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- Homework Statement
- Calculation of potential electrical energy in a siphon water pipe

- Relevant Equations
- Ey=Eo x Vy/Vo x adjustment coefficients

Calculation of the potential electrical energy generation of a siphon pipe, emptying an enclosed reservoir and end of siphon pipe connected to a pelton turbine with efficiency of 75%

Height difference of siphon(Hd) = 4,5m

Height lift of Siphon (Hu) = 6m

Total siphon pipe length 10.5m

Pipe internal diameter 28mm

Friction loss coefficient : 0.00184

Head loss at inlet resistance coefficient:0.464

Resistance coefficient at bend siphon: 1.4

Maximum instantaneous power from flow:245.24W

Minmum instantaneous power from flow:64.31W

Integral instantaneous power from flow:245.24W

Maximum Vacuum:8m

Average energy generation on emptying reservoir: 2940j

Time to empty reservoir: 81415.89s

Reservoir volume: 168.713m3

Reduction coefficient: 0.92

generator effeciency coefficient: 0.8

Turbine efficiency: 75%

2940 x 81415.89/1000x.000277778 x 0.92 x 0.8 x .75 = 36.7kWh

__Known inputs:__Height difference of siphon(Hd) = 4,5m

Height lift of Siphon (Hu) = 6m

Total siphon pipe length 10.5m

Pipe internal diameter 28mm

Friction loss coefficient : 0.00184

Head loss at inlet resistance coefficient:0.464

Resistance coefficient at bend siphon: 1.4

Maximum instantaneous power from flow:245.24W

Minmum instantaneous power from flow:64.31W

Integral instantaneous power from flow:245.24W

Maximum Vacuum:8m

Average energy generation on emptying reservoir: 2940j

Time to empty reservoir: 81415.89s

Reservoir volume: 168.713m3

Reduction coefficient: 0.92

generator effeciency coefficient: 0.8

Turbine efficiency: 75%

**:**__Solution__2940 x 81415.89/1000x.000277778 x 0.92 x 0.8 x .75 = 36.7kWh