Abstract
We solve the problem of the natural oscillations of a gas flowing past a cascade of flat plates under the Joukowsky-Chaplygin condition that the velocity at the trailing edge of the profiles is finite. In this case part of the energy of the oscillating gas is consumed in the formation of a trailing vortex. The corresponding eigenvalues of the problem are complex and so the natural oscillations of the gas are damped. The computational results are compared with the results of experimental investigation of acoustic resonance in flow past a cascade of flat plates obtained by Parker [3].
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Literature cited
V. B. Kurzin, “The solution of the problem of the unestablished flow past a cascade of solid profiles by the method of combination,” Izv. Akad. Nauk SSSR, Mekhan. Zhidk. i Gaza, No. 3 (1967).
V. B. Kurzin, “The natural oscillations of a gas flowing past a cascade of flat plates,” Zh. Prikl. Mekh. i Tekh. Fiz., No. 5 (1969).
R. Parker, “Resonance effects in wake shedding from parallel plates: some experimental observations,” J. Sound and Vibration,4, No. 1 (1966).
R. Parker, “Resonance effects in wake shedding from parallel plates: calculation of resonance frequencies,” J. Sound and Vibration,5, No. 2 (1967).
Additional information
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 84–88, September–October, 1970.
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Kurzin, V.B. The damped natural oscillations of a gas flowing past a cascade of flat plates. Fluid Dyn 5, 785–788 (1970). https://doi.org/10.1007/BF01017297
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DOI: https://doi.org/10.1007/BF01017297