The formula to calculate the Nusselt Number (Nu) is:
\[ Nu = \frac{\left(\frac{f_{Darcy}}{8}\right) \cdot (Re - 1000) \cdot Pr}{1 + 12.7 \cdot \left(\left(\frac{f_{Darcy}}{8}\right)^{0.5}\right) \cdot \left(Pr^{\frac{2}{3}} - 1\right)} \]
The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion.
Let's assume the following values:
Using the formula:
\[ Nu = \frac{\left(\frac{0.04}{8}\right) \cdot (5000 - 1000) \cdot 0.7}{1 + 12.7 \cdot \left(\left(\frac{0.04}{8}\right)^{0.5}\right) \cdot \left(0.7^{\frac{2}{3}} - 1\right)} \approx 17.2849322852078 \]
The Nusselt Number is approximately 17.2849322852078.
| Darcy Friction Factor | Nusselt Number |
|---|---|
| 0.03 | 12.568598604681604 |
| 0.032 | 13.493688345385220 |
| 0.034 | 14.427980704373068 |
| 0.036 | 15.371354888060036 |
| 0.038 | 16.323703814518037 |
| 0.04 | 17.284932285207798 |
| 0.042 | 18.254955484455316 |
| 0.044 | 19.233697735074252 |
| 0.046 | 20.221091456752802 |
| 0.048 | 21.217076286806975 |