Question

A disk shaped part is cast out of aluminum. Diameter of the disk = 650 mm and thickness = 16 mm. If the mold constant = 3.2 sec/mm2 in Chvorinov's rule, how long will it take the casting to solidify

Answer 1

Time for solidification of the casting is 186 sec.

Step-by-step explanation:

Chvorinov's rule is used to find the solidification time for any casting shape.

Step1

Given:

Diameter of the disk is 650 mm.

Thickness of the disk is 16 mm.

Chvorinov's rule constant is 3.2 sec/mm².

Step2

Calculation:

Total volume of the disk is calculated as follows:

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

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

V= 5309291.585 mm³.

Step3

Total surface area of the disk is calculated as follows:

`A=\pi dt+2* ((\pi )/(4)d^(2))`

`A=\pi * 650* 16+2* ((\pi )/(4)* 650^(2))`

A= 696334.0117 mm².

Step4

Chvorinov's rule for time calculation is expressed as follows:

`t=K((V)/(A))^(2)`

`t=K((5309291.585)/(696334.0117))^(2)`

`t=3.2((5309291.585)/(696334.0117))^(2)`

t=186 sec.

Thus, the time for solidification of the casting is 186 sec.