Geodesic
Regularities of thermoacoustic oscillations in Lehmann's system with a reverse movement of the coolant
Matematičeskoe modelirovanie, Tome 29 (2017) no. 4, pp. 75-87

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The technique is developed for calculations of boundaries of instability, frequencies and amplitudes of self-oscillations of the heat carrier, self-excited at its movement in the vertical channel when warmth from a source of constant power is locally brought to it. Unlike classical generators of thermoacoustic fluctuations: Rijke's pipe and Lehmann's system, it is supposed that the main stationary flow is collinear with gravity. To exclude a surge of self-oscillations of nature is assumed that the flow is created with a supercharger pressure of a monotonically decreasing characteristic. The resulting mathematical model allows theoretically to determine the conditions of self-excitation of self-oscillations under consideration and to assess the influence of various parameters on their shape.
Keywords: thermoacoustic oscillations, limit cycle, heat-pressure characteristic, instability. 
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     author = {B. I. Basok and V. V. Gotsulenko},
     title = {Regularities of thermoacoustic oscillations in {Lehmann's} system with a reverse movement of the coolant},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {75--87},
     publisher = {mathdoc},
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     year = {2017},
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B. I. Basok; V. V. Gotsulenko. Regularities of thermoacoustic oscillations in Lehmann's system with a reverse movement of the coolant. Matematičeskoe modelirovanie, Tome 29 (2017) no. 4, pp. 75-87. http://geodesic.mathdoc.fr/item/MM_2017_29_4_a5/