title: Effects of heat exchange and nonlinearity on acoustic streaming in a vibrating cylindrical cavity.
abstract: Acoustic streaming in a gas filled cylindrical cavity subjected to the vibration effect is investigated numerically. Both thermally insulated walls and constant temperature walls are considered. The range of vibration frequencies from low frequencies, at which the process can be described by an approximate analytical solution, to high frequencies giving rise to strong nonlinear effects is studied. Frequencies lower than the resonant one are chosen, and nonlinearity is achieved due to the large amplitude. The problem is solved in an axisymmetric statement. The dependence of acoustic streaming in narrow channels at vibration frequencies lower than the resonant one on the type of thermal boundary conditions is shown. The streaming vortices' directions of rotation in the case of constant temperature walls are found to be opposite to those in the case of thermally insulated walls. Different nonlinear effects, which increase with the frequency of vibration, are obtained. Nonlinear effects manifesting as the nonuniformity of average temperature, pressure, and density are in turn found to be influencing the streaming velocity and streaming structure.
authors.affiliation: Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of Russian Academy of Sciences, 74 Taymirskaya Street, 625026 Tyumen, Russia.
authors.forename: Amir A
authors.initials: AA
authors.lastname: Gubaidullin
authors.affiliation: Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of Russian Academy of Sciences, 74 Taymirskaya Street, 625026 Tyumen, Russia.
authors.forename: Anna V
authors.initials: AV
authors.lastname: Yakovenko