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Asymptotic analysis of a silicon furnace model

Abstract:

Silicon is produced from quartz rock in electrode-heated furnaces by using carbon as a reduction agent. We perform an asymptotic analysis of a heat and mass transfer model of an experimental pilot furnace in order to determine the dominant chemical and thermal behaviour of the system. First, by prescribing a steady state temperature profile in the furnace we explore the leading order reactions in different spatial regions, as well as early time behaviour. We are able to obtain asymptotic solu...

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Publication status:
In press
Peer review status:
Peer reviewed

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Publisher:
Society for Industrial and Applied Mathematics Publisher's website
Journal:
SIAM Journal on Applied Mathematics Journal website
Publication date:
2018-03-05
Acceptance date:
2018-02-13
EISSN:
1095-712X
ISSN:
0036-1399
Pubs id:
pubs:829243
URN:
uri:e83a516a-7ae3-417a-889a-0bfd5a98d71c
UUID:
uuid:e83a516a-7ae3-417a-889a-0bfd5a98d71c
Local pid:
pubs:829243

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