The formula to calculate the Bottom Gating Pouring Time is:
\[ Tbg = \frac{Aratio}{\sqrt{2 \cdot ac}} \cdot 2 \cdot (\sqrt{l} - \sqrt{l - hc}) \]
Bottom gating pouring time is the time for liquid metal to fill the mold from bottom to top, thus avoiding the splashing and oxidation associated with vertical gating.
Let's assume the following values:
Using the formula:
\[ Tbg = \frac{5.24}{\sqrt{2 \cdot 12.56}} \cdot 2 \cdot (\sqrt{6} - \sqrt{6 - 0.01}) = 0.00426999054621799 \text{ s} \]
| Ratio of Area (Aratio) | Acceleration (ac) | Length of Cylinder (l) | Height of Capillary Rise/Fall (hc) | Bottom Gating Pouring Time (Tbg) |
|---|---|---|---|---|
| 5 | 12.56 m/s² | 6 m | 0.01 m | 0.004074418460 s |
| 5.1 | 12.56 m/s² | 6 m | 0.01 m | 0.004155906829 s |
| 5.2 | 12.56 m/s² | 6 m | 0.01 m | 0.004237395199 s |
| 5.3 | 12.56 m/s² | 6 m | 0.01 m | 0.004318883568 s |
| 5.4 | 12.56 m/s² | 6 m | 0.01 m | 0.004400371937 s |
| 5.5 | 12.56 m/s² | 6 m | 0.01 m | 0.004481860306 s |