Multiscale Modeling of Expanding Polyurethane Foams via Computational Fluid Dynamics and Population Balance Equation

Summary This study is aimed to formulate a numerical modeling recipe for polyurethane foams. The model is capable of simulating the foam principal characteristics during mold filling. The model is formulated upon coupling of Computational Fluid Dynamics (CFD) and Population Balance Equation (PBE) to...

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Vydáno v:	Macromolecular symposia. Ročník 360; číslo 1; s. 108 - 122
Hlavní autoři:	Karimi, Mohsen, Droghetti, Hermes, Marchisio, Daniele L.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Weinheim Blackwell Publishing Ltd 01.02.2016 Wiley Subscription Services, Inc
Témata:	Bubbles Computational fluid dynamics computer modeling Computer simulation Fluid dynamics Mathematical analysis Mathematical models Modelling Plastic foam Polyurethane foam polyurethanes population balance equation quadrature method of moments Simulation
ISSN:	1022-1360, 1521-3900
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Abstract	Summary This study is aimed to formulate a numerical modeling recipe for polyurethane foams. The model is capable of simulating the foam principal characteristics during mold filling. The model is formulated upon coupling of Computational Fluid Dynamics (CFD) and Population Balance Equation (PBE) to predict and simulate the evolution of foam features including apparent density and viscosity, bubble (or cell) size distribution (BSD) during the polymerization, as well as its kinetics. The solution of PBE inside the CFD code is performed with Quadrature Method of Moments (QMOM). The foam, constituted by a liquid polymer and gas bubbles, is simulated as a pseudo‐single‐phase system, while the interface between the foam and the surrounding air is tracked by a Volume‐of‐Fluid (VOF) solver within the open‐source CFD code OpenFOAM. The modeling is applied for a simple foaming experiment and attention is paid to the effect of the rheological model on the predictions.
AbstractList	Summary This study is aimed to formulate a numerical modeling recipe for polyurethane foams. The model is capable of simulating the foam principal characteristics during mold filling. The model is formulated upon coupling of Computational Fluid Dynamics (CFD) and Population Balance Equation (PBE) to predict and simulate the evolution of foam features including apparent density and viscosity, bubble (or cell) size distribution (BSD) during the polymerization, as well as its kinetics. The solution of PBE inside the CFD code is performed with Quadrature Method of Moments (QMOM). The foam, constituted by a liquid polymer and gas bubbles, is simulated as a pseudo-single-phase system, while the interface between the foam and the surrounding air is tracked by a Volume-of-Fluid (VOF) solver within the open-source CFD code OpenFOAM. The modeling is applied for a simple foaming experiment and attention is paid to the effect of the rheological model on the predictions. Summary This study is aimed to formulate a numerical modeling recipe for polyurethane foams. The model is capable of simulating the foam principal characteristics during mold filling. The model is formulated upon coupling of Computational Fluid Dynamics (CFD) and Population Balance Equation (PBE) to predict and simulate the evolution of foam features including apparent density and viscosity, bubble (or cell) size distribution (BSD) during the polymerization, as well as its kinetics. The solution of PBE inside the CFD code is performed with Quadrature Method of Moments (QMOM). The foam, constituted by a liquid polymer and gas bubbles, is simulated as a pseudo‐single‐phase system, while the interface between the foam and the surrounding air is tracked by a Volume‐of‐Fluid (VOF) solver within the open‐source CFD code OpenFOAM. The modeling is applied for a simple foaming experiment and attention is paid to the effect of the rheological model on the predictions. This study is aimed to formulate a numerical modeling recipe for polyurethane foams. The model is capable of simulating the foam principal characteristics during mold filling. The model is formulated upon coupling of Computational Fluid Dynamics (CFD) and Population Balance Equation (PBE) to predict and simulate the evolution of foam features including apparent density and viscosity, bubble (or cell) size distribution (BSD) during the polymerization, as well as its kinetics. The solution of PBE inside the CFD code is performed with Quadrature Method of Moments (QMOM). The foam, constituted by a liquid polymer and gas bubbles, is simulated as a pseudo-single-phase system, while the interface between the foam and the surrounding air is tracked by a Volume-of-Fluid (VOF) solver within the open-source CFD code OpenFOAM. The modeling is applied for a simple foaming experiment and attention is paid to the effect of the rheological model on the predictions.
Author	Droghetti, Hermes Marchisio, Daniele L. Karimi, Mohsen
Author_xml	– sequence: 1 givenname: Mohsen surname: Karimi fullname: Karimi, Mohsen email: mohsen.karimi@polito.it organization: Department of Applied Science and Technology, Institute of Chemical Engineering, Politecnico di Torino, C.so Duca degli Abrizzi 24, 10129, Torino, Italy – sequence: 2 givenname: Hermes surname: Droghetti fullname: Droghetti, Hermes email: hermes.droghetti@studenti.polito.it organization: Department of Applied Science and Technology, Institute of Chemical Engineering, Politecnico di Torino, C.so Duca degli Abrizzi 24, 10129, Torino, Italy – sequence: 3 givenname: Daniele L. surname: Marchisio fullname: Marchisio, Daniele L. email: daniele.marchisio@polito.it organization: Department of Applied Science and Technology, Institute of Chemical Engineering, Politecnico di Torino, C.so Duca degli Abrizzi 24, 10129, Torino, Italy
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Cites_doi	10.1002/ceat.200900202 10.1002/mats.201500014 10.1002/pen.760340804 10.1002/pen.760340805 10.1002/pen.11405 10.1002/fld.582 10.1016/S0009-2509(03)00211-2 10.1016/0009-2509(68)87018-6 10.1017/CBO9781139016599 10.1016/j.polymer.2005.03.126 10.1002/aic.690280213 10.1016/j.ces.2011.04.042 10.1063/1.1664624 10.1016/j.jaerosci.2004.07.009
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Snippet	Summary This study is aimed to formulate a numerical modeling recipe for polyurethane foams. The model is capable of simulating the foam principal... Summary This study is aimed to formulate a numerical modeling recipe for polyurethane foams. The model is capable of simulating the foam principal... This study is aimed to formulate a numerical modeling recipe for polyurethane foams. The model is capable of simulating the foam principal characteristics...
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SubjectTerms	Bubbles Computational fluid dynamics computer modeling Computer simulation Fluid dynamics Mathematical analysis Mathematical models Modelling Plastic foam Polyurethane foam polyurethanes population balance equation quadrature method of moments Simulation
Title	Multiscale Modeling of Expanding Polyurethane Foams via Computational Fluid Dynamics and Population Balance Equation
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