The formula to calculate the Sphericity of a Cylindrical Particle is:
\[ \Phi_{\text{cylindrical particle}} = \frac{((R^2 \cdot H \cdot \frac{3}{4})^{\frac{1}{3}})^2 \cdot 4\pi}{2\pi R (R + H)} \]
Sphericity of a Cylindrical Particle is a measure of how closely the shape of an object resembles that of a perfect sphere. Cylinder Radius is the radius of its base. Cylinder Height is the shortest distance between the two bases of a cylinder.
Let's assume the following values:
Using the formula:
\[ \Phi_{\text{cylindrical particle}} = \frac{((0.025^2 \cdot 0.11 \cdot \frac{3}{4})^{\frac{1}{3}})^2 \cdot 4\pi}{2\pi \cdot 0.025 \cdot (0.025 + 0.11)} \approx 0.820941472039316 \]
The Sphericity of the Cylindrical Particle is approximately 0.820941472039316.
| Cylinder Radius (meters) | Sphericity |
|---|---|
| 0.02 | 0.791405882930906 |
| 0.021 | 0.798241735133328 |
| 0.022 | 0.804574487171359 |
| 0.023 | 0.810445096710438 |
| 0.024 | 0.815889937430951 |
| 0.025 | 0.820941472039316 |
| 0.026 | 0.825628803468034 |
| 0.027 | 0.829978130190831 |
| 0.028 | 0.834013125299174 |
| 0.029 | 0.837755254398345 |