Question

A disk-shaped part is cast out of aluminum. The diameter of the disk = 650 mm and thickness = 16 mm. If the mold constant = 2.2 sec/mm2 in Chvorinov's rule, how long will it take the casting to solidify?

Answer 1

To develop the problem it is necessary to apply the concepts of Volume calculation, area calculation and the solidification time.

The solidification time equation is given by

`TST = C_m ((V)/(A))^n`

Where,

TST = Total solidification time

V = Volume of the casting

A = Surface area of casting

n = Exponent with typical value=2

`C_m` = Mold constant

We do not have the volume or area, so we proceed to calculate them with the data we have,

Volume,

`V= (\pi D^2t)/(4)`

`V = (\pi (650)^2(16))/(4)`

`V = 5309292mm^3`

Area,

`A= 2\pi (D^2)/(4)+\pi Dt`

`A =(\pi 650^2)/(2)+\pi(650)(16)`

`A = 696334mm^2`

Replacing at the previous equation we have

`TST = C_m ((V)/(A))^n`

`TST = 2.2((5309292)/(696334))^2`

`TST = 127.897s`

`TST = 127.897s((1min)/(60s))`

`TST = 2.13min`

Therefore it will take the casting to solidify around to 2.13min