Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evaporating Rayleigh-B\'enard convection: prediction of interface
  temperature and global heat transfer modulation   We propose an analytical model to estimate the interface temperature
$\Theta_{\Gamma}$ and the Nusselt number $Nu$ for an evaporating two-layer
Rayleigh-B\'enard configuration in statistically stationary conditions. The
model is based on three assumptions: (i) the Grossmann-Lohse theory for thermal
convection can be applied on the liquid and gas layers separately, (ii) the
vapour content in the gas can be taken as the mean value at the gas-liquid
interface and (iii) the bulk gas temperature can be determined neglecting the
contributions of the thermal boundary layers. The resulting model can
accommodate non-Oberbeck-Boussinesq effects in the liquid and the gas phases,
as well as the variation of the liquid height due to evaporation. To obtain a
simplified scaling between $Nu$ and the Rayleigh number $Ra$, we specify the
model for the case of an Oberbeck-Boussinesq liquid and a gas phase with
uniform properties except for the gas density and the vapour diffusion
coefficient, which are functions of thermodynamic pressure, local temperature
and vapour composition. We validate this simplified setting using direct
numerical simulations for $Ra=10^6, 10^7$ and $10^8$ and for four values of the
temperature differential $\varepsilon=0.05,0.10,0.15$ and $0.20$, which
modulates the change of state variables in the gas layer. The proposed model
agrees very well with the numerical simulations in the entire range of
$Ra-\varepsilon$ investigated.

12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph