Corentin Reiss , Antoine Gerschenfeld , Catherine Colin
{"title":"基于显著空隙开始的热通量分区","authors":"Corentin Reiss , Antoine Gerschenfeld , Catherine Colin","doi":"10.1016/j.ijmultiphaseflow.2024.104972","DOIUrl":null,"url":null,"abstract":"<div><p>The thermal log-law <span><math><mrow><msub><mrow><mi>Θ</mi></mrow><mrow><mo>+</mo></mrow></msub><mrow><mo>(</mo><msub><mrow><mi>y</mi></mrow><mrow><mo>+</mo></mrow></msub><mo>)</mo></mrow><mo>=</mo><mi>β</mi><mo>+</mo><mn>2</mn><mo>.</mo><mn>12</mn><mo>log</mo><mrow><mo>(</mo><msub><mrow><mi>y</mi></mrow><mrow><mo>+</mo></mrow></msub><mo>)</mo></mrow></mrow></math></span> is valid in flow boiling with a value of <span><math><mi>β</mi></math></span> that evolves as the flow develops. Using a multiphase flow cross-literature database, this constant is shown to be <span><math><mrow><msub><mrow><mi>β</mi></mrow><mrow><mi>O</mi><mi>S</mi><mi>V</mi></mrow></msub><mo>=</mo><mo>−</mo><mn>7</mn></mrow></math></span> at the point of onset of significant void (OSV). This means that at the OSV the liquid is at saturation temperature up to <span><math><mrow><msub><mrow><mi>y</mi></mrow><mrow><mo>+</mo></mrow></msub><mo>≃</mo><mn>30</mn></mrow></math></span>. The OSV predictions using this model have a similar mean average error as the Saha and Zuber 1974 correlation for one less fitted constant for channel, pipe and annular flows for pressure from 1 to 147 bar and Peclet numbers from <span><math><mrow><mn>3</mn><mo>.</mo><mn>5</mn><mi>⋅</mi><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>3</mn></mrow></msup></mrow></math></span> to <span><math><mrow><mn>4</mn><mi>⋅</mi><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>5</mn></mrow></msup></mrow></math></span>. This model is used to build a heat flux partitioning (HFP) inspired from system-scale codes (Lahey 1978). It predicts the distribution of the heat flux between the liquid phase and the evaporation term when the total heat flux is known. It does not give information on the total heat flux as a function of wall temperature and cannot be used to draw a boiling curve. In imposed flux conditions, this partition provides more coherent flux distribution between the evaporation and liquid terms than Kurul and Podowski (1990) based approaches and improves void fraction predictions in high-subcooling regions on the DEBORA database (Garnier et al. 2001) and on experiments by Bartolomei and Chanturiya (1967) and Bartolomei et al. (1982). When the wall temperature is imposed, it must be coupled with an empirical boiling total heat flux correlation to replace a traditional HFP. The prediction of the total heat flux is then as good as that of the correlation.</p></div>","PeriodicalId":339,"journal":{"name":"International Journal of Multiphase Flow","volume":"181 ","pages":"Article 104972"},"PeriodicalIF":3.6000,"publicationDate":"2024-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0301932224002490/pdfft?md5=0037044f6d191db5c0c60698bc976a9d&pid=1-s2.0-S0301932224002490-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Heat flux partition based on onset of significant void\",\"authors\":\"Corentin Reiss , Antoine Gerschenfeld , Catherine Colin\",\"doi\":\"10.1016/j.ijmultiphaseflow.2024.104972\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The thermal log-law <span><math><mrow><msub><mrow><mi>Θ</mi></mrow><mrow><mo>+</mo></mrow></msub><mrow><mo>(</mo><msub><mrow><mi>y</mi></mrow><mrow><mo>+</mo></mrow></msub><mo>)</mo></mrow><mo>=</mo><mi>β</mi><mo>+</mo><mn>2</mn><mo>.</mo><mn>12</mn><mo>log</mo><mrow><mo>(</mo><msub><mrow><mi>y</mi></mrow><mrow><mo>+</mo></mrow></msub><mo>)</mo></mrow></mrow></math></span> is valid in flow boiling with a value of <span><math><mi>β</mi></math></span> that evolves as the flow develops. Using a multiphase flow cross-literature database, this constant is shown to be <span><math><mrow><msub><mrow><mi>β</mi></mrow><mrow><mi>O</mi><mi>S</mi><mi>V</mi></mrow></msub><mo>=</mo><mo>−</mo><mn>7</mn></mrow></math></span> at the point of onset of significant void (OSV). This means that at the OSV the liquid is at saturation temperature up to <span><math><mrow><msub><mrow><mi>y</mi></mrow><mrow><mo>+</mo></mrow></msub><mo>≃</mo><mn>30</mn></mrow></math></span>. The OSV predictions using this model have a similar mean average error as the Saha and Zuber 1974 correlation for one less fitted constant for channel, pipe and annular flows for pressure from 1 to 147 bar and Peclet numbers from <span><math><mrow><mn>3</mn><mo>.</mo><mn>5</mn><mi>⋅</mi><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>3</mn></mrow></msup></mrow></math></span> to <span><math><mrow><mn>4</mn><mi>⋅</mi><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>5</mn></mrow></msup></mrow></math></span>. This model is used to build a heat flux partitioning (HFP) inspired from system-scale codes (Lahey 1978). It predicts the distribution of the heat flux between the liquid phase and the evaporation term when the total heat flux is known. It does not give information on the total heat flux as a function of wall temperature and cannot be used to draw a boiling curve. In imposed flux conditions, this partition provides more coherent flux distribution between the evaporation and liquid terms than Kurul and Podowski (1990) based approaches and improves void fraction predictions in high-subcooling regions on the DEBORA database (Garnier et al. 2001) and on experiments by Bartolomei and Chanturiya (1967) and Bartolomei et al. (1982). When the wall temperature is imposed, it must be coupled with an empirical boiling total heat flux correlation to replace a traditional HFP. The prediction of the total heat flux is then as good as that of the correlation.</p></div>\",\"PeriodicalId\":339,\"journal\":{\"name\":\"International Journal of Multiphase Flow\",\"volume\":\"181 \",\"pages\":\"Article 104972\"},\"PeriodicalIF\":3.6000,\"publicationDate\":\"2024-08-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0301932224002490/pdfft?md5=0037044f6d191db5c0c60698bc976a9d&pid=1-s2.0-S0301932224002490-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Multiphase Flow\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0301932224002490\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Multiphase Flow","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0301932224002490","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MECHANICS","Score":null,"Total":0}
Heat flux partition based on onset of significant void
The thermal log-law is valid in flow boiling with a value of that evolves as the flow develops. Using a multiphase flow cross-literature database, this constant is shown to be at the point of onset of significant void (OSV). This means that at the OSV the liquid is at saturation temperature up to . The OSV predictions using this model have a similar mean average error as the Saha and Zuber 1974 correlation for one less fitted constant for channel, pipe and annular flows for pressure from 1 to 147 bar and Peclet numbers from to . This model is used to build a heat flux partitioning (HFP) inspired from system-scale codes (Lahey 1978). It predicts the distribution of the heat flux between the liquid phase and the evaporation term when the total heat flux is known. It does not give information on the total heat flux as a function of wall temperature and cannot be used to draw a boiling curve. In imposed flux conditions, this partition provides more coherent flux distribution between the evaporation and liquid terms than Kurul and Podowski (1990) based approaches and improves void fraction predictions in high-subcooling regions on the DEBORA database (Garnier et al. 2001) and on experiments by Bartolomei and Chanturiya (1967) and Bartolomei et al. (1982). When the wall temperature is imposed, it must be coupled with an empirical boiling total heat flux correlation to replace a traditional HFP. The prediction of the total heat flux is then as good as that of the correlation.
期刊介绍:
The International Journal of Multiphase Flow publishes analytical, numerical and experimental articles of lasting interest. The scope of the journal includes all aspects of mass, momentum and energy exchange phenomena among different phases such as occur in disperse flows, gas–liquid and liquid–liquid flows, flows in porous media, boiling, granular flows and others.
The journal publishes full papers, brief communications and conference announcements.