Abstract
The flow of a viscous compressible heat-conducting fluid in a plane channel with rigid oscillating walls is considered. It is shown that even a vanishingly small compressibility can be the reason for the onset of a resonance, i.e., sharp increase in the amplitude of oscillations of the flow parameters at a properly selected wall oscillation frequency. An exact analytical expression for the leading resonant frequency is given. Numerical calculations have demonstrated the possibility of a cumulative effect, namely, sharp increase in the mass flow rate even at constant pressure gradient.
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REFERENCES
Ganiev, O.R., Ganiev, R.F., Zvyagin, A.V., Ukrainskii, L.E., and Ustenko, I.G., Enhanced oil recovery based on the waveguide effects. Nonmonotonicity of damping of two-dimensional waves in a waveguide, Spr. Inzh. Zhurn, 2016, vol. 228, no. 3, pp. 42–48.
Ganiev, O.R., Ganiev, R.F., Zvyagin, A.V., Ukrainskii, L.E., and Ustenko, I.G., Enhanced oil recovery based on waveguide effects. Distribution of the force exerted on particles in the waveguide in a harmonic wave field, Spr. Inzh. Zhurn, 2016, vol. 229, no. 4, pp. 49–56.
Secomb, T.W., Flow in a channel with pulsating walls, J. Fluid. Mech., 1978, vol. 88, pp. 273–288.
Hall, P. and Papageorgiou, D.T., The onset of chaos in a class of Navier–Stokes solutions, J. Fluid. Mech., 1999, vol. 393, pp. 59–87.
Mingalev, S.V., Filippov, L.O., and Lyubimova, T.P., Flow rate in a channel with small-amplitude pulsating walls, Euro. J. Mech. B/Fl., 2015, vol. 51, pp. 1–7.
Tukmakov, A.L., Gas flow in a plane channel with vibrating walls, Inzh.-Fiz. Zh., 2002, vol. 75. no. 6, pp. 109–115.
Smirmov, N.N., Shugan, I.V., and Legros, J.C., Streaming flows in a channel with elastic walls, Phys. Fluids, 2002, vol. 14, no. 10, pp. 1–10.
Bagchi, S., Gupta, K., Kushari, A., and Iyengar, N.G.R., Experimental study of pressure fluctuations and flow perturbations in air flow through vibrating pipes, J. Sound. Vibr., 2009, vol. 328, pp. 441–455.
Logvinov, O.A. and Malashin, A.A., Resonance phenomena in a channel with oscillating walls, Euro. J. Mech. B/Fl., 2020, vol. 83, pp. 205–211.
Kovenya, V.M. and Yakovenko, N.N., Metod rasshchepleniya peremennykh v zadachakh gazovoi dinamiki (Variable Splitting Method in Gas Dynamics Problems), Novosibirsk: Nauka, 1981.
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Translated by E.A. Pushkar
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Logvinov, O.A. Compressible Flows with Oscillating Boundaries. Fluid Dyn 58, 349–359 (2023). https://doi.org/10.1134/S0015462822602273
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DOI: https://doi.org/10.1134/S0015462822602273