GATE ME 2024 Set 1 — Question 61
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Manufacturing Processes → Casting → Solidification & Chvorinov's Rule
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Question
Aluminium is casted in a cube-shaped mold having dimensions as . Another mold of the same mold material is used to cast a sphere of aluminium having a diameter of . The pouring temperature for both cases is the same. The ratio of the solidification times of the cube-shaped mold to the spherical mold is ________ (answer in integer).
Correct answer
1 to 1
Solution
According to Chvorinov's rule, the solidification time is given by:where is the volume and is the surface area of the casting.For the cube-shaped mold with side :For the spherical mold with diameter :Since the mold material and pouring temperature are the same, the mold constant is identical for both. The ratio of solidification times is:The ratio is 1.
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