On the Operation of an Electroacoustic Transducer Based on Electrokinetic Phenomena under Turbulent Fluid Motion
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ICAL FOUNDATIONS OF TECHNICAL ACOUSTICS
On the Operation of an Electroacoustic Transducer Based on Electrokinetic Phenomena under Turbulent Fluid Motion B. P. Sharfaretsa, *, V. E. Kurochkina, **, and V. A. Sergeevb a
Institute of Analytical Instrumentation, Russian Academy of Sciences, St. Petersburg, 198095 Russia b JSC AQUAMARINE, St. Petersburg, Russia *e-mail: [email protected] **e-mail: [email protected] Received January 28, 2020; revised March 23, 2020; accepted April 28, 2020
Abstract—The paper considers equations describing the motion of a fluid in a porous medium under the action of an electric field in conditions of the formed turbulent mode of motion. Equations are given that describe the acoustic oscillations that occur in a fluid, the source of which can be not only an alternating, but also a constant electric field. The pulsating broadband acoustic oscillations arising under the action of a constant electric field can be spurious during the operation of electroacoustic transducers, which should be taken into account in their design. The results of field experiments on the model of an electroacoustic transducer confirm the theoretical results presented in the study. The stated theoretical and experimental results make it possible to solve the priority scientific–technical problem of designing and creating new types of acoustic emitters. Keywords: electroacoustic transformation, electrokinetic phenomena, hydrodynamics of electroosmosis, acoustics of electroosmosis, turbulent flow, pulsating oscillations DOI: 10.1134/S1063771020050139
INTRODUCTION This work is a continuation of [1, 2] on the theoretical substantiation and model and experimental testing of the new electroacoustic conversion method proposed in [3]. In [1], the problem was considered in a linear approximation of the solution to the Navier– Stokes system for laminar motion of a fluid in a porous medium under the action of the total constant and alternating electric field. In [2], this problem was already considered in the nonlinear approximation of the solution to the Navier–Stokes system for laminar fluid motion. In the present study, the problem is considered in a nonlinear formulation for a turbulent fluid motion mode in a porous medium. SUBSTANTIATION OF THE PHYSICAL MODEL OF THE PROBLEM It is known (see, e.g., [4, pp. 178–183]) that, in contrast to a laminar fluid motion mode, in a turbulent mode, in the pressure and velocity fields, and the density field in the case of a compressible fluid, even in a stationary steady-state turbulence mode, in addition to steady-state (averaged fields), so-called pulsating field components immanently present in the turbulent mode occur, which represent complex, spatio-
temporally disordered processes even with stationary external sources of motion. For the electroacoustic transformation under consideration, these pulsation components can be spurious with respect to the original acoustic signal. The aim of this study is to create physical and mathematical models that describe the behavior of a specifie
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