Evaluation of the successive approximations method for acoustic streaming numerical simulations

• Type: Article in International Scientific Journal
• Date: 2016

Authors

S. O. Catarino (Author) Other; G. Minas (Author) Other; J. M. Miranda (Author) FEUP

Journal

Title: Journal of the Acoustical Society of America

Vol. 139 No. 5

Pages: 2269-2279

ISSN: 0001-4966

Publisher: Acoustical Society of America

Indexing

ISI Web of Knowledge - 1 Citation

ISI Web of Science

Scopus - 3 Citations

INSPEC

Associated Projects

LEPAE/CEFT - RL2 - (Bio) Chemical Engineering: Multi-Scale Approaches for Sustainable Environment and Health

Other information

Authenticus ID: P-00K-GQ1

DOI: 10.1121/1.4946993

Abstract (EN): This work evaluates the successive approximations method commonly used to predict acoustic streaming by comparing it with a direct method. The successive approximations method solves both the acoustic wave propagation and acoustic streaming by solving the first and second order Navier-Stokes equations, ignoring the first order convective effects. This method was applied to acoustic streaming in a 2D domain and the results were compared with results from the direct simulation of the Navier-Stokes equations. The velocity results showed qualitative agreement between both methods, which indicates that the successive approximations method can describe the formation of flows with recirculation. However, a large quantitative deviation was observed between the two methods. Further analysis showed that the successive approximation method solution is sensitive to the initial flow field. The direct method showed that the instantaneous flow field changes significantly due to reflections and wave interference. It was also found that convective effects contribute significantly to the wave propagation pattern. These effects must be taken into account when solving the acoustic streaming problems, since it affects the global flow. By adequately calculating the initial condition for first order step, the acoustic streaming prediction by the successive approximations method can be improved significantly.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11