irreversible Acoustic Heat Engine , 1983 .

[9]  Bruce J Bayly Onset and equilibration of oscillations in general Rijke devices , 1986 .

[10]  Thermoacoustic effect in a resonant semiopen tube , 1982 .

[12]  P. Glansdorff,et al.  Thermodynamic theory of structure, stability and fluctuations , 1971 .

[13]  Nikolaus Rott,et al.  Thermally driven acoustic oscillations. Part II: Stability limit for helium , 1973 .

[14]  Anthony A. Atchley,et al.  Study of a thermoacoustic prime mover below onset of self‐oscillation , 1992 .

[15]  F. L. Eisinger Fluid-thermoacoustic vibration of a gas turbine recuperator tubular heat exchanger system , 1994 .

[16]  F. L. Eisinger,et al.  Unusual acoustic vibration in heat exchanger and steam generator tube banks possibly caused by fluid-acoustic instability , 1993 .

[17]  Visvaldis Mangulis Coupling of Array Elements in a Nonrigid Baffle , 1964 .

[18]  T. T. Bramlette,et al.  Pulse combustor modeling demonstration of the importance of characteristic times , 1990 .

[19]  K. O. Lehmann ber die Theorie der Netztne (thermisch erregte Schallschwingungen) , 1937 .

[20]  G W Swift,et al.  Nonlinear natural engine: Model for thermodynamic processes in mesoscale systems. , 1985, Proceedings of the National Academy of Sciences of the United States of America.

[21]  G. W. Swift,et al.  Theory and calculations for an intrinsically irreversible acoustic prime mover using liquid sodium as primary working fluid , 1985 .

[22]  Nikolaus Rott,et al.  The influence of heat conduction on acoustic streaming , 1974 .

[23]  G. W. Swift,et al.  An intrinsically irreversible thermoacoustic heat engine , 1983 .

[24]  H. Haken Cooperative phenomena in systems far from thermal equilibrium and in nonphysical systems , 1975 .

[25]  K. W. Taconis,et al.  Measurements concerning the vapour-liquid equilibrum of solutions of He3 in He4 below 2.19°K , 1949 .

[26]  G. W. Swift,et al.  Understanding some simple phenomena in thermoacoustics with applications to acoustical heat engines , 1985 .

[27]  G. Carrier,et al.  The mechanics of the Rijke tube , 1955 .

[28]  H. Merk,et al.  Analysis of heat-driven oscillations of gas flows: V. Influence of heat transfer in the burner ports on the stability of combustion of premixed gases , 1959 .

[29]  K. T. Feldman,et al.  Review of the literature on Sondhauss thermoacoustic phenomena , 1968 .

[30]  The moving thermoacoustic array: A theoretical study , 1988 .

[31]  B. J. Bayly,et al.  Heat transfer from a cylinder in a time‐dependent cross flow at low Peclet number , 1985 .

[32]  Young-Pil Kwon,et al.  Stability of the Rijke thermoacoustic oscillation , 1985 .

[33]  Anthony A. Atchley,et al.  Stability curves for a thermoacoustic prime mover , 1993 .

[34]  Nikolaus Rott,et al.  Thermally driven acoustic oscillations, part III: Second-order heat flux , 1975 .

[35]  Alan Powell,et al.  Experiments on the Rijke‐Tube Phenomenon , 1964 .

[36]  João Andrade de Carvalho,et al.  Definition of heater location to drive maximum amplitude acoustic oscillations in a Rijke tube , 1989 .

[37]  P. Merkli,et al.  Thermoacoustic effects in a resonance tube , 1975, Journal of Fluid Mechanics.

[38]  Gregory W. Swift,et al.  Similitude in thermoacoustics , 1993 .

[39]  H. Merk,et al.  Analysis of heat-driven oscillations of gas flows: I. General considerations , 1957 .

[40]  G. Benvenuto,et al.  Thermoacoustic systems, Stirling engines and pulse-tube refrigerators: analogies and differences in the light of generalized thermodynamics , 1989, Proceedings of the 24th Intersociety Energy Conversion Engineering Conference.

[41]  George E. Hudson,et al.  An Investigation of Sound Vibrations in a Tube Containing a Heat Source , 1952 .

[42]  Nikolaus Rott,et al.  The heating effect connected with non-linear oscillations in a resonance tube , 1974 .

[43]  J. Gaffney,et al.  Thermal Oscillations in Low Temperature Apparatus , 1960 .

[45]  A. Bejan Constructal-theory network of conducting paths for cooling a heat generating volume , 1997 .

[46]  A. Bejan,et al.  TIME-DEPENDENT INTERACTION BETWEEN WATER AT SUPERCRITICAL PRESSURES AND A HOT SURFACE , 1996 .

[47]  R. Richardson,et al.  A review of pulse tube refrigeration , 1997 .

[49]  Adrian Bejan,et al.  Constructal tree network for fluid flow between a finite-size volume and one source or sink , 1997 .

[50]  Nikolaus Rott,et al.  Thermally driven acoustic oscillations, part IV: Tubes with variable cross-section , 1976 .

[51]  Abbott A. Putnam,et al.  Burner Oscillations of the Gauze‐Tone Type , 1954 .

[52]  Nikolaus Rott,et al.  Damped and thermally driven acoustic oscillations in wide and narrow tubes , 1969 .

[53]  R. C. Longsworth,et al.  Surface Heat Pumping , 1966 .

[54]  Ben Zinn,et al.  Pulsating combustion of coal in a Rijke type combustor , 1982 .

[55]  George C. Maling,et al.  Simplified Analysis of the Rijke Phenomenon , 1963 .