A pipe network as shown in the image is used to provide water to three houses built on

sloped land. To ensure sufficient water flow for simultaneous water consumptions and

pressure drop in the mainline, a reservoir is added to the pipe network. Pipe lengths and

junction heights are shown in the image. All pipes have a diameter of $40$ mm and roughness

of $0\mathrm{.}04$ mm$.$

If each house gets the peak of $0\mathrm{.}2$ m$3$

$/$min flow rate from the network $($Qo$1=$ Qo$2=$ Qo$3=0\mathrm{.}2$

m$3$

$/$min$)$ at the minimum mainline pressure is $220$ kPa, determine how much of the water

consumption of these three houses comes from reservoir and how much comes from

mainline pipeline. Determine the flow head and pressure $($ignoring the velocity term$)$ at

each exit flow node.

Assume there is no pressure drop within the mainline pipe and ignore all minor loss

elements. As an initial estimate a friction factor of f $=0\mathrm{.}02$ may be considered for all pipes. A pipe network as shown in the image is used to provide water to three houses built on

sloped land. To ensure sufficient water flow for simultaneous water consumptions and

pressure drop in the mainline, a reservoir is added to the pipe network. Pipe lengths and

junction heights are shown in the image. All pipes have a diameter of $40mm$ and roughness

of $0\mathrm{.}04mm.$

If each house gets the peak of $0\mathrm{.}2\frac{m^3}{m}in$ flow rate from the network

$\{$:$\frac{m^3}{m}in)$ at the minimum mainline pressure is $220$kPa, determine how much of the water

consumption of these three houses comes from reservoir and how much comes from

mainline pipeline. Determine the flow head and pressure $($ignoring the velocity term$)$ at

each exit flow node.

Assume there is no pressure drop within the mainline pipe and ignore all minor loss

elements. As an initial estimate a friction factor of $f=0\mathrm{.}02$ may be considered for all pipes.

Assume $=1000k\frac{g}{m^3},=1\mathrm{.}1{10}^{-3}Pa.s,g=9\mathrm{.}8\frac{m}{s^2}.$