GATE Mechanical Engineering (ME) 2018 Shift 2 Solved Paper

Question : 65 of 65

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For sand-casting a steel rectangular plate with dimensions 80mm 120mm 20mm,   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).

Your Answer:

Validate

Solution:

t=k(\;{V}/{S A})^{2}

2=k(\;{0.08 × 0.12 × 0.02}/{2(0.08 × 0.12+0.12 × 0.02+0.02 × 0.08})^{2}

k=40138.88

3=40138.88(\;{D}/{6})^{2}

D=51.87 {mm}

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