Abstract
A numerical study of acoustic streaming in a cylindrical cavity subjected to vibrational action with a small vibration amplitude is performed. The dependence of the streaming character on the intensity of heat exchange with the surrounding medium is studied. A change in the forms of the acoustic streaming vortices is shown for a smooth transition from adiabatic to isothermal boundary conditions, which occurs via variation in the heat transfer coefficient. The values of the dimensionless heat transfer coefficient are determined for which the acoustic streaming pattern is close to the limiting cases corresponding to adiabatic and isothermal boundary conditions. For limiting cases of thermal boundary conditions, comparison with an analytical solution is performed.
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References
V. Niborg, in Physical Acoustics. Principles and Methods, Ed. by W. P. Mason (Academic Press, New York, 1964; Mir, Moscow, 1969), Vol. 2, p.302.
L. K. Zarembo, in High-Intensity Ultrasonic Fields, Ed. by L. D. Rozenberg (Plenum, New York, 1971), Part 3, p.156.
L. Rayleigh, Philos. Trans. R. Soc. London 175, 1 (1884).
M. F. Hamilton, Y. A. Ilinskii, and E. A. Zabolotskaya, J. Acoust. Soc. Am. 113, 153 (2003).
M. F. Hamilton, Y. A. Ilinskii, and E. A. Zabolotskaya, J. Acoust. Soc. Am. 114, 3092 (2003).
M. Nabavi, K. Siddiqui, and J. Dargahi, Wave Motion 46, 312 (2009).
A. A. Gubaidullin and A. V. Pyatkova, J. Phys.: Conf. Ser. 754, 022004 (2016).
I. Reyt, V. Daru, H. Bailliet, S. Moreau, J.-C. Valière, D. Baltean-Carlès, and C. Weisman, J. Acoust. Soc. Am. 134, 1791 (2013).
V. Daru, D. Baltean-Carlès, C. Weisman, P. Debesse, and G. Gandikota, Wave Motion 50, 955 (2013).
T. Yano, AIP Conf. Proc. 1685, 060012 (2015).
A. A. Gubaidullin and A. V. Pyatkova, Acoust. Phys., 64, 18 (2018).
M. K. Aktas and B. Farouk, J. Acoust. Soc. Am. 116, 2822 (2004).
A. A. Gubaidullin and A. V. Yakovenko, J. Acoust. Soc. Am. 137, 3281 (2015).
A. V. Yakovenko and A. A. Gubaidullin, in Proc. 11th All-Russian Convention on Fundamental Problems on Theoretical and Applied Mechanics (Kazan, August 20–24, 2015), p. 4304.
A. A. Gubaidullin and A. V. Pyatkova, Acoust. Phys. 62 (3), 300 (2016).
I. Reyt, H. Bailliet, and J.-C. Valière, J. Acoust. Soc. Am. 135, 27 (2014).
Y. Lin and B. Farouk, Int. J. Heat Mass Transfer 51, 3179 (2008).
M. K. Aktas and T. Ozgumus, Int. J. Heat Mass Transfer 53, 5289 (2010).
P. T. Zubkov and A. V. Yakovenko, Thermophys. Aeromech. 20 (3), 277 (2013).
P. T. Zubkov and A. V. Yakovenko, High Temp. 50 (3), 374 (2012).
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Original Russian Text © A.A. Gubaidullin, A.V. Pyatkova, 2018, published in Akusticheskii Zhurnal, 2018, Vol. 64, No. 3, pp. 289–295.
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Gubaidullin, A.A., Pyatkova, A.V. Acoustic Streaming under Thermal Boundary Conditions of the Third Kind. Acoust. Phys. 64, 280–286 (2018). https://doi.org/10.1134/S1063771018030077
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DOI: https://doi.org/10.1134/S1063771018030077