GATE 2020 ME (ME2) – Question 52

Casting, Forming and Joining Processes · Casting: patterns, moulds, cores, solidification, riser and gating design, defects · 2 marks · Numerical answer

A 1200 cm³ mould cavity fills through a 10 cm long sprue feeding a horizontal runner. Sprue base area is 2 cm². For g = 9.81 m/s² and negligible molten-metal friction losses, find filling time (s), to two decimals.

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Correct answer: 4 to 9

Explanation

Torricelli velocity at the base is $\sqrt{2gH}=\sqrt{2(9.81)(0.1)}=1.400714$ m/s. Flow is0.0002×1.400714=0.000280143 m³/s. Volume is0.0012 m³, so t=V/Q=**4.28 s**. This ideal estimate assumes the stated head is maintained.