Question 1;
This is the desired expression for the elevation difference between a point at the free surface and the initial height h of the fluid.
Question 2;
Now we will calculate the required flow rate in the model.
Question 3;
Therefore, the minimum time to fill the glass under laminar flow at 50 °F is approximately 1923.08 seconds.
These are the manual calculations to find the minimum time to fill the glass under laminar flow conditions for water at temperatures of 50 °F and 140 °F.
Question 4;
Question 5;
Question 6;
Question 7:
Therefore, the tangential velocity component at exit (��2V2) is approximately 80.56 ft/s, the ideal head rise (ℎ��hi) is approximately 166.08 ft, and the power transferred to the fluid (Wshatt) is approximately 306.7 hp.
Question 8
Here is how you can calculate the maximum height (h_max) that the pump can be located above the water surface without cavitation.
References
Anderson, D., Tannehill, J. C., Pletcher, R. H., Munipalli, R., & Shankar, V. (2020). Computational fluid mechanics and heat transfer. CRC press. Available at: https://doi.org/10.1201/9781351124027
Brunton, S. L., Noack, B. R., & Koumoutsakos, P. (2020). Machine learning for fluid mechanics. Annual review of fluid mechanics, 52, 477-508. Available: https://doi.org/10.1146/annurev-fluid-010719-060214
Elger, D. F., LeBret, B. A., Crowe, C. T., & Roberson, J. A. (2020). Engineering fluid mechanics. John Wiley & Sons.
Garnier, P., Viquerat, J., Rabault, J., Larcher, A., Kuhnle, A., & Hachem, E. (2021). A review on deep reinforcement learning for fluid mechanics. Computers & Fluids, 225, 104973. Available: https://doi.org/10.1016/j.compfluid.2021.104973
Gerhart, A. L., Hochstein, J. I., & Gerhart, P. M. (2020). Munson, Young and Okiishi’s fundamentals of fluid mechanics. John Wiley & Sons.
