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Acoustic streaming: an arbitrary Lagrangian-Eulerian perspective.

Nitesh Nama1, Tony Jun Huang2, Francesco Costanzo1,3

  • 1Department of Engineering Science and Mechanics, The Pennsylvania State University, University Park, PA 16802, USA.

Journal of Fluid Mechanics
|October 21, 2017
PubMed
Summary
This summary is machine-generated.

This study introduces a new arbitrary Lagrangian Eulerian (ALE) method for analyzing acoustic streaming flows. The novel approach simplifies calculations and enhances comparisons with experimental data.

Keywords:
computational methodsflow–structure interactionsmicrofluidics

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Area of Science:

  • Fluid dynamics
  • Acoustofluidics
  • Computational physics

Background:

  • Acoustic streaming is crucial for microfluidic applications.
  • Existing methods for analyzing acoustic streaming have limitations.
  • Stokes drift and complex post-processing complicate experimental comparisons.

Purpose of the Study:

  • To develop a novel arbitrary Lagrangian Eulerian (ALE) formulation for acoustic streaming.
  • To simplify the analysis of acoustic streaming flows.
  • To facilitate direct comparison between numerical simulations and experimental results.

Main Methods:

  • Explicit separation of time scales into fast and slow subproblems.
  • Formulation in terms of fluid displacement (fast scale) and Lagrangian velocity (slow scale).
  • Rigorous time-averaging procedure leading to a steady second-order problem.

Main Results:

  • The second-order problem is intrinsically steady with exact boundary conditions.
  • The formulation avoids the need for Stokes drift or post-processing.
  • Numerical results demonstrate the formulation's advantages over existing methods.

Conclusions:

  • The proposed ALE formulation offers a more direct and efficient analysis of acoustic streaming.
  • The method is readily applicable to complex fluid-structure interactions in microacoustofluidics.
  • This approach enhances the accuracy and ease of comparing simulations with experiments.