The extensively published models of the ESR process assume a singular value of the slag thermal conductivity and employ that value in a format which assumes heat conduction entirely by a phonon mechanism. In this work we investigate the possibility that the mechanism is a phonon/photon mechanism in a slag which is diathermanous. The conclusion is that such a model assumption better represents the practical behaviour of the process and should be used in model structures. It is also suggested that the concept has a wider application to other metallurgical processes which use slags having some degree of photon conductivity.
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References
1.
DubVSYa LevkovLKisselmanMAet al.Control of physical and structural uniformity of electroslag remelted hollow ingot. Proc Liquid Metal Processing and Casting Conference 2017; New York (NY): TMS; 2017, p. 47–57.
2.
Wanming LiZJZangXDengXet al.Improvement of carbide morphologies in electroslag processing of high speed steels. Proc Liquid Metal Processing and Casting Conference 2017; New York (NY): TMS; 2017, p. 85–93.
3.
O’ConnellCJEvansDGKelkarKMet al.Industrial-scale validation of a transient computational model for electroslag remelting. Proc Liquid Metal Processing and Casting Conference 2017; New York (NY): TMS; 2017, p. 93–103.
4.
PlotowskiAKraneMJMet al.The sensitivity of an electroslag model to uncertain slag parameters. Proc Liquid Metal Processing and Casting Conference 2017; New York (NY): TMS; 2017, p. 109–119.
5.
DavidchenkoSStovpchenkoGSalnikovAet al.Potentials of an acid slag for ESR. Proc Liquid Metal Processing and Casting Conference 2017; New York (NY): TMS; 2017, p. 145-149.
6.
YuJLiuFJiangZet al.A 2D model for transient flow. Proc Liquid Metal Processing and Casting Conference 2017; New York (NY): TMS; 2017, p. 149-157.
7.
HuangXLiBLiuZet al.Effect of remelting atmosphere on oxygen transfer in ESR. Proc Liquid Metal Processing and Casting Conference 2017; New York (NY): TMS; 2017, p. 183-191.
8.
LiBRengNLiuZet al.Effect of an innovative hot-topping on the solidification of a large ingot. Proc Liquid Metal Processing and Casting Conference 2017; New York (NY): TMS; 2017, p. 191-199.
9.
Karim-SibakiEKharichaAWuMet al.CFD Modelling of the electrode change during the ESR process. Proc Liquid Metal Processing and Casting Conference 2017; New York (NY): TMS; 2017, p. 213-217.
10.
ChauletJKharichaADussoubsBet al.DNS and Engineering modelling of the ESR process. Proc Liquid Metal Processing and Casting Conference 2019; New York (NY): TMS; 2019, p. 107-117.
11.
HuangXLiBLuiZet al.Effect of vacuum on oxygen control during the electroslag remelting of die steel H13. Proc Liquid Metal Processing and Casting Conference 2019; New York (NY): TMS; 2019, p. 205-213.
12.
WeberVJardyADussoubsBet al.A comprehensive model of the ESR process description and validation. Proc Liquid Metal Processing and Casting Conference 2007; Paris: SFM2; 2007, p. 83–89.
13.
KharichASchutzenhoferWLudwigWet al.Multiphase modelling of the slag region in ESR process. Proc Liquid Metal Processing and Casting Conference 2007; Paris: SFM2; 2007, p. 107-113.
14.
ChenXJiangZMedovarLet al.Hot test simulation of hollow ESR ingots. Proc Liquid Metal Processing and Casting Conference 2013; New York (NY): TMS; 2013, p. 84–93.
15.
KelkarKMPatankarSVMitchellAet al.Computational modelling of the ESR process used for the production of ingots of high performance alloys. Proc. Liquid Metal and Casting Conference 2005; OH: ASM; 2005, p. 137–145.
16.
HouZKelkarKPatankarSet al.Mathematical modeling of ESR. Proc Liquid Metal Processing and Casting Symposium; New York (NY): AVS; 1999, p. 186–196.
17.
DongY-WJiangZ-HFanJ-Xet al.Comprehensive mathematical model for simulating electroslag remelting. Met Trans B. 2016;47B:1475–1488.
18.
SzekelyJPomoveroH.Modelling the ESR process. Met Trans B. 1978;9B:83–92.
19.
JardyAAblitzerBWadierJ-F.Magnetodynamic and thermal characteristics of ESR slag. Met Trans B. 1991;22B:113–121.
20.
KharichaALudwigAWuM.On melting of electrodes during electro-slag remelting. ISIJ. 2014;54(7):1621–1628.
21.
WangQLiY.Comprehensive mathematical model for simulating macrosegregation in ESR. ISIJ. 2015;55(5):1010–1016.
22.
WangQWangFLiBet al.Numerical study of the effect of electrode polarity on de-sulphurization in direct current ESR. Met Trans B. 2017;48B:2649–2663.
23.
WadierJ-FMitchellA.Heat transfer in ESR slags. Can Met Q. 1981;20(4):372–381.
24.
WangFWangQBaletaJet al.Sequential coupled simulation of multiphase fields in ESR. Met Trans B. 2020;51B:2285–2297.
MitchellAJoshiS.Thermal characteristics of the ESR process. Met Trans. 1973;4:631–642.
27.
HolzgruberWPlockingerE.Heat distribution in ESR. Stahl Eisen. 1968;88:638–648.
28.
MedovarBI.Electroslag remelting processes. State scientific and technical literature on ferrous and non-ferrous literature. Moscow: Publishing House; 1963, p. 158-160.
29.
OhtaHWasedaYShiraishiF.Measurement of thermal conductivity of molten silicates by means of laser flash method. In: FineHAGaskellDR, editors, Proc Second International Symposium on Metallurgical Slags and Fluxes; New York (NY): TMS; 1984, p. 863–875.
30.
WangWZhangKZhangH.Radiative -conductive high temperature study for mold flux properties. Met Trans B. 2019;50B:641–654.
31.
AmbrosekJAndersonMSridharanKet al.Current status of knowledge of the fluoride salt (FLiNaK) heat transfer. Nucl Technol. 2009;165:166–173.
32.
VenerakiIEDeshkoVIKhlebnikovOE.Determination of the thermal conductivity of liquid sodium chloride. Ukrainski Khimicheskii Zhurnal. 1976;42(2):212–214.
33.
PlotawskiAdeBarbadilloJKraneMJM.Characterisation of the structure and thermophysical properties of solid ESR slags. Mater Sci Technol. 2016;32(12):1249–1263.
34.
KangYMoritaH.Thermal conductivity of the CaO-Al2O3-SiO2System. ISIJ Int. 2006;46(3):420–426.
35.
LantelmeFGroultH.Molten salts chemistry. New York (NY): Elsevier; 2013. Chap 3.
36.
Tetrault-FriendMGrayLABerdibekSet al.Optical properties of molten high temperature salts. Sol Energy. 2012;153:238–248.
37.
CoyleCBagliettoEForsbergRC.Advancing radiation heat transfer modeling in high temperature liquid salts. J Nucl Sci Eng. 2020;194:782–792.
38.
ChaleffESBlueTSabharwallP.Radiation heat transfer modeling in molten FLiNaK. J Nucl Technol. 2016;196:53–60.
39.
MikrovasACArgyropoulosSASomervilleID.Measurement of the effective thermal conductivity of liquid slags. ISS Trans. 1992;13:129–137.
40.
PilonLJanosFKitamuraR.Effective thermal conductivity of soda lime glass. J Am Ceram Soc. 2014;97(2):442–450.
41.
PCT Int. Appl. (2014). WO 2014120854 A2 Aug 07, 2014.
42.
QuestedPNMonaghanBJ.Measurement of the thermophysical properties of molten salts and fluxes. High Temp Mater Processes. 2001;20(3-4):219–233.
43.
MillsKCPowellJSBryantJWet al.Thermal properties of slags based on calcium fluoride. Can Met Q. 1981;20(1):93–99.
44.
KodinsevaAOKhoklovVAFilatovES.Thermal conductivity of alkali metal chlorides near the melting point. Izv. Sibirskogo Oteleniya Akad Nauk SSSR. 1990;5:7–10.
45.
SusaMKubotaSHayashiMet al.Thermal conductivity and structure of alkali silicate melts containing fluorides. Ironmak Steelmak. 2001;28(5):390–395.
46.
OzawaSSusaMGotoTet al.Lattice and radiation conductivity for mould fluxes. ISIJ Int. 2006;46(3):413–419.
47.
ChoJWShibataHEmiTet al.Radiative heat transfer through mold flux film during initial solidification in continuous casting of steel. ISIJ Int. 1998;38(3):268–275.
48.
SusaMWatabeMOzawaSet al.Thermal conductivity of CaO–Al2O3–SiO2. Ironmak Steelmak.2007;34:124–133.
49.
GardonR.Review of radiant heat transfer in glass. J Am Ceram Soc. 1961;44(7):305–312.
50.
SusaMMillsKC.Optical properties of slags, slag atlas. Dusseldorf: Verein Deutscher Eisenhuttenleute, publ. Verlag Stahleisen; 1195; Chap.16.
51.
HubertM. IMI-NFG course on processing in glass. Spring 2015 (available online www.lehigh.edu/imi).
52.
JebavaMHrbekLNemecL.Energy distribution and melting efficiency in glass melting channels. J Non-Cryst Solids. 2019;521:119478.
53.
XiqiWViskantaR.Modeling of heat transfer in the melting of a glass batch. J Non-Cryst Solids. 1986;80:613–622.
54.
Ya DzyuzerV.Modeling of heat transfer in the melting of a glass batch. J Glass Ceram. 2009;66(11-12):369–374.
55.
SchillPChmelarJ.Use of CFD in glass technology. J Non-Cryst Solids; 2004, 771–776:345–346.
56.
ViskantaR.Review of 3-dimensional mathematical modeling of glass melting. J Non-Cryst Solids. 1994;177:347–362.
ChoJWEmiTShibataHet al.Heat transfer across mold flux film. ISIJ Int. 1998;38(8):834–842.
59.
StoneDTThomasBW.Measurement and modeling of heat transfer across interfacial mold flux layers. Can Met Q. 1999;38(5):363–375.
60.
HasegawaHHoshinoYKasamotoTet al.Thermal conductivity measurements of synthetic alumina-lime-silica slags. Met Trans B. 2012;43B:1405–1412.
61.
JanzGJ.Molten salts handbook. New York (NY) Academic Press; 1967 p. 184–212.
62.
GriffithsGRGaleRLoveringD.Molten salt spectroscopy. Boston: Springer; 1984, p. 79–135.
63.
HottelHSarofinA.Radiative transfer. McGraw Hill New York; 1967, p. 326.
64.
MatsushitaTWatanabeTHayashiMet al.Thermal, optical and surface properties of molten slags. Int Mater Rev. 2011;56(5/6):287–323.
65.
GolyshevVDGonikMA.Experimental study of heat transfer in high-temperature melts via the radiation-conductance mechanism. Izv Akad Nauk SSSR Seriya Fiz. 1988;52(10):1896–1902.
66.
BoulosENGlebovLBSmirnovaTV.Absorption of iron and water in glass, 1 ferrous spectra in the IR region. J Non-Crystalline Solids. 1997;221:213–221.
67.
BaconGMitchellANishizakiRM.Electroslag remelting with all-fluoride low conductivity slags. Met Trans B. 1972;3:631–635.
68.
TaylorRMillsKC.Thermal conductivity of slags used in ESR. Arch fur Eisenhuttenwesen. 1981;52:55–63.
69.
FaberA-JRongenMLamkhorstAet al.Characterisation of high temperature optical spectra of glass melts. J Appl Glass Sci. 2020;11:442–462.
70.
OhtaHWatanabeKNakajimaKet al.Absorption coefficients for continuous casting powder for steel. J High Temp Mater Process. 1993;12(3):139–143.
71.
KelkarKMO’ConnellCJet al.A model of the ESR process. In: OttE, editor. Proc 2018 Conference on Alloy 718 and Derivatives; 2018; Pittsburgh: Springer; 2018; p. 32–46.
