Design Problem I City B is supplied by the water tank A loca

Design Problem I City B is supplied by the water tank A located at +450 m above the sea level through a 200 mm pipe having a length of 5 km. A small village C is located in close proximity to city A. Due to water supply problems in the village, you are asked to check a water supply design system from tank A to the village The design is given below with the installation of a pipeline DE and a tank F located at420 m above the sea level. Determine the required pressure head at D to satisfy the requirements of the water flow demand and pressure in city B and the water flow demand to the village. LAD- 1 km 200 mm LAB-5km 200 mm LDE = 1 km Assumptions: Maximum daily demands for city- 2,000 m Maximum daily demands for village 1,200 m Elevation at the highest point at B is + 400m -Required pressure at the highest point at B is +10m -Relationship between J and Q where J is the slope of energy grade line Jim/km] | 0.70 | 1.20 | 2.00 | 4.00 | 8.501 15.00 Om3/hl40 50 70 100 150200

Solution

Appling bernoulis equation

P_B/W +V_B²/2g +Z_B = P_A/W +V_A²/2g +Z_A

P_B/9810+0+400=0+0+450

P_B=(450-400)*9810

P_B=490.5Kn/m²

V_a=Q₁/A₁

         =40/(/4 *.2²)=21.22m³/s

P_A/W +V_A²/2g +Z_A= P_D/W +V_D²/2g +Z_D

490.5*1000/9810+(21.22)²/(2*9.81)+400=P_D/W+0+0

P_D/W=472.95m