BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Numerical and asymptotic solutions of vertical continuous casting 
 with and without superheat - Mitchell\, S (University of Limerick)
DTSTART:20140626T150000Z
DTEND:20140626T153000Z
UID:TALK53178@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-author: Michael Vynnycky (Royal Institute of Technology (Sw
 eden)) \n\nIn a continuous casting process\, such as the strip casting of 
 copper\, molten metal first passes through a water-cooled mould region\, b
 efore being subjected to a high cooling rate further downstream. Consequen
 tly\, the molten metal solidifies and the solidified metal is withdrawn at
  a uniform casting speed. Industrialists need to understand the factors in
 fluencing product quality and process productivity. Of key significance is
  the heat transfer that occurs during solidification\, particularly the lo
 cation of the interface between molten metal and solid. \n\nThe modelling 
 of the continuous casting of metals is known to involve the complex intera
 ction of non-isothermal fluid and solid mechanics. Typically\, the flow in
  the molten metal is turbulent\, and it is generally believed that a compu
 tational fluid dynamics (CFD) approach is necessary in order to correctly 
 capture the heat transfer characteristics. However\, we can show that an a
 symptotically reduced version of the CFD-based model\, which neglects this
  turbulence\, gives predictions for the pool depth\, local temperature pro
 files and mould wall heat flux that agree very well with results of the or
 iginal CFD model. \n\nThis reduced model can be described as a steady stat
 e 2D heat flow Stefan problem\, with a degenerate initial condition and no
 n-standard Neumann-type boundary condition. If we assume the incoming meta
 l is at the melt temperature then we obtain a one-phase model but with pot
 entially two stages\, depending whether the metal is fully solidified befo
 re leaving the mould. However\, in reality\, the incoming temperature is g
 reater than the melt temperature\, termed as including superheat\, and thi
 s leads to a two-phase model with a pre-solidification stage\, where the s
 econd phase only first appears after a finite delay. \n\nIn this work we h
 ighlight some numerical challenges in solving the systems with and without
  superheat. The Keller box finite-difference scheme is used\, along with a
  boundary immobilisation method.\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
END:VEVENT
END:VCALENDAR