Non-equilibrium evaporation: 1D benchmark problem for single gas

Author(s):  
Irina A. Graur ◽  
Elizaveta Ya. Gatapova ◽  
Moritz Wolf ◽  
Marina A. Batueva
Author(s):  
M. Chrigui ◽  
A. Sadiki ◽  
J. Janicka

Spray dispersion, evaporation and combustion have been numerically studied in a complex industrial configuration, which consists in a single annular combustor that was experimentally measured by Rolls-Royce-Deutschland Company. Simulations have been achieved using the Eulerian-Lagrangian approach. The computations of the continuous phase have been performed by means of RANS simulations. Though the k-ε as well as the Reynolds Stress model (Jones-Musonge) have been used for turbulence modeling. The 3D-computations have been performed in a fully two-way coupling. The effects of turbulence on droplets distribution are accounted for using the Markov sequence dispersion model. The equilibrium as well as the non-equilibrium evaporation model have been applied. In order to account for the combustion, the diffusion flame model is chosen. It relies on the computation of the mixture fraction that has been affected by the presence of vapor source terms. For the interaction of the turbulence with the chemistry, the mixture fraction variance has also been solved. For that purpose a presumed beta-PDF function has been considered. The equilibrium and the flamelet chemistry approaches have been used for the generation of the chemistry tables. The performed simulations have also been compared to commercial CFD-codes. From there one observes, that the obtained results using the mentioned sub-models combination agree most favorably with experimental measurements. One noted that the Reynolds Stress model provided smoother temperature distribution compared to k-ε. The flamelet model has been performed using three different scalar dissipation rates. One observes that differences are mainly located at the nozzle exit, where the scalar dissipation rate has got the highest value. Although the comparison between the numerical results and the experimental data was possible only at the combustor exit, due to the limitation on the measurement techniques, one can reiterate that the combination of the following sub-models: thermodynamically consistent model for the turbulence modulation, Langmuir-Knudsen non-equilibrium model for the evaporation, Reynolds Stress Model for the turbulence and flamelet model for the chemistry establish a reliable complete model that seems to allows a better description of reactive multi-phase flow studied in the frame of this work.


2017 ◽  
Vol 09 (08) ◽  
pp. 1750111 ◽  
Author(s):  
B. V. Librovich ◽  
A. F. Nowakowski ◽  
F. C. G. A. Nicolleau ◽  
T. M. Michelitsch

A new mathematical model for non-equilibrium evaporation/condensation including boiling effect is proposed. A simplified differential-algebraic system of equations is obtained. A code to solve numerically this differential-algebraic system has been developed. It is designed to solve both systems of equations with and without the boiling effect. Numerical calculations of ammonia–water systems with various initial conditions, which correspond to evaporation and/or condensation of both components, have been performed. It is shown that, although the system evolves quickly towards a quasi-equilibrium state, it is necessary to use a non-equilibrium evaporation model to calculate accurately the evaporation/condensation rates, and consequently all the other dependent variables.


Author(s):  
Fei Duan ◽  
C. A. Ward

Statistical rate theory (SRT) was applied to predict the saturation pressure of H2O based on the measurements of interfacial liquid-phase temperature, interfacial vapor-phase temperature, vapor-phase pressure, and average evaporation flux in non-equilibrium evaporation experiments. It is found that the predicted saturation pressure agrees with the Smithsonian Tables and Table given in the Handbook of Chemistry and Physics for water, H2O. SRT provides a new efficient method to determine the saturation-vapor pressure from a non-equilibrium precess.


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