Mathematical modeling of unsteady thermoacoustic interactions in a heated ductSakhabutdinov J.M., Kochneva O.S., Pavlov G.I. "Математика. Компьютер. Образование". Cб. трудов XI международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2004. Vol. 2. Pp. 508-518. A mathematical model of unsteady velocity sensitive thermoacoustic interactions in a heated duct (generalized Rijke tube) is developed. The model is constructed in a general way which is capable of employing any linear velocity sensitive thermoacoustic response model. A solution methodology is then constructed based on modal analysis. A number of rather general closed form solutions are presented and some of the results are used to qualitatively explain the behaviors of Rijke tubes.
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