Efficiency of acoustic heating produced in the thermoviscous flow of a fluid with relaxation |
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Authors: | Anna Perelomova and Weronika Pelc-Garska |
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Institution: | 1.Faculty of Applied Physics and Mathematics,Gdansk University of Technology,Gdansk,Poland |
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Abstract: | 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. |
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Keywords: | |
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