Mold Constant Calculator

Density of the metal ρ_m:

Latent heat of fusion (L):

Melting or freezing temperature of liquid (T_m):

Initial temperature of the mold (T₀):

Thermal conductivity of the mold (k):

Density of the mold (ρ):

Specific heat of the mold (c):

Specific heat of the metal (c_m):

Superheat (Δ T_s):

How This Is Calculated

$$ B = \left( \frac{{\rho}_m L}{T_m-T_0} \right)^2 \left( \frac{\pi}{4 k \rho c} \right) \left( 1 + \left(\frac{c_m \Delta T_s}{L} \right)^2 \right) $$ where:

B = Mold constant (s/m²)

ρ_m = Density of the metal (kg/m³)

L = Latent heat of fusion (J/kg)

T_m = Melting or freezing temperature of liquid (K)

T₀ = Initial temperature of the mold (K)

k = Thermal conductivity of the mold (W/mK)

ρ = Density of the mold (kg/m³)

c = Specific heat of the mold (J/kgK)

c_m = Specific heat of the metal (J/kgK)

Δ T_s = Superheat = T_pour - T_m (K)

Assumptions

Heat transfer is one-dimensional and steady-sate.
The material properties are homogeneous.
Solidification process has a sharp solidification front..
The molten metal has a uniform initial temeprature.

Related Calculators

Energy Density

Shrinkage Allowance

Solidification Time

Flow Stress

Springback Factor