Cylindrical Reservoir Discharge(Fluid Mechanics Lab)

[Arentius]

1. This is about a lab, we measured times of partial discharge(each 100 ml), and the height from the base to the interface, from a cylindrical reservoir, through a little hole near the base. We must now calculate the theoretical times to compare with the ones measured experimentally, and the coefficient of minor head losses through the hole



2. By Torricelli Theorem t=D/d*sqrt(2H/g) and k= (pi^2 * d^4 * h * g ) / (8Q^2) -1



3. I believe I can easily calculate the K knowing the flow rate, am I correct? Now my concern is about the theoretical discharge time, Torriceli Theorem is derivated from the original Bernoulli's Equation, therefore considering an inviscid fluid, which is not that acceptable,is there any other semi-empirical formula that can help me? Thanks

 

[KataKoniK]

Hello,

Thank you for sharing your experiment and question with us. It seems like you have already made some progress in calculating the coefficient of minor head losses through the hole using the Torricelli Theorem. However, you are correct in noting that this theorem assumes an inviscid fluid, which may not be the case in your experiment.

There are a few other semi-empirical formulas that you can use to calculate the theoretical discharge time, such as the Darcy-Weisbach equation or the Hazen-Williams equation. These equations take into account the frictional losses in the fluid and can provide a more accurate result. You can also consider using computational fluid dynamics software to simulate and calculate the discharge time.

In addition, it may be helpful to compare your experimental results with those from other similar experiments or studies to see if they align with your findings. This can give you a better understanding of the expected discharge time and help validate your results.

I hope this helps and good luck with your calculations!