Efficiency of acoustic heating produced in the thermoviscous flow of a fluid with relaxation

• Authors: Anna Perelomova , Weronika Pelc-Garska
• Languages of publication: EN

Abstracts

EN

Instantaneous acoustic heating of a fluid with thermodynamic relaxation is the subject of investigation. Among others, viscoelastic biological media described by the Maxwell model of the viscous stress tensor, belong to this type of fluid. The governing equation of acoustic heating is derived by means of the special linear combination of conservation equations in differential form, allowing the reduction of all acoustic terms in the linear part of the final equation, but preserving terms belonging to the thermal mode responsible for heating. The procedure of decomposition is valid for weakly nonlinear flows, resulting in the nonlinear terms responsible for the modes interaction. Nonlinear acoustic terms form a source of acoustic heating in the case of dominative sound, which reflects the thermoviscous and dispersive properties of a fluid. The method of deriving the governing equations does not need averaging over the sound period, and the final governing dynamic equation of the thermal mode is instantaneous. Some examples of acoustic heating are illustrated and discussed, conclusions about efficiency of heating caused by different sound impulses are made.

Keywords

EN

acoustic heating; weak dispersion; relaxation

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2010
• Volume: 8
• Issue: 6
• Pages: 855-863

Dates

published

1 - 12 - 2010

online

5 - 9 - 2010

Contributors

author

Anna Perelomova

• Faculty of Applied Physics and Mathematics, Gdansk University of Technology, ul. Narutowicza 11/12, 80-233, Gdansk, Poland

author

Weronika Pelc-Garska

• Faculty of Applied Physics and Mathematics, Gdansk University of Technology, ul. Narutowicza 11/12, 80-233, Gdansk, Poland

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Identifiers

DOI

10.2478/s11534-010-1015-y