GATE ME 2018 Set 2 — Question 60
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Manufacturing Processes → Casting → Riser & Gating Design
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Question
For sand-casting a steel rectangular plate with dimensions 80 mm × 120 mm × 20 mm, a cylindrical riser has to be designed. The height of the riser is equal to its diameter. The total solidification time for the casting is 2 minutes. In Chvorinov’s law for the estimation of the total solidification time, exponent is to be taken as 2. For a solidification time of 3 minutes in the riser, the diameter (in mm) of the riser is __________ (correct to two decimal places).
Correct answer
42 to 52
Solution
According to Chvorinov's Law:
For the rectangular plate (casting):
For the cylindrical riser ():
If we assume no insulation (heat loss from all surfaces):
Given :
If the top is insulated, , which gives . Both values fall within the accepted range [42, 52].
For the rectangular plate (casting):
For the cylindrical riser ():
If we assume no insulation (heat loss from all surfaces):
Given :
If the top is insulated, , which gives . Both values fall within the accepted range [42, 52].
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