Original title: Mathematical modeling of planar and spherical vapor–liquid phase interfaces for multicomponent fluids
Authors: Celný, David ; Vinš, Václav ; Planková, Barbora ; Hrubý, Jan
Document type: Papers
Conference/Event: Experimental Fluid Mechanics 2015 /10./, Praha (CZ), 2015-11-17 / 2015-11-20
Year: 2015
Language: eng
Abstract: Methods for accurate modeling of phase interfaces are important for understanding natural processes and application in technology. In particular, prediction of the non-equilibrium phase transition requires the knowledge of the strongly curved phase interfaces of microscopic droplets. In our work, we focus on the spherical vapor–liquid interfaces for binary mixtures. We developed a computational method able to determine the density and concentration profiles. The fundamentals of our approach lie in the gradient theory, allowing to transcribe the functional formulation into a system of Euler-Langrange equations. System is then modified into a shape suitable for iterative computation. For this task, we employ the Newton-Raphson and the shooting methods ensuring a good convergence speed. For the thermodynamic properties, the PC–SAFT EoS is used. We determined the density and concentration profiles of the binary mixture C O 2 & C 9 H 20 for spherical phase interfaces at various saturation factors.
Keywords: gradient theory; PC-SAFT EoS; spherical phase interface
Project no.: GAP101/11/1593 (CEP), 7F14466 (CEP)
Funding provider: GA ČR, GA MŠk
Host item entry: Experimental Fluid Mechanics 2015

Institution: Institute of Thermomechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0254899

Permalink: http://www.nusl.cz/ntk/nusl-201370


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Research > Institutes ASCR > Institute of Thermomechanics
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