Numerical solution of 2D wet steam flow with nonequilibrium condensation and real thermodynamics
Abstract
An approach to modeling of wet steam flow with nonequilibrium condensation phenomenon is presented. The first part of our flow model is homogeneous Euler system of transport equations for mass, momentum and total energy of wet steam (mixture). The additional second part describes liquid phase via nonhomogeneous system of transport equations for moments of droplets number distribution function and relies on corrected classical nucleation theory. Moment equations are closed by linearization of droplet growth rate model. All necessary relations for thermodynamic properties of steam are provided by IAPWS set of equations. However, properties of condensate are simply modeled by liquid saturation data. Two real equations of state are implemented. Recently developed CFD formulation for entropy (does not require iteration process) and socalled IAPWS special gas equation for Helmholtz energy (one iteration loop is necessary). Flow model is validated on convergingdiverging supersonic nozzle with Barschdorff geometry. Simulations were performed by inhouse CFD code based on finite volume method and stiff character of equations was solved by symmetrical time operator splitting. Achieved results satisfactorily agreed with experimental data.
 Authors:
 Department of Technical Mathematics, FME CTU Prague, Karl. nám. 13, CZ12135 Prague 2 (Czech Republic)
 Institute of Thermomechanics, AS CR, Dolejškova 5, CZ18200, Prague 8 (Czech Republic)
 Publication Date:
 OSTI Identifier:
 22391043
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: AIP Conference Proceedings; Journal Volume: 1648; Journal Issue: 1; Conference: ICNAAM2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 2228 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPUTERIZED SIMULATION; DISTRIBUTION FUNCTIONS; DROPLETS; ENTROPY; EQUATIONS OF STATE; EQUILIBRIUM; FLOW MODELS; FLUID MECHANICS; LIQUIDS; MIXTURES; NUCLEATION; NUMERICAL SOLUTION; STEAM; THERMODYNAMICS; TRANSPORT THEORY
Citation Formats
Hric, V., and Halama, J. Numerical solution of 2D wet steam flow with nonequilibrium condensation and real thermodynamics. United States: N. p., 2015.
Web. doi:10.1063/1.4912347.
Hric, V., & Halama, J. Numerical solution of 2D wet steam flow with nonequilibrium condensation and real thermodynamics. United States. doi:10.1063/1.4912347.
Hric, V., and Halama, J. 2015.
"Numerical solution of 2D wet steam flow with nonequilibrium condensation and real thermodynamics". United States.
doi:10.1063/1.4912347.
@article{osti_22391043,
title = {Numerical solution of 2D wet steam flow with nonequilibrium condensation and real thermodynamics},
author = {Hric, V. and Halama, J.},
abstractNote = {An approach to modeling of wet steam flow with nonequilibrium condensation phenomenon is presented. The first part of our flow model is homogeneous Euler system of transport equations for mass, momentum and total energy of wet steam (mixture). The additional second part describes liquid phase via nonhomogeneous system of transport equations for moments of droplets number distribution function and relies on corrected classical nucleation theory. Moment equations are closed by linearization of droplet growth rate model. All necessary relations for thermodynamic properties of steam are provided by IAPWS set of equations. However, properties of condensate are simply modeled by liquid saturation data. Two real equations of state are implemented. Recently developed CFD formulation for entropy (does not require iteration process) and socalled IAPWS special gas equation for Helmholtz energy (one iteration loop is necessary). Flow model is validated on convergingdiverging supersonic nozzle with Barschdorff geometry. Simulations were performed by inhouse CFD code based on finite volume method and stiff character of equations was solved by symmetrical time operator splitting. Achieved results satisfactorily agreed with experimental data.},
doi = {10.1063/1.4912347},
journal = {AIP Conference Proceedings},
number = 1,
volume = 1648,
place = {United States},
year = 2015,
month = 3
}

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