Abstract
Acoustic streaming in vibrating cylindrical cavities of different diameters under isothermal boundary conditions is numerically investigated. Two vibration frequencies are considered at various vibration amplitudes. The influence of increasing nonlinearity of the process on the structure of acoustic streaming is determined. The dynamics of an increase in the acoustic streaming velocity with an increase in the vibration amplitude is shown. The vibration amplitudes at which shock waves are formed in the regime of steady-state oscillations are revealed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
L. K. Zarembo, Acoustic Streaming. High-Intensity Ultrasonic Fields (Plenum, New York, 1971).
M. Nabavi, K. Siddiqui, and J. Dargahi, ‘‘Analysis of regular and irregular acoustic streaming patterns in a rectangular enclosure,’’ Wave Motion 46, 312–322 (2009).
I. Reyt, V. Daru, H. Bailliet, S. Moreau, J.-C. Valiere, D. Baltean-Carles, and C. Weisman, ‘‘Fast acoustic streaming in standing waves: generation of an additional outer streaming cell,’’ J. Acoust. Soc. Am. 134, 1791–1801 (2013).
V. Daru, D. Baltean-Carles, C. Weisman, P. Debesse, and G. Gandikota, ‘‘Two-dimensional numerical simulations of nonlinear acoustic streaming in standing waves,’’ Wave Motion 50, 955–963 (2013).
I. Reyt, H. Bailliet, and J.-C. Valiere, ‘‘Experimental investigation of acoustic streaming in a cylindrical wave guide up to high streaming Reynolds number,’’ J. Acoust. Soc. Am. 135, 27–37 (2014).
A. A. Gubaidullin and A. V. Yakovenko, ‘‘Effects of heat exchange and nonlinearity on acoustic streaming in a vibrating cylindrical cavity,’’ J. Acoust. Soc. Am. 137, 3281–3287 (2015).
A. A. Gubaidullin and A. V. Pyatkova, ‘‘Acoustic streaming with heat exchange,’’ J. Phys.: Conf. Ser. 754, 022004 (2016).
V. Daru, I. Reyt, H. Bailliet, C. Weisman, and D. Baltean-Carles, ‘‘Acoustic and streaming velocity components in a resonant waveguide at high acoustic levels,’’ J. Acoust. Soc. Am. 141, 563–574 (2017).
A. A. Gubaidullin and A. V. Pyatkova, ‘‘Specificities of acoustic streaming in cylindrical cavity with increasing nonlinearity of the process,’’ Acoust. Phys.64, 18–26 (2018).
A. A. Gubaidullin and A. V. Pyatkova, ‘‘Acoustic streaming with allowance for heat transfer,’’ Acoust. Phys.62, 300–305 (2016).
A. A. Gubaidullin and A. V. Pyatkova, ‘‘Acoustic streaming under thermal boundary conditions of the third kind,’’ Acoust. Phys. 64, 280–286 (2018).
M. Červenka and M. Bednařík, ‘‘Effect of inhomogeneous temperature fields on acoustic streaming structures in resonators,’’ J. Acoust. Soc. Am. 141, 4418–4426 (2017).
M. Červenka and M. Bednařík, ‘‘Numerical study of the influence of the convective heat transport on acoustic streaming in a standing wave,’’ J. Acoust. Soc. Am. 143, 727–734 (2018).
M. F. Hamilton, Y. A. Ilinskii, and E. A. Zabolotskaya, ‘‘Thermal effects on acoustic streaming in standing waves,’’ J. Acoust. Soc. Am. 114, 3092–3101 (2003).
A. A. Gubaidullin and A. V. Pyatkova, ‘‘Features of the acoustic flow under isothermal boundary conditions in cavities of different diameters,’’ Vestn. Tyumen. Univ.4, 105–117 (2018).
A. A. Gubaidullin and A. V. Pyatkova, ‘‘Acoustic streaming in a cylindrical cavity at variation of its radius and boundary conditions,’’ Thermophys. Aeromech. 26, 889–899 (2019).
A. A. Gubaidullin and A. V. Pyatkova, ‘‘Acoustic streaming and temperature field in the cavity with isothermal and adiabatic boundary conditions at the ends,’’ Lobachevskii J. Math.40 (11), 1994–1999 (2019).
M. K. Aktas and T. Ozgumus, ‘‘The effects of acoustic streaming on thermal convection in an enclosure with differentially heated horizontal walls,’’ Int. J. Heat Mass Transfer 53, 5289–5297 (2010).
Funding
The research was carried out within the framework of the Program of Fundamental Scientific Research of the State Academies of Sciences in 2013–2020 (project no. AAAA-A17-117030610130-1).
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Gubaidullin, A.A., Pyatkova, A.V. The Effect of Nonlinearity on Acoustic Streaming in Cylindrical Cavities of Different Diameters. Lobachevskii J Math 41, 1196–1201 (2020). https://doi.org/10.1134/S1995080220070185
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1995080220070185