CQuestion Weight: $0\mathrm{.}2>$Use the Graphical User Interface $($GUI$)$

CIV$2263\_$A$6$Q$5,33456747,$GuTh.hml

to enter your results. Enoer only wambers in the GUI, no characters or symbols.

Waner flows from a reservoir into a pressurized tank as showe in Pigure $6\mathrm{.}9.$ The gas at

the top of the tark is under a peessure of $39036N{m}^{-2}.$ The connection of the pipe is well

rounded $($thus losses at the entrance of the pipe are negligible$).$ The flow rate is measured

using a circular crifice ce cee side of the tank. With the given data, determine the diameter

of the pupe that is sufficient to coevey the flow and the water level of the reservoir upstream.

The viriables are:

$*l=4\mathrm{.}8m.$

$L=46m.$

$+d=0\mathrm{.}11m$

$=0\mathrm{.}25m$

$v=1\mathrm{.}1$:${11}^{-6}{m}^2{s}^{-1}$

$+i=0\mathrm{.}0021m$

$+c_c=0\mathrm{.}56$

$+{}_{\text{i}\text{s}\text{x}}=7701N{m}^{-2}$

Futher, of the dree schematics shown in Figure $6\mathrm{.}10,$ wich is realistic $($the top, the middle or

the bottomy?

Hint: First, calculate $Q$ using the orifice equation $($notice that the water in the tank is under

presoure $.$ Calculate $S_L$ using the measurement of the manometer. Write the formula of

Res and $f$ as a function of the flowrate. You will see that without both the diameter and

$f$ you cannot directly use the Colebrook$-$White equation $($or the Moody diagram$).$ Guess a

value for $f($for example $0\mathrm{.}02),$ calkulate $D$ using this value, calculate $R$ e and $lo\frac{n}{D}$ with the

calculated value and use the Colebrook. White formula to recalculate $f.$ If the value of $f$ that

you otained is largely different from what you guessed, repeat the procedure starting with

the new value of $f$ that you have calculated with the formula of Colebroak$-$White. Use the

energy balance to determine the water level upstream.