Abstract
Secondary cooling information is critical when modeling the direct-chill (DC) casting process of magnesium alloys. However, accurate data for the heat flux in the secondary cooling zone are scarce, and most reported research is concerned with the DC casting of aluminum alloys. Cooling experiments that simulated the secondary cooling of magnesium AZ31 were conducted in order to observe the influence of various parameters on the different boiling-water heat-transfer phenomena. The heat flux in each boiling regime was quantified as a function of the cooling-water flow rate, water temperature, and initial sample temperature. Equations developed from the cooling experiments could be combined to build “idealized” boiling curves for a given set of DC casting conditions.
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Abbreviations
- C f :
-
coefficient in Rohsenow’s NPB model (—)
- C p :
-
specific heat (J kg−1 K−1)
- D :
-
billet diameter (m)
- d IZ :
-
distance from water-jet IZ (mm)
- Fo:
-
Fourier number (—)
- g :
-
gravitational acceleration (m s−2)
- h :
-
heat-transfer coefficient (W m−2 K−1)
- i fg :
-
latent heat of evaporation (J kg−1)
- k :
-
thermal conductivity (W m−1 K−1)
- Q :
-
volumetric cooling-water flow rate (m3 s−1)
- Q′:
-
volumetric cooling-water flow rate per unit of perimeter (L min−1 m−1)
- r :
-
exponent in Rohsenow’s NPB model (—)
- T 0 :
-
initial temperature (°C)
- T f :
-
water bulk temperature (°C)
- T LPt :
-
Leidenfrost point temperature (°C)
- T ONB :
-
onset of NB temperature (°C)
- T s :
-
surface temperature (°C)
- T sat :
-
water saturation temperature (°C)
- T wet :
-
rewetting temperature (°C)
- t :
-
time (s)
- v c :
-
sample moving speed (mm s−1)
- v f :
-
water-jet velocity (m s−1)
- x :
-
sample thickness dimension (m)
- z :
-
sample height dimension (m)
- Δt :
-
time-step length (s)
- ε th :
-
thermal effusivity (J m−2 K−1 s−0.5)
- Φ:
-
heat flux (W m−2)
- μ f :
-
water viscosity (kg m−1 s−1)
- θ f :
-
water-jet-impingement angle (deg)
- ρ :
-
density (kg m−3)
- σ fg :
-
surface tension at the water/steam interface (N m−1)
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Manuscript submitted November 5, 2008.
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Caron, E., Wells, M. Secondary Cooling in the Direct-Chill Casting of Magnesium Alloy AZ31. Metall Mater Trans B 40, 585–595 (2009). https://doi.org/10.1007/s11663-009-9254-y
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DOI: https://doi.org/10.1007/s11663-009-9254-y