QUESTION $6$

A pipe joins two reservoirs with a static head difference of $10m.$ The pipe has a internal diameter of $0\mathrm{.}2m$ and a length of $1000m.$ The frictional coefficient of the pipe is $0\mathrm{.}008$ Darcy. See figure $6.($Ignore all minor losses$)$

Figure $6$

$6\mathrm{.}1.$ Calculate the flow rate in the original pipe without the parallel pipe. $Q=34,6\frac{l}{s}$

$6\mathrm{.}2.$ It is determined that a greater flow rate of $30\%$ is required to the lower reservoir. To achieve this, a second pipe with the same diameter and friction coefficient is fixed in parallel to the original pipe. Calculate the length of the new pipe. $(12)L1=455,6m$ and $L2=544,4m$

Ignoring the parallel pipe for this section. The pipe has a wall thickness of $12mm$ and transports water at $20C.$ The pipe has a modulus of elasticity of $210$ GPa. A gate valve is installed in the original pipe to control the discharge. If the original flow rate required in $(6\mathrm{.}1)$ is used. Calculate:

$6\mathrm{.}3$ If the closure of the valve in $1sec$ will cause water hammer and the rise in pressure due to it$.$

$1,485$ MPa

$(8)$

$6\mathrm{.}4$ The stresses due to the pressure in the pipe.

$7$ MPa and $1,4$MPa

$[29]$