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Evaporating Rayleigh-Benard convection: prediction of interface temperature and global heat transfer modulation
KTH, School of Engineering Sciences (SCI), Engineering Mechanics, Fluid Mechanics and Engineering Acoustics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.ORCID iD: 0000-0002-1330-3348
Cyprus Inst, Computat Based Sci & Technol Res Ctr, Nicosia, Cyprus..
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, School of Engineering Sciences (SCI), Engineering Mechanics, Fluid Mechanics and Engineering Acoustics. Norwegian Univ Sci & Technol NTNU, Dept Energy & Proc Engn, Trondheim, Norway..ORCID iD: 0000-0002-4346-4732
2023 (English)In: Journal of Fluid Mechanics, ISSN 0022-1120, E-ISSN 1469-7645, Vol. 957, article id A12Article in journal (Refereed) Published
Abstract [en]

We propose an analytical model to estimate the interface temperature Theta(Gamma) and the Nusselt number Nu for an evaporating two-layer Rayleigh-Benard configuration in statistically stationary conditions. The model is based on three assumptions: (i) the Oberbeck-Boussinesq approximation can be applied to the liquid phase, while the gas thermophysical properties are generic functions of thermodynamic pressure, local temperature and vapour composition, (ii) the Grossmann-Lohse theory for thermal convection can be applied to the liquid and gas layers separately and (iii) the vapour content in the gas can be taken as the mean value at the gas-liquid interface. We validate this setting using direct numerical simulations in a parameter space composed of the Rayleigh number (10(6) <= Ra <= 10(8)) and the temperature differential (0.05 <= epsilon <= 0.20), which modulates the variation of state variables in the gas layer. To better disentangle the variable property effects on Theta(Gamma) and Nu, simulations are performed in two conditions. First, we consider the case of uniform gas properties except for the gas density and gas-liquid diffusion coefficient. Second, we include the variation of specific heat capacity, dynamic viscosity and thermal conductivity using realistic equations of state. Irrespective of the employed setting, the proposed model agrees very well with the numerical simulations over the entire range of Ra-epsilon investigated.

Place, publisher, year, edition, pages
Cambridge University Press (CUP) , 2023. Vol. 957, article id A12
Keywords [en]
Benard convection, multiphase flow, condensation/evaporation
National Category
Fluid Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-324797DOI: 10.1017/jfm.2023.57ISI: 000933465400001Scopus ID: 2-s2.0-85148487797OAI: oai:DiVA.org:kth-324797DiVA, id: diva2:1743793
Note

QC 20230316

Available from: 2023-03-16 Created: 2023-03-16 Last updated: 2025-02-09Bibliographically approved

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Scapin, NicoloBrandt, Luca

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