Question $1$: Give the Model Theory with $3$ different model simulation forrmulas with detailed Froude and Reynolds Simulation formulas.

Question $2$: Substitute the total head loss formula using Bernoulli Equation for pipe flow.

Question $3$: Give the local head losses for a pipe flow.

Question $4$: In a prototype of a weir the discharge $Q=120m^{\frac{3}{s}}$ is measured where the flow over the weir will be investigated.

a$)$ In a model scale of $\frac{1}{30},$ find the model discharge.

b$)$ In the same model it will be measured the velocity as $v=5\frac{m}{s}.$ Give the simulated velocity value at the prototype. discharge of $Q=0\mathrm{.}02\frac{m^3}{s}.$ Find the water depth at the reservoir neglecting the local head losses in the reservoir.

A

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