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

Answer:

Time for solidification of the casting is 186 sec.

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:

$V=\frac{\pi}{4}d^{2}t$

$V=\frac{\pi}{4}({650})^{2}\times({16})$

V= 5309291.585 mm³.

Step3

Total surface area of the disk is calculated as follows:

$A=\pi dt+2\times (\frac{\pi }{4}d^{2})$

$A=\pi \times 650\times 16+2\times (\frac{\pi }{4}\times 650^{2})$

A= 696334.0117 mm².

Step4

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

$t=K(\frac{V}{A})^{2}$

$t=K(\frac{5309291.585}{696334.0117})^{2}$

$t=3.2(\frac{5309291.585}{696334.0117})^{2}$

t=186 sec.

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