GATE ME 2014 Set 4 — Question 63
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Manufacturing Processes → Casting → Riser & Gating Design
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Question
A cylindrical riser of diameter and height has to be designed for a sand casting mould for producing a steel rectangular plate casting of dimensions having the total solidification time of . The total solidification time (in minute) of the riser is _______
Correct answer
2.5 to 4.5
Solution
According to Chvorinov's rule, the solidification time is given by:where is the volume and is the surface area of the casting.Step 1: Calculate the modulus () for the rectangular plate.
Modulus of plate Step 2: Calculate the modulus () for the cylindrical riser.
For a cylinder where height equals diameter ():
Assuming a side riser (all surfaces cooling):
Modulus of riser Step 3: Calculate the solidification time for the riser.
Since :Note: If assuming a top riser (one end insulated), , leading to . Both values fall within the accepted range of 2.5 to 4.5.
Modulus of plate Step 2: Calculate the modulus () for the cylindrical riser.
For a cylinder where height equals diameter ():
Assuming a side riser (all surfaces cooling):
Modulus of riser Step 3: Calculate the solidification time for the riser.
Since :Note: If assuming a top riser (one end insulated), , leading to . Both values fall within the accepted range of 2.5 to 4.5.
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