Question
The figure shows a pouring arrangement for casting of a metal block. Frictional losses are negligible. The acceleration due to gravity is 9.81 m/s². The time (in s, round off to two decimal places) to fill up the mold cavity (of size 40 cm x 30 cm x 15 cm) is
Answer :
28.92 s
Volume of mould cavity = 40•30•15 cm³ = 18000cm³
Apply Bernoulli’s equation at point 1 and 3
Patm/ρg + V12/2g + z1 = Patm/ρg + V32 /2g + 0
Assume V1 = 0
V3 = √(2gz1) = √(2•981•20) = 198.09 cm/s
Mould filling time (tf ) = Volume/V2A2 = 18000•4 /(198.09•π•2²) = 28.92s
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