Elevation Head $($Z$)$ Calculation:

Point A: Elevation $=180$ m AHD

Point B: Elevation $=180+$ N $=180+17\mathrm{.}75=197\mathrm{.}75$ m AHD

Point C: Elevation $=180+7$N $=180+7(17\mathrm{.}75)=304\mathrm{.}25$ m AHD

Point D: Elevation $=180+3$N $=180+3(17\mathrm{.}75)=233\mathrm{.}25$ m AHD

Point E: Elevation $=180+$ N $=180+17\mathrm{.}75=197\mathrm{.}75$ m AHD

Flow Rate $($Q$)$:

Annual discharge: $3\mathrm{.}25$ GL$/$year $=3,250,000,000$ L$/$year

Flow rate $($Q$)$: $101\mathrm{.}47$ L$/$s Given the elevation data and the required head for pumping, plot the EGL and HGL from points A to E$.$

Points and Corresponding Heads:

A to B:

Elevation head difference: $17\mathrm{.}75$ m

Frictional head loss: Calculated based on pipe length and diameter.

Pump head: Selected based on required flow rate and head.

B to C:

Elevation head difference: $106\mathrm{.}5$ m

Frictional head loss: Calculated similarly.

Pump head: Selected to overcome the total head $($including elevation and friction$).$

C to D:

Elevation head difference: $-71$ m $($downhill$)$

Turbine head loss: Calculated based on flow through the penstock.

D to E:

Elevation head difference: $-35\mathrm{.}5$ m

Frictional head loss: Calculated for the existing and new parallel pipeline.

Plotting:

The plot should show the elevation of each point $($Z$),$ the HGL $($which will be slightly below the EGL due to velocity head losses$),$ and the EGL $($including all head components$).$

Points where pumps are located will show a significant jump in the EGL, reflecting the added pump head.

Points of downhill flow $($C to D$,$ D to E$)$ will show a decline in the EGL.SUGARLOAF PIPELINE PROJECT CORRIDOR

Figure $1.$ Project map: Goulburn River near Yea to the Sugarloaf reservoir northeast of Melbourne. L value: $26\mathrm{.}5$km$,$ N value: $17\mathrm{.}75$m$,$ L$1$ value: $2\mathrm{.}3$ km$,$ Discharge Q$=3\mathrm{.}2$GL$/$yr $=101\mathrm{.}47$ L$/$S$.$ USING THIS INFORMATION DRAW THE ENERGY AND HYDRAULIC GRADE LINE VARIATIONS ALONG THE PIPELINES FROM POINTS A TO E

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