Show all steps and calculation A 50 ft diameter tank is loca

A 50 ft diameter tank is located in a city to supply drinking water for a small community with 17 households. Based upon number of residents in each household, the average demand of these households in c f s are shown in Figure The tank is 20 ft high and is located 400 ft above the city. The tank supplies water with a constant flow of 4.5 c f s during the day. All the nodes in the network are located at 0 ft elevation. All pipes have roughness coefficient C - 100. Use Hazen-Williams formula for calculations and neglect minor losses. The lengths and diameters of all pipes are fixed and are given in Table 1. Compute flow rate and velocity in each pipe of network using Hardy crow iterative method. Abo determine the pressure head at each node. Present your your results in form of table. Use MS Excel or similar program to present your calculation results. Present all steps. of calculations.

Solution

Starting from P₂₁ = 0.51 cfs.......ANSWER

P₁₉ + P₂₀ = 0.15+0.51 = 0.66 cfs

P₁₆ = P₁₉ + 0.71 + 0.17 = P₁₉ + 0.88

1.77 = P₁₈ + P₁₆ + 0.12

P₁₈ = 0.11 + P₂₀

Solving these equations, we have:

P₂₀ = 0.30 cfs.......ANSWER

P₁₈ = 0.41 cfs.......ANSWER

P₁₆ = 1.24 cfs.......ANSWER

P₁₉ = 0.36 cfs.......ANSWER

P₁₇ = 0.71 cfs.......ANSWER

P₁₅ = 0.12 + 0.11 + 0.17 + 0.15 + 0.71 + 0.51 = 1.77 cfs.......ANSWER

P₁₄ = 0.61cfs.......ANSWER

P₁₂ = 0.51cfs.......ANSWER

P₁₃ = 0.18 + 1.77 + 0.61 = 2.56cfs.......ANSWER

P₁ = 4.5cfs.......ANSWER