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:
[tex]V=\frac{\pi}{4}d^{2}t[/tex]
[tex]V=\frac{\pi}{4}({650})^{2}\times({16})[/tex]
V= 5309291.585 mm³.
Step3
Total surface area of the disk is calculated as follows:
[tex]A=\pi dt+2\times (\frac{\pi }{4}d^{2})[/tex]
[tex]A=\pi \times 650\times 16+2\times (\frac{\pi }{4}\times 650^{2})[/tex]
A= 696334.0117 mm².
Step4
Chvorinov's rule for time calculation is expressed as follows:
[tex]t=K(\frac{V}{A})^{2}[/tex]
[tex]t=K(\frac{5309291.585}{696334.0117})^{2}[/tex]
[tex]t=3.2(\frac{5309291.585}{696334.0117})^{2}[/tex]
t=186 sec.
Thus, the time for solidification of the casting is 186 sec.
