When casting low carbon steel under certain mold conditions

When casting low carbon steel under certain mold conditions, the mold constant in Chvorinov\'s rule = 4.0 min/cm^2. Determine how long solidification will take for a rectangular casting whose length = 30 cm, width = 15 cm, and thickness = 20 mm.

Solution

T = C_m(V/A)ⁿ

T = Total solidification time in min.

C_m= modual constant (min/cm²) = 4.0 min./cm²

V= volume of the casting in cm³ A= surface area of the casting in cm²

n= exponent taken to have a value = 2

here V=30*15*2 = 9,00 cm³ and A = 2*(30*15+15*2+2*30) = 1080 cm²

So, T= 4*(900/1080)² = 2.77 min.