How to calculate flow velocity in bypass duct

[derekteo0710]

I need to design this experimental rig and I am uncertain how to obtain the flow velocity through the orifice and the by pass duct.

Once the pump starts, the water will fill the tank and when the water level almost hit the brim of the tank, the water in the left hand side will flow into the bypass.

The volume flow rate for the pump is 0.0005m^3/s.

What kind of consideration do I need to consider if i want to maintain a constant water level. the diameter of the bypass duct has been assumed as 0.1m for the time being.

Thank you so much for your help!

 

[Navin A S]

In order to maintain a constant water level, you need to make sure that the flow velocity through the orifice is equal to the flow velocity through the bypass duct. To do this, you need to calculate the discharge coefficient of the orifice and the friction coefficient of the bypass duct. This will allow you to determine the required flow rate through the bypass duct that will provide an equal flow velocity as the orifice. The discharge coefficient of the orifice can be calculated using the discharge formula for a sharp-edged orifice with a given diameter, pressure drop, and fluid properties. The friction coefficient of the bypass duct can be calculated using the Darcy-Weisbach equation with given pipe length, diameter, and fluid properties. Once you have calculated the discharge coefficient and friction coefficient, you can then use the Bernoulli equation to calculate the flow velocity through the orifice and bypass duct.