GATE ME 2021 Set 2 — Question 47
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Manufacturing Processes → Casting → Solidification & Chvorinov's Rule
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Question
A cast product of a particular material has dimensions . The total solidification time for the cast product is found to be minutes as calculated using Chvorinov's rule having the index, . If under the identical casting conditions, the cast product shape is changed to a cylinder having diameter and height , the total solidification time will be ________ minutes (round off to two decimal places).
Correct answer
2.6 to 3
Solution
According to Chvorinov's rule, solidification time is given by:where is volume, is surface area, is mold constant, and is index (given ).For the rectangular block:
For the cylindrical product:
Rounding off to two decimal places, we get .
For the cylindrical product:
Rounding off to two decimal places, we get .
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