Permeability Measurements of 3D Microstructures Generated by Phase Field Simulation of the Solidification of an Al-Si Alloy during Chill Casting

The permeability of the semi-solid state is important for the compensation of volume shrinkage during solidification, since insufficient melt feeding can cause casting defects such as hot cracks or pores. Direct measurement of permeability during the dynamical evolution of solidification structures...

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Main Authors: Ralf Berger, Markus Apel, Gottfried Laschet, Wilhelm Jessen, Wolfgang Schröder, Jens Wipperfürth, Johannes Austermann, Christian Hopmann
Format: Article
Language:English
Published: MDPI AG 2021-11-01
Series:Metals
Subjects:
Online Access:https://www.mdpi.com/2075-4701/11/12/1895
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author Ralf Berger
Markus Apel
Gottfried Laschet
Wilhelm Jessen
Wolfgang Schröder
Jens Wipperfürth
Johannes Austermann
Christian Hopmann
author_facet Ralf Berger
Markus Apel
Gottfried Laschet
Wilhelm Jessen
Wolfgang Schröder
Jens Wipperfürth
Johannes Austermann
Christian Hopmann
author_sort Ralf Berger
collection DOAJ
description The permeability of the semi-solid state is important for the compensation of volume shrinkage during solidification, since insufficient melt feeding can cause casting defects such as hot cracks or pores. Direct measurement of permeability during the dynamical evolution of solidification structures is almost impossible, and numerical simulations are the best way to obtain quantitative values. Equiaxed solidification of the Al-Si-Mg alloy A356 was simulated on the microscopic scale using the phase field method. Simulated 3D solidification structures for different stages along the solidification path were digitally processed and scaled up to generate 3D models by additive manufacturing via fused filament fabrication (FFF). The Darcy permeability of these models was determined by measuring the flow rate and the pressure drop using glycerol as a model fluid. The main focus of this work is a comparison of the measured permeability to results from computational fluid flow simulations in the phase field framework. In particular, the effect of the geometrical constraint due to isolated domain walls in a unit cell with a periodic microstructure is discussed. A novel method to minimize this effect is presented. For permeability values varying by more than two orders of magnitude, the largest deviation between measured and simulated permeabilities is less than a factor of two.
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spelling doaj.art-2e6ddb3d9a7641699f68e1c960cb581c2023-11-23T09:32:35ZengMDPI AGMetals2075-47012021-11-011112189510.3390/met11121895Permeability Measurements of 3D Microstructures Generated by Phase Field Simulation of the Solidification of an Al-Si Alloy during Chill CastingRalf Berger0Markus Apel1Gottfried Laschet2Wilhelm Jessen3Wolfgang Schröder4Jens Wipperfürth5Johannes Austermann6Christian Hopmann7ACCESS e.V, Intzestrasse 5, D-52072 Aachen, GermanyACCESS e.V, Intzestrasse 5, D-52072 Aachen, GermanyACCESS e.V, Intzestrasse 5, D-52072 Aachen, GermanyInstitut of Aerodynamics (AIA), RWTH Aachen University, Wüllnerstrasse 5a, D-52062 Aachen, GermanyInstitut of Aerodynamics (AIA), RWTH Aachen University, Wüllnerstrasse 5a, D-52062 Aachen, GermanyInstitute of Plastics Processing (IKV), RWTH Aachen University, Seffenter Weg 201, D-52064 Aachen, GermanyInstitute of Plastics Processing (IKV), RWTH Aachen University, Seffenter Weg 201, D-52064 Aachen, GermanyInstitute of Plastics Processing (IKV), RWTH Aachen University, Seffenter Weg 201, D-52064 Aachen, GermanyThe permeability of the semi-solid state is important for the compensation of volume shrinkage during solidification, since insufficient melt feeding can cause casting defects such as hot cracks or pores. Direct measurement of permeability during the dynamical evolution of solidification structures is almost impossible, and numerical simulations are the best way to obtain quantitative values. Equiaxed solidification of the Al-Si-Mg alloy A356 was simulated on the microscopic scale using the phase field method. Simulated 3D solidification structures for different stages along the solidification path were digitally processed and scaled up to generate 3D models by additive manufacturing via fused filament fabrication (FFF). The Darcy permeability of these models was determined by measuring the flow rate and the pressure drop using glycerol as a model fluid. The main focus of this work is a comparison of the measured permeability to results from computational fluid flow simulations in the phase field framework. In particular, the effect of the geometrical constraint due to isolated domain walls in a unit cell with a periodic microstructure is discussed. A novel method to minimize this effect is presented. For permeability values varying by more than two orders of magnitude, the largest deviation between measured and simulated permeabilities is less than a factor of two.https://www.mdpi.com/2075-4701/11/12/1895solidificationpermeabilityphase fieldadditive manufacturingmeasurementscaled model
spellingShingle Ralf Berger
Markus Apel
Gottfried Laschet
Wilhelm Jessen
Wolfgang Schröder
Jens Wipperfürth
Johannes Austermann
Christian Hopmann
Permeability Measurements of 3D Microstructures Generated by Phase Field Simulation of the Solidification of an Al-Si Alloy during Chill Casting
Metals
solidification
permeability
phase field
additive manufacturing
measurement
scaled model
title Permeability Measurements of 3D Microstructures Generated by Phase Field Simulation of the Solidification of an Al-Si Alloy during Chill Casting
title_full Permeability Measurements of 3D Microstructures Generated by Phase Field Simulation of the Solidification of an Al-Si Alloy during Chill Casting
title_fullStr Permeability Measurements of 3D Microstructures Generated by Phase Field Simulation of the Solidification of an Al-Si Alloy during Chill Casting
title_full_unstemmed Permeability Measurements of 3D Microstructures Generated by Phase Field Simulation of the Solidification of an Al-Si Alloy during Chill Casting
title_short Permeability Measurements of 3D Microstructures Generated by Phase Field Simulation of the Solidification of an Al-Si Alloy during Chill Casting
title_sort permeability measurements of 3d microstructures generated by phase field simulation of the solidification of an al si alloy during chill casting
topic solidification
permeability
phase field
additive manufacturing
measurement
scaled model
url https://www.mdpi.com/2075-4701/11/12/1895
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