Analysis of Performance of Cavitation Models with Analytically Calculated Coefficients
Cavitation is often simulated using a mixture model, which considers the transport of an active scalar, namely the vapor fraction <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>α</mi><m...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/14/19/6425 |
| _version_ | 1797516617975857152 |
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| author | Andrea Savio Marta Cianferra Vincenzo Armenio |
| author_facet | Andrea Savio Marta Cianferra Vincenzo Armenio |
| author_sort | Andrea Savio |
| collection | DOAJ |
| description | Cavitation is often simulated using a mixture model, which considers the transport of an active scalar, namely the vapor fraction <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>α</mi><mi>v</mi></msub></semantics></math></inline-formula>. Source and sink terms of the transport equation of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>α</mi><mi>v</mi></msub></semantics></math></inline-formula>, namely vaporization and condensation terms, rule the dynamics of the cavity and are described through different models. These models contain empirical coefficients generally calibrated through optimization processes. The purpose of this paper is to propose an analytical approach for the calculation of the coefficients, based on the time scales of vaporization and condensation processes. Four different models are compared considering as a test-case a two-dimensional flow around a cylinder. Some relevant quantities are analyzed both for standard value of coefficients, as found in the literature, and the coefficients calculated through the analytical approach. The study shows that the analytical computation of the coefficients of the model substantially improve the results, and the models considered give similar results, both in terms of cavitation regime and mean vapor fraction produced. |
| first_indexed | 2024-03-10T07:03:23Z |
| format | Article |
| id | doaj.art-fa9afd38f9ed439a9ec758868dc9d789 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T07:03:23Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-fa9afd38f9ed439a9ec758868dc9d7892023-11-22T16:04:09ZengMDPI AGEnergies1996-10732021-10-011419642510.3390/en14196425Analysis of Performance of Cavitation Models with Analytically Calculated CoefficientsAndrea Savio0Marta Cianferra1Vincenzo Armenio2Department of Engineering and Architecture, University of Trieste, Via Alfonso Valerio, 6/1, 34127 Trieste, ItalyDepartment of Engineering and Architecture, University of Trieste, Via Alfonso Valerio, 6/1, 34127 Trieste, ItalyDepartment of Engineering and Architecture, University of Trieste, Via Alfonso Valerio, 6/1, 34127 Trieste, ItalyCavitation is often simulated using a mixture model, which considers the transport of an active scalar, namely the vapor fraction <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>α</mi><mi>v</mi></msub></semantics></math></inline-formula>. Source and sink terms of the transport equation of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>α</mi><mi>v</mi></msub></semantics></math></inline-formula>, namely vaporization and condensation terms, rule the dynamics of the cavity and are described through different models. These models contain empirical coefficients generally calibrated through optimization processes. The purpose of this paper is to propose an analytical approach for the calculation of the coefficients, based on the time scales of vaporization and condensation processes. Four different models are compared considering as a test-case a two-dimensional flow around a cylinder. Some relevant quantities are analyzed both for standard value of coefficients, as found in the literature, and the coefficients calculated through the analytical approach. The study shows that the analytical computation of the coefficients of the model substantially improve the results, and the models considered give similar results, both in terms of cavitation regime and mean vapor fraction produced.https://www.mdpi.com/1996-1073/14/19/6425cavitationcoefficient calculationhomogeneous mixture models |
| spellingShingle | Andrea Savio Marta Cianferra Vincenzo Armenio Analysis of Performance of Cavitation Models with Analytically Calculated Coefficients Energies cavitation coefficient calculation homogeneous mixture models |
| title | Analysis of Performance of Cavitation Models with Analytically Calculated Coefficients |
| title_full | Analysis of Performance of Cavitation Models with Analytically Calculated Coefficients |
| title_fullStr | Analysis of Performance of Cavitation Models with Analytically Calculated Coefficients |
| title_full_unstemmed | Analysis of Performance of Cavitation Models with Analytically Calculated Coefficients |
| title_short | Analysis of Performance of Cavitation Models with Analytically Calculated Coefficients |
| title_sort | analysis of performance of cavitation models with analytically calculated coefficients |
| topic | cavitation coefficient calculation homogeneous mixture models |
| url | https://www.mdpi.com/1996-1073/14/19/6425 |
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