{"title":"Analysis of the explicit volume diffusion subgrid closure for the Σ−Y model to interfacial flows over a wide range of Weber numbers","authors":"","doi":"10.1016/j.ijmultiphaseflow.2024.104914","DOIUrl":null,"url":null,"abstract":"<div><p>The explicit volume diffusion (EVD) method was recently proposed for simulating interfacial flows based on the volume of fluid method. In this work, the EVD equations are derived rigorously from the <span><math><mrow><mi>Σ</mi><mo>−</mo><mi>Y</mi></mrow></math></span> (surface density and mass fraction) perspective under the large eddy simulation (LES) framework. Volume averaging is applied over an explicit length scale <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mi>V</mi></mrow></msub></math></span> that is grid-independent. The sub-volume flux and stress are closed through gradient diffusion and viscosity models that account for the presence of an interface and turbulence, and have the correct limits in the absence of interface vorticity and in the pure phases. An EVD equation for <span><math><mi>Σ</mi></math></span> is introduced for the first time to model the volume averaged surface tension. The EVD model and closures are tested for three different liquid jet breakup cases: a series of laminar round jets in the Rayleigh-Plateau regime (<span><math><mrow><mn>12</mn><mo><</mo><mi>W</mi><msub><mrow><mi>e</mi></mrow><mrow><mi>l</mi></mrow></msub><mo><</mo><mn>34</mn></mrow></math></span>), a turbulent coaxial air-blast jet (<span><math><mrow><mi>W</mi><msub><mrow><mi>e</mi></mrow><mrow><mi>g</mi></mrow></msub><mo>=</mo><mn>75</mn></mrow></math></span>) and a high Weber number turbulent crossflow (<span><math><mrow><mi>W</mi><msub><mrow><mi>e</mi></mrow><mrow><mi>g</mi></mrow></msub><mo>=</mo><mn>330</mn></mrow></math></span>). Numerical convergence and sensitivity to <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mi>V</mi></mrow></msub></math></span> are investigated, along with comparisons to linear theory, experimental data, empirical correlations and previous simulations. The effects of the closures on flow dynamics and key dimensionless numbers are also analysed.</p></div>","PeriodicalId":339,"journal":{"name":"International Journal of Multiphase Flow","volume":null,"pages":null},"PeriodicalIF":3.6000,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0301932224001915/pdfft?md5=876f2feb2f75ac0a1bc7d3f4bdbc543a&pid=1-s2.0-S0301932224001915-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/S0301932224001915","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
The explicit volume diffusion (EVD) method was recently proposed for simulating interfacial flows based on the volume of fluid method. In this work, the EVD equations are derived rigorously from the (surface density and mass fraction) perspective under the large eddy simulation (LES) framework. Volume averaging is applied over an explicit length scale that is grid-independent. The sub-volume flux and stress are closed through gradient diffusion and viscosity models that account for the presence of an interface and turbulence, and have the correct limits in the absence of interface vorticity and in the pure phases. An EVD equation for is introduced for the first time to model the volume averaged surface tension. The EVD model and closures are tested for three different liquid jet breakup cases: a series of laminar round jets in the Rayleigh-Plateau regime (), a turbulent coaxial air-blast jet () and a high Weber number turbulent crossflow (). Numerical convergence and sensitivity to are investigated, along with comparisons to linear theory, experimental data, empirical correlations and previous simulations. The effects of the closures on flow dynamics and key dimensionless numbers are also analysed.
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.