Abstract
The influence of mold length and mold heat transfer on the conventional hot-top D.C. continuous casting process was studied through numerical simulations and experiments with horizontally cast 20 mm diameter lead and zinc rods. The minimum casting speed was found to be a nonlinear function of the mold length. For short molds, an inverse relationship between mold length and minimum casting speed was observed. However, the minimum casting speed for zinc cast from molds longer than 12 mm was constant at 2.5 mm/s. For lead cast in molds longer than 12 mm, the minimum observed casting speed was constant at 4.0 mm/s. The observed nonlinear relationship between minimum casting speed and mold length was predicted using a numerical model of the process. For this, an analytical expression for the mold boundary conditions was derived which included the influence of gas gap formation between the rod and the mold due to thermoelastic deformations of both the rod and the mold. Correlation between observed and predicted behavior was demonstrated for both the lead and zinc rods. Maximum casting speed was observed to increase with increased mold length; however, this speed was found to be critically dependent on process attributes such as mold and pinch wheel alignment and mold lubrication.
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Abbreviations
- c p :
-
specific heat (kJ/kg · K)
- e :
-
mold thickness (m)g total gap between the rod and mold (m)
- g gas :
-
thickness of gas filled gap between the rod and mold (m)
- h :
-
convective heat transfer coefficient (W/m2 · K)
- h cw :
-
effective heat transfer coefficient between the primary cooling water and the mold (W/m2 · K)
- h eff :
-
total effective heat transfer coefficient between the rod and mold (W/m2 · K)
- h of :
-
effective heat transfer coefficient between the gas gap and the oil covered mold surface (W/m2 · K)
- h oil :
-
effective heat transfer coefficient between the rod and the oil covered mold surface (W/m2 · K)
- h w :
-
effective heat transfer coefficient between the primary cooling water and the mold (W/m2 · K)
- k :
-
thermal conductivity (W/m · K)
- k gas :
-
thermal conductivity of the gas within the moldrod gap (W/m · K)
- k l :
-
thermal conductivity of the liquid metal (W/m · K)
- k m :
-
thermal conductivity of the mold (W/m · K)
- k s :
-
thermal conductivity of the solid metal (W/m · K)
- n r, ny :
-
direction cosines of the outward normal to the surface
- Q :
-
heat flow per unit length of mold (W/m)
- r :
-
radial coordinate (m)
- R :
-
radius of the rod (m)
- R m :
-
outside radius of the mold (m)
- T :
-
temperature (K)
- T ave :
-
average shell temperature of the rod (K)
- T cl :
-
rod center line temperature (K)
- T cw :
-
cooling water temperature (K)
- T m :
-
mold outer diameter temperature (K)
- T mp :
-
metal melting temperature (K)
- T oil :
-
mold dressing surface temperature (K)
- T r :
-
rod surface temperature (K)
- T w :
-
mold bore temperature (K)
- V c :
-
casting speed (m/s)
- V min :
-
minimum casting speed (m/s)
- Y oil :
-
total length of oil film on the mold surface (m)
- y :
-
axial coordinate (m)
- y max :
-
maximum axial dimension of the modeled rod (m)
- α :
-
thermal expansion coefficient (K-1)
- ρ :
-
density (kg/m3)
- v :
-
Poisson’s ratio
- Δ H f :
-
latent heat of fusion (kJ/kg)
- Δ T(r) :
-
temperature change at radial positionr (K)
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Formerly Research Assistant, University of Waterloo
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Verwijs, J.P., Weckman, D.C. Influence of mold length and mold heat transfer on horizontal continuous casting of nonferrous alloy rods. Metall Trans B 19, 201–212 (1988). https://doi.org/10.1007/BF02654204
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DOI: https://doi.org/10.1007/BF02654204