Vol. 16, no.2, 2024
РусскийEnglish
INFORMATION TECHNOLOGIES
Acoustic boundary layer of a solid absolutely thermally conductive surface
Fedor F. Legusha
St. Petersburg State Marine Technical University, https://www.smtu.ru/
St. Petersburg 190121, Russian Federation
E-mail: legusha@smtu.ru
Venedikt M. Kuz’kin
A.M. Prokhorov General Physics Institute RAS, http://www.gpi.ru/
Moscow 119991, Russian Federation
E-mail: kumiov@yandex.ru
Kseniya V. Razrezova
Soundproof European Technologies, https://soundguard.ru/
St. Petersburg 195027, Russian Federation
E-mail: kv_neveselova@mail.ru
Sergey A. Pereselkov
Voronezh State University, https://www.vsu.ru/
Voronezh 394006, Russian Federation
E-mail: pereselkov@yandex.ru
Received November 08, 2023, peer-reviewed November 15, 2023, accepted November 22, 2023, published April 25, 2024
Abstract: The paper presents the analysis results of formation theoretical descriptions of an acoustic boundary layer near solid absolutely thermally conductive surface, obtained by G. Kirchhoff and L.D. Landau. In both cases, the acoustic boundary layer is formed by inhomogeneous viscous and thermal waves in the wall layer of a liquid medium in contact with the surface of a solid body, from which a plane traveling sound wave is reflected. Based on the analysis, conclusions can be drawn: the analyzed problem solutions are physically sound, independent and complementary to each other. During the formation of an acoustic boundary layer, viscous and thermal waves are excited synchronously in pairs. Inside the acoustic boundary layer, each pair of inhomogeneous waves propagates towards each other. Inhomogeneous waves originate on parallel surfaces that limit the volume of the acoustic boundary layer. The analysis of the process of transformation of heat waves into additional one-dimensional inhomogeneous waves, the appearance of which in the boundary layer was predicted by G. Kirchhoff. It is shown that when interacting with the surface of the body of a traveling sound wave in the sound frequency range, these waves do not affect the formation of the boundary layer. The expressions allowing for a numerical estimation of the heat dissipation power density in the boundary layer are refined. A formula has been obtained that allows us to determine the proportion of the energy of the sound wave that is absorbed in the acoustic boundary layer. In practice, the results obtained in the article can be used, for example, in aeroacoustics to assess the dissipative properties of solid surfaces.
Keywords: sound wave, surface of a solid absolutely thermally conductive body, viscous wave, heat wave, acoustic boundary layer, energy dissipation
UDC: 534.21
RENSIT, 2024, 16(2):275-290e DOI: 10.17725/j.rensit.2024.16.275
Full-text electronic version of this article - web site http://en.rensit.ru/vypuski/article/552/16(2)275-290e.pdf