Question

11) (10 points) A large valve is to be used to control water supply in large conduits. Model tests are to be done to determine how the valve will operate. Both the model and prototype will use water as the fluid. The model will be 1/6 scale (the modeled valve will be 1/6 the size of the prototype valve). If the prototype flow rate is to be 700 ft3 /s, determine the model flow rate. Use Reynolds scaling for the velocity.

Answer 1

7.94 ft^3/ s.

Step-by-step explanation:

So, we are given that the '''model will be 1/6 scale (the modeled valve will be 1/6 the size of the prototype valve)'' and the prototype flow rate is to be 700 ft3 /s. Then, we are asked to look for or calculate or determine the value for the model flow rate.

Note that we are to use Reynolds scaling for the velocity as par the instruction from the question above.

Therefore; kp/ks = 1/6.

Hs= 700 ft3 /s and the formula for the Reynolds scaling => Hp/Hs = (kp/ks)^2.5.

Reynolds scaling==> Hp/ 700 = (1/6)^2.5.

= 7.94 ft^3/ s