QUESTION ONE $[34$ Marks$]$

The above diagram shows a two loop water distribution network $($WDN$)$ of a town. The pipe lengths are shown in the diagram, the units being metres. The diameter of all pipes is $300mm.$ All pipes have a Hazen Williams constant of $120.$ All nodes in the WDN are at the same elevation above datum. The base demands at the nodes are in litres per second. An initial guess of the directions of flow is indicated on the diagram.

$($a$)($i$)$ Write down your national identity$($ID$)$ number. $($ii$)$ Use the first two numbers of your ID number as the first guess estimate of the flow in the pipe $AB.$ Provide the guess estimates of flows in the rest of the pipes for the purpose of performing a Hardy Cross Procedure$($HCP$).[10$ Marks$]$

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$($a$)$ Perform two$(2)$ iterations of the HCP using:first

The first of the $3$ formulae below if the last number in your ID is between $0$ and $3$

The second of the $3$ formulae below if the last number in your ID is between $4$ and $6.$

The third of the $3$ formulae below if the last number in your ID is between $7$ and $9$

The $3$ formulae are:

Note: Organize your computational tables to show the following parameters:

Diagram of the WDN

Loop Id

Pipe Id

Pipe diameter

Pipe length

Pipe resistance factor

Head loss

Delta Q

Flow correction

Percentage error

The Hazen Williams Formula:

$\frac{H_L}{L}=\frac{10\mathrm{.}67Q^{1\mathrm{.}852}}{C^{1\mathrm{.}852}{D}^{4\mathrm{.}8704}}$

$[24$ Marks$]$