Question
Download Solution PDFIn a sand casting process, a sprue of 10 mm base diameter and 200 mm height leads to a runner which fills a cubical cavity of 100 mm side. What will be the volume flow rate of metal? [Acceleration due to gravity = 10 m/s2, π = 3.14]
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The volume flow rate of metal in a sand casting process can be determined using Torricelli’s theorem, which states that the velocity of fluid flow under gravity is:
The volume flow rate Q is given by:
where:
- A = Cross-sectional area of the sprue
- v = Velocity of the molten metal
Given:
- Diameter of sprue base: d = 10 mm
- Height of sprue: h = 200 mm
- Acceleration due to gravity: g = 10 m/s²
- π = 3.14
Calculation:
Step 1: Compute velocity using Torricelli’s theorem
Step 2: Compute cross-sectional area of the sprue
Step 3: Compute volume flow rate
Converting to mm³/s:
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