I am trying to solve for Reynolds number in a problem. However, I do not have the velocity of the water which flows through the pipe. Am I supposed to make up a number for the flow speed of the liquid inside the pipe or is this a mistake in the problem itself?
The pipe dimensions are given to me (its diameter, vertical and horizontal length), I have acquired the K-values ($\zeta$) for the 90° elbow, the inlet, and the outlet of the pipe and for both the gate valves in which the liquid flows through.
To make it easier, the velocity at point 1 is negligible, as small as $c_1 ≈ 0 \frac ms $, $c_1$ being the velocity at the point which is on the free surface (which is on a water tank). Still, I do not know how to get the flow speed of the liquid.
I managed to get the relative pipe roughness, as well, but it's not very handy as I don't have the Reynolds number which is required of me to solve my problem.
If you are wondering, I need the Reynolds number so I can get my friction number and to solve the pressure drop between the two points of 1 & 2, and also the velocity of point 2 which is on the exit of the pipe.
I can provide with image of the system if interested.