Forced oscillations of a gas bubble in a spherical volume of a compressible liquid
Abstract A spherically symmetric problem of oscillations of a single gas bubble at the center of a spherical flask filled with a compressible liquid under the action of pressure oscillations on the flask wall is considered. A system of differential-difference equations is obtained that extends the R...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Nigmatulin, R. I. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1999 |
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| Schlagwörter: |
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| Anmerkung: |
© Kluwer Academic/Plenum Publishers 1999 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of applied mechanics and technical physics - Kluwer Academic Publishers-Plenum Publishers, 1966, 40(1999), 2 vom: März, Seite 285-291 |
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| Übergeordnetes Werk: |
volume:40 ; year:1999 ; number:2 ; month:03 ; pages:285-291 |
| Links: |
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| DOI / URN: |
10.1007/BF02468525 |
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OLC2034423283 |
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| 520 | |a Abstract A spherically symmetric problem of oscillations of a single gas bubble at the center of a spherical flask filled with a compressible liquid under the action of pressure oscillations on the flask wall is considered. A system of differential-difference equations is obtained that extends the Rayleigh-Plesset equation to the case of a compressible liquid and takes into account the pressure-wave reflection from the bubble and the flask wall. A linear analysis of solutions of this system of equations is performed for the case of harmonic oscillations of the bubble. Nonlinear resonance oscillations and nearly resonance nonharmonic oscillations of the bubble caused by harmonic pressure oscillations on the flask wall are analyzed. | ||
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10.1007/BF02468525 doi (DE-627)OLC2034423283 (DE-He213)BF02468525-p DE-627 ger DE-627 rakwb eng 530 VZ Nigmatulin, R. I. verfasserin aut Forced oscillations of a gas bubble in a spherical volume of a compressible liquid 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic/Plenum Publishers 1999 Abstract A spherically symmetric problem of oscillations of a single gas bubble at the center of a spherical flask filled with a compressible liquid under the action of pressure oscillations on the flask wall is considered. A system of differential-difference equations is obtained that extends the Rayleigh-Plesset equation to the case of a compressible liquid and takes into account the pressure-wave reflection from the bubble and the flask wall. A linear analysis of solutions of this system of equations is performed for the case of harmonic oscillations of the bubble. Nonlinear resonance oscillations and nearly resonance nonharmonic oscillations of the bubble caused by harmonic pressure oscillations on the flask wall are analyzed. Bubble Radius Bubble Collapse Periodic Regime Compressible Liquid Bubble Oscillation Akhatov, I. Sh. aut Vakhitova, N. K. aut Enthalten in Journal of applied mechanics and technical physics Kluwer Academic Publishers-Plenum Publishers, 1966 40(1999), 2 vom: März, Seite 285-291 (DE-627)129600946 (DE-600)241350-4 (DE-576)015094545 0021-8944 nnns volume:40 year:1999 number:2 month:03 pages:285-291 https://doi.org/10.1007/BF02468525 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_32 GBV_ILN_70 GBV_ILN_4307 GBV_ILN_4700 AR 40 1999 2 03 285-291 |
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10.1007/BF02468525 doi (DE-627)OLC2034423283 (DE-He213)BF02468525-p DE-627 ger DE-627 rakwb eng 530 VZ Nigmatulin, R. I. verfasserin aut Forced oscillations of a gas bubble in a spherical volume of a compressible liquid 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic/Plenum Publishers 1999 Abstract A spherically symmetric problem of oscillations of a single gas bubble at the center of a spherical flask filled with a compressible liquid under the action of pressure oscillations on the flask wall is considered. A system of differential-difference equations is obtained that extends the Rayleigh-Plesset equation to the case of a compressible liquid and takes into account the pressure-wave reflection from the bubble and the flask wall. A linear analysis of solutions of this system of equations is performed for the case of harmonic oscillations of the bubble. Nonlinear resonance oscillations and nearly resonance nonharmonic oscillations of the bubble caused by harmonic pressure oscillations on the flask wall are analyzed. Bubble Radius Bubble Collapse Periodic Regime Compressible Liquid Bubble Oscillation Akhatov, I. Sh. aut Vakhitova, N. K. aut Enthalten in Journal of applied mechanics and technical physics Kluwer Academic Publishers-Plenum Publishers, 1966 40(1999), 2 vom: März, Seite 285-291 (DE-627)129600946 (DE-600)241350-4 (DE-576)015094545 0021-8944 nnns volume:40 year:1999 number:2 month:03 pages:285-291 https://doi.org/10.1007/BF02468525 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_32 GBV_ILN_70 GBV_ILN_4307 GBV_ILN_4700 AR 40 1999 2 03 285-291 |
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10.1007/BF02468525 doi (DE-627)OLC2034423283 (DE-He213)BF02468525-p DE-627 ger DE-627 rakwb eng 530 VZ Nigmatulin, R. I. verfasserin aut Forced oscillations of a gas bubble in a spherical volume of a compressible liquid 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic/Plenum Publishers 1999 Abstract A spherically symmetric problem of oscillations of a single gas bubble at the center of a spherical flask filled with a compressible liquid under the action of pressure oscillations on the flask wall is considered. A system of differential-difference equations is obtained that extends the Rayleigh-Plesset equation to the case of a compressible liquid and takes into account the pressure-wave reflection from the bubble and the flask wall. A linear analysis of solutions of this system of equations is performed for the case of harmonic oscillations of the bubble. Nonlinear resonance oscillations and nearly resonance nonharmonic oscillations of the bubble caused by harmonic pressure oscillations on the flask wall are analyzed. Bubble Radius Bubble Collapse Periodic Regime Compressible Liquid Bubble Oscillation Akhatov, I. Sh. aut Vakhitova, N. K. aut Enthalten in Journal of applied mechanics and technical physics Kluwer Academic Publishers-Plenum Publishers, 1966 40(1999), 2 vom: März, Seite 285-291 (DE-627)129600946 (DE-600)241350-4 (DE-576)015094545 0021-8944 nnns volume:40 year:1999 number:2 month:03 pages:285-291 https://doi.org/10.1007/BF02468525 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_32 GBV_ILN_70 GBV_ILN_4307 GBV_ILN_4700 AR 40 1999 2 03 285-291 |
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10.1007/BF02468525 doi (DE-627)OLC2034423283 (DE-He213)BF02468525-p DE-627 ger DE-627 rakwb eng 530 VZ Nigmatulin, R. I. verfasserin aut Forced oscillations of a gas bubble in a spherical volume of a compressible liquid 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic/Plenum Publishers 1999 Abstract A spherically symmetric problem of oscillations of a single gas bubble at the center of a spherical flask filled with a compressible liquid under the action of pressure oscillations on the flask wall is considered. A system of differential-difference equations is obtained that extends the Rayleigh-Plesset equation to the case of a compressible liquid and takes into account the pressure-wave reflection from the bubble and the flask wall. A linear analysis of solutions of this system of equations is performed for the case of harmonic oscillations of the bubble. Nonlinear resonance oscillations and nearly resonance nonharmonic oscillations of the bubble caused by harmonic pressure oscillations on the flask wall are analyzed. Bubble Radius Bubble Collapse Periodic Regime Compressible Liquid Bubble Oscillation Akhatov, I. Sh. aut Vakhitova, N. K. aut Enthalten in Journal of applied mechanics and technical physics Kluwer Academic Publishers-Plenum Publishers, 1966 40(1999), 2 vom: März, Seite 285-291 (DE-627)129600946 (DE-600)241350-4 (DE-576)015094545 0021-8944 nnns volume:40 year:1999 number:2 month:03 pages:285-291 https://doi.org/10.1007/BF02468525 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_32 GBV_ILN_70 GBV_ILN_4307 GBV_ILN_4700 AR 40 1999 2 03 285-291 |
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10.1007/BF02468525 doi (DE-627)OLC2034423283 (DE-He213)BF02468525-p DE-627 ger DE-627 rakwb eng 530 VZ Nigmatulin, R. I. verfasserin aut Forced oscillations of a gas bubble in a spherical volume of a compressible liquid 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Kluwer Academic/Plenum Publishers 1999 Abstract A spherically symmetric problem of oscillations of a single gas bubble at the center of a spherical flask filled with a compressible liquid under the action of pressure oscillations on the flask wall is considered. A system of differential-difference equations is obtained that extends the Rayleigh-Plesset equation to the case of a compressible liquid and takes into account the pressure-wave reflection from the bubble and the flask wall. A linear analysis of solutions of this system of equations is performed for the case of harmonic oscillations of the bubble. Nonlinear resonance oscillations and nearly resonance nonharmonic oscillations of the bubble caused by harmonic pressure oscillations on the flask wall are analyzed. Bubble Radius Bubble Collapse Periodic Regime Compressible Liquid Bubble Oscillation Akhatov, I. Sh. aut Vakhitova, N. K. aut Enthalten in Journal of applied mechanics and technical physics Kluwer Academic Publishers-Plenum Publishers, 1966 40(1999), 2 vom: März, Seite 285-291 (DE-627)129600946 (DE-600)241350-4 (DE-576)015094545 0021-8944 nnns volume:40 year:1999 number:2 month:03 pages:285-291 https://doi.org/10.1007/BF02468525 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_20 GBV_ILN_32 GBV_ILN_70 GBV_ILN_4307 GBV_ILN_4700 AR 40 1999 2 03 285-291 |
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Abstract A spherically symmetric problem of oscillations of a single gas bubble at the center of a spherical flask filled with a compressible liquid under the action of pressure oscillations on the flask wall is considered. A system of differential-difference equations is obtained that extends the Rayleigh-Plesset equation to the case of a compressible liquid and takes into account the pressure-wave reflection from the bubble and the flask wall. A linear analysis of solutions of this system of equations is performed for the case of harmonic oscillations of the bubble. Nonlinear resonance oscillations and nearly resonance nonharmonic oscillations of the bubble caused by harmonic pressure oscillations on the flask wall are analyzed. © Kluwer Academic/Plenum Publishers 1999 |
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Abstract A spherically symmetric problem of oscillations of a single gas bubble at the center of a spherical flask filled with a compressible liquid under the action of pressure oscillations on the flask wall is considered. A system of differential-difference equations is obtained that extends the Rayleigh-Plesset equation to the case of a compressible liquid and takes into account the pressure-wave reflection from the bubble and the flask wall. A linear analysis of solutions of this system of equations is performed for the case of harmonic oscillations of the bubble. Nonlinear resonance oscillations and nearly resonance nonharmonic oscillations of the bubble caused by harmonic pressure oscillations on the flask wall are analyzed. © Kluwer Academic/Plenum Publishers 1999 |
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Abstract A spherically symmetric problem of oscillations of a single gas bubble at the center of a spherical flask filled with a compressible liquid under the action of pressure oscillations on the flask wall is considered. A system of differential-difference equations is obtained that extends the Rayleigh-Plesset equation to the case of a compressible liquid and takes into account the pressure-wave reflection from the bubble and the flask wall. A linear analysis of solutions of this system of equations is performed for the case of harmonic oscillations of the bubble. Nonlinear resonance oscillations and nearly resonance nonharmonic oscillations of the bubble caused by harmonic pressure oscillations on the flask wall are analyzed. © Kluwer Academic/Plenum Publishers 1999 |
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I.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Forced oscillations of a gas bubble in a spherical volume of a compressible liquid</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1999</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Kluwer Academic/Plenum Publishers 1999</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract A spherically symmetric problem of oscillations of a single gas bubble at the center of a spherical flask filled with a compressible liquid under the action of pressure oscillations on the flask wall is considered. A system of differential-difference equations is obtained that extends the Rayleigh-Plesset equation to the case of a compressible liquid and takes into account the pressure-wave reflection from the bubble and the flask wall. A linear analysis of solutions of this system of equations is performed for the case of harmonic oscillations of the bubble. 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K.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of applied mechanics and technical physics</subfield><subfield code="d">Kluwer Academic Publishers-Plenum Publishers, 1966</subfield><subfield code="g">40(1999), 2 vom: März, Seite 285-291</subfield><subfield code="w">(DE-627)129600946</subfield><subfield code="w">(DE-600)241350-4</subfield><subfield code="w">(DE-576)015094545</subfield><subfield code="x">0021-8944</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:40</subfield><subfield code="g">year:1999</subfield><subfield code="g">number:2</subfield><subfield code="g">month:03</subfield><subfield code="g">pages:285-291</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/BF02468525</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-TEC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_20</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_32</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4307</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">40</subfield><subfield code="j">1999</subfield><subfield code="e">2</subfield><subfield code="c">03</subfield><subfield code="h">285-291</subfield></datafield></record></collection>
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