Statement:

$.($Adapted from Mays Textbook Problem $4\mathrm{.}5\mathrm{.}6).$ Points $1$ and $2$ are at the same elevation, and their difference in water pressure is $30.$ All the pipes in the systems are galvanized iron with roughness $k_s=0\mathrm{.}0005ft.$ The kinematic viscosity $v$ is $1\mathrm{.}06{10}^{-5}f\frac{t}{s}.$ Ignore all local losses.

$$igure $14\mathrm{.}5\mathrm{.}0$

Use this information to evaluate the following:

a$.$ The head loss $h_L($in feet$)$ between points $1$ and $2.$

b$.$ The relative roughness $\frac{k_s}{D}.$

c$.$ The friction factor $f$ for each pipe segment assuming fully turbulent flow.

d$.$ The flow rate $Q($in cfs$)$ in each pipe segment $($based on the assumed friction factors$).$

e$.$ The Reynolds Number $R_e$ and $($using the results from part c$).$

f$.$ The friction factor $f$ for each pipe segment $($using $R_e$ part e and $\frac{k_s}{D}).$

g$.$ The flow rate $Q($in cfs$)$ in each pipe segment $($based on the friction factors from part $f).$

h$.$ Show whether the solution has converged or not $[$Hint: Repeat steps e and $f$ and check whether revised estimates of $f$ are sufficiently closed to those assumed$].$