b) A sand casting process is to be performed using a certain alloy to produce a cube shaped casting with dimensions of 50 mm on each side. The molten metal is poured into the pouring cup of a sand mold at a steady rate of 1000 cm/s. The molten metal overflows the pouring cup and flows into the downsprue which has a height of 25 cm. The cross-section of the sprue is round, with a diameter at the top being 3.4 cm. The casting took 180 s to solidify. Determine: (i) the proper diameter at its base so as to maintain the same volume flow rate.

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Chapter6: Forced Convection Over Exterior Surfaces
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Manufacturing Processes.

(b) A sand casting process is to be performed using a certain alloy to produce a cube
shaped casting with dimensions of 50 mm on each side. The molten metal is poured
into the pouring cup of a sand mold at a steady rate of 1000 cm/s. The molten metal
overflows the pouring cup and flows into the downsprue which has a height of 25
cm. The cross-section of the sprue is round, with a diameter at the top being 3.4 cm.
The casting took 180 s to solidify. Determine:
(i) the proper diameter at its base so as to maintain the same volume flow rate.
(ii) the value of the mold constant using Chvorinov's Rule.
Transcribed Image Text:(b) A sand casting process is to be performed using a certain alloy to produce a cube shaped casting with dimensions of 50 mm on each side. The molten metal is poured into the pouring cup of a sand mold at a steady rate of 1000 cm/s. The molten metal overflows the pouring cup and flows into the downsprue which has a height of 25 cm. The cross-section of the sprue is round, with a diameter at the top being 3.4 cm. The casting took 180 s to solidify. Determine: (i) the proper diameter at its base so as to maintain the same volume flow rate. (ii) the value of the mold constant using Chvorinov's Rule.
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