Computer Simulation of the Solidification Process Including Air Gap Formation

The paper presents an approach of numerical modelling of alloy solidification in permanent mold and transient heat transport between the casting and the mold in two-dimensional space. The gap of time-dependent width called "air gap", filled with heat conducting gaseous medium is included i...

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Main Authors: Skrzypczak T., Węgrzyn-Skrzypczak E., Sowa L.
Format: Article
Language:English
Published: Polish Academy of Sciences 2017-12-01
Series:Archives of Foundry Engineering
Subjects:
Online Access:http://www.degruyter.com/view/j/afe.2017.17.issue-4/afe-2017-0147/afe-2017-0147.xml?format=INT
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author Skrzypczak T.
Węgrzyn-Skrzypczak E.
Sowa L.
author_facet Skrzypczak T.
Węgrzyn-Skrzypczak E.
Sowa L.
author_sort Skrzypczak T.
collection DOAJ
description The paper presents an approach of numerical modelling of alloy solidification in permanent mold and transient heat transport between the casting and the mold in two-dimensional space. The gap of time-dependent width called "air gap", filled with heat conducting gaseous medium is included in the model. The coefficient of thermal conductivity of the gas filling the space between the casting and the mold is small enough to introduce significant thermal resistance into the heat transport process. The mathematical model of heat transport is based on the partial differential equation of heat conduction written independently for the solidifying region and the mold. Appropriate solidification model based on the latent heat of solidification is also included in the mathematical description. These equations are supplemented by appropriate initial and boundary conditions. The formation process of air gap depends on the thermal deformations of the mold and the casting. The numerical model is based on the finite element method (FEM) with independent spatial discretization of interacting regions. It results in multi-mesh problem because the considered regions are disconnected.
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spelling doaj.art-c205b38b777841fe9a44ce9ad72867952023-08-02T04:35:25ZengPolish Academy of SciencesArchives of Foundry Engineering2299-29442017-12-0117414715010.1515/afe-2017-0147afe-2017-0147Computer Simulation of the Solidification Process Including Air Gap FormationSkrzypczak T.0Węgrzyn-Skrzypczak E.1Sowa L.2Faculty of Mechanical Engineering and Computer Science, Czestochowa University of Technology, Armii Krajowej 21, 42-201 Częstochowa, PolandFaculty of Mechanical Engineering and Computer Science, Czestochowa University of Technology, Armii Krajowej 21, 42-201 Częstochowa, PolandFaculty of Mechanical Engineering and Computer Science, Czestochowa University of Technology, Armii Krajowej 21, 42-201 Częstochowa, PolandThe paper presents an approach of numerical modelling of alloy solidification in permanent mold and transient heat transport between the casting and the mold in two-dimensional space. The gap of time-dependent width called "air gap", filled with heat conducting gaseous medium is included in the model. The coefficient of thermal conductivity of the gas filling the space between the casting and the mold is small enough to introduce significant thermal resistance into the heat transport process. The mathematical model of heat transport is based on the partial differential equation of heat conduction written independently for the solidifying region and the mold. Appropriate solidification model based on the latent heat of solidification is also included in the mathematical description. These equations are supplemented by appropriate initial and boundary conditions. The formation process of air gap depends on the thermal deformations of the mold and the casting. The numerical model is based on the finite element method (FEM) with independent spatial discretization of interacting regions. It results in multi-mesh problem because the considered regions are disconnected.http://www.degruyter.com/view/j/afe.2017.17.issue-4/afe-2017-0147/afe-2017-0147.xml?format=INTSolidification processComputer simulationFinite element methodMulti-mesh approachAir gap
spellingShingle Skrzypczak T.
Węgrzyn-Skrzypczak E.
Sowa L.
Computer Simulation of the Solidification Process Including Air Gap Formation
Archives of Foundry Engineering
Solidification process
Computer simulation
Finite element method
Multi-mesh approach
Air gap
title Computer Simulation of the Solidification Process Including Air Gap Formation
title_full Computer Simulation of the Solidification Process Including Air Gap Formation
title_fullStr Computer Simulation of the Solidification Process Including Air Gap Formation
title_full_unstemmed Computer Simulation of the Solidification Process Including Air Gap Formation
title_short Computer Simulation of the Solidification Process Including Air Gap Formation
title_sort computer simulation of the solidification process including air gap formation
topic Solidification process
Computer simulation
Finite element method
Multi-mesh approach
Air gap
url http://www.degruyter.com/view/j/afe.2017.17.issue-4/afe-2017-0147/afe-2017-0147.xml?format=INT
work_keys_str_mv AT skrzypczakt computersimulationofthesolidificationprocessincludingairgapformation
AT wegrzynskrzypczake computersimulationofthesolidificationprocessincludingairgapformation
AT sowal computersimulationofthesolidificationprocessincludingairgapformation