Acoustic Heating Produced in the Boundary Layer

Instantaneous acoustic heating of a viscous fluid flow in a boundary layer is the subject of investigation. The governing equation of acoustic heating is derived by means of a special linear combination of conser- vation equations in the differential form, which reduces all acoustic terms in the l...

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Main Authors: Anna PERELOMOVA, Weronika PELC–GARSKA
Format: Article
Language:English
Published: Institute of Fundamental Technological Research Polish Academy of Sciences 2013-10-01
Series:Archives of Acoustics
Subjects:
Online Access:https://acoustics.ippt.pan.pl/index.php/aa/article/view/114
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author Anna PERELOMOVA
Weronika PELC–GARSKA
author_facet Anna PERELOMOVA
Weronika PELC–GARSKA
author_sort Anna PERELOMOVA
collection DOAJ
description Instantaneous acoustic heating of a viscous fluid flow in a boundary layer is the subject of investigation. The governing equation of acoustic heating is derived by means of a special linear combination of conser- vation equations in the differential form, which reduces all acoustic terms in the linear part of the final equation but preserves terms belonging to the thermal mode. The procedure of decomposition is valid in a weakly nonlinear flow, it yields the nonlinear terms responsible for the modes interaction. Nonlinear acoustic terms form a source of acoustic heating in the case of the dominative sound. This acoustic source reflects the thermoviscous and dispersive properties of a fluid flow. 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, and conclusions about efficiency of heating caused by different waveforms of sound are made.
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institution Kabale University
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language English
publishDate 2013-10-01
publisher Institute of Fundamental Technological Research Polish Academy of Sciences
record_format Article
series Archives of Acoustics
spelling doaj-art-3139c5e23e3545a69845c1b8cad384052025-08-20T03:30:23ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2013-10-01372Acoustic Heating Produced in the Boundary LayerAnna PERELOMOVA0Weronika PELC–GARSKA1Faculty of Applied Physics and Mathematics, Gdańsk University of TechnologyFaculty of Applied Physics and Mathematics, Gdańsk University of TechnologyInstantaneous acoustic heating of a viscous fluid flow in a boundary layer is the subject of investigation. The governing equation of acoustic heating is derived by means of a special linear combination of conser- vation equations in the differential form, which reduces all acoustic terms in the linear part of the final equation but preserves terms belonging to the thermal mode. The procedure of decomposition is valid in a weakly nonlinear flow, it yields the nonlinear terms responsible for the modes interaction. Nonlinear acoustic terms form a source of acoustic heating in the case of the dominative sound. This acoustic source reflects the thermoviscous and dispersive properties of a fluid flow. 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, and conclusions about efficiency of heating caused by different waveforms of sound are made.https://acoustics.ippt.pan.pl/index.php/aa/article/view/114acoustic heatingweak dispersionboundary layer
spellingShingle Anna PERELOMOVA
Weronika PELC–GARSKA
Acoustic Heating Produced in the Boundary Layer
Archives of Acoustics
acoustic heating
weak dispersion
boundary layer
title Acoustic Heating Produced in the Boundary Layer
title_full Acoustic Heating Produced in the Boundary Layer
title_fullStr Acoustic Heating Produced in the Boundary Layer
title_full_unstemmed Acoustic Heating Produced in the Boundary Layer
title_short Acoustic Heating Produced in the Boundary Layer
title_sort acoustic heating produced in the boundary layer
topic acoustic heating
weak dispersion
boundary layer
url https://acoustics.ippt.pan.pl/index.php/aa/article/view/114
work_keys_str_mv AT annaperelomova acousticheatingproducedintheboundarylayer
AT weronikapelcgarska acousticheatingproducedintheboundarylayer