Engineering Mechanics

Proceedings Vol. 27/28 (2022)

ENGINEERING MECHANICS 2022

Copyright © 2022 Institute of Theoretical and Applied Mechanics of the Czech Academy of Sciences, Prague

 

Rohan E., Moravcová F.
pages 333 - 336, full text

The acoustic streaming of fluid in porous periodic structure is explored by Direct Numerical Simulations (DNS) and using the two-scale modelling based on the asymptotic homogenization. Using the classical perturbation approach, the first and the second order subproblems arising from the Navier-Stokes equations governing the barotropic viscous fluid dynamics in pores are obtained. The homogenization is employed to derive macroscopic models for both the subproblems. The driving force of the permanent flow is obtained due the time average of the nonlinear advection terms expressed using the first order acoustic harmonic fluctuations. The homogenization of the 1st order problem yields a wave equation involving the dynamic permeability. The DNS give illustrations of the phenomenon and provide a basis for validation of the homogenized model.

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