Water must flow over a distance of 2 800 m from a large catchment dam to a turbine. The water level in the catchment dam is 1 620 m above sea level and the turbine is situated 1 275 m above sea level. The efficiency of transmission is 65% and 300 kW must be transmitted from the pipeline to the turbine. If f = 0.007, determine the number of 200 mm diameter pipelines, which must be laid in parallel, needed to transmit the required power.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Water must flow over a distance of 2 800 m from a large catchment dam to a turbine.
The water level in the catchment dam is 1 620 m above sea level and the turbine is
situated 1 275 m above sea level. The efficiency of transmission is 65% and 300 kW
must be transmitted from the pipeline to the turbine. If f = 0.007, determine the number
of 200 mm diameter pipelines, which must be laid in parallel, needed to transmit the
required power.
Transcribed Image Text:Water must flow over a distance of 2 800 m from a large catchment dam to a turbine. The water level in the catchment dam is 1 620 m above sea level and the turbine is situated 1 275 m above sea level. The efficiency of transmission is 65% and 300 kW must be transmitted from the pipeline to the turbine. If f = 0.007, determine the number of 200 mm diameter pipelines, which must be laid in parallel, needed to transmit the required power.
Expert Solution
Step 1: To determine the head loss

Given,

Length of each pipe, L = 2800 m

head available at inlet of pipes, H = 1620 m - 1275 m = 345 m

Efficiency of transmission, η = 65%

Power to be transmitted, P - 300 kW

Coefficient of friction factor for the pipes, f = 0.007

Diameter of pipes, D = 200 mm = 0.2 m

 

Let the total head loss due to friction be Hf (m).

 

Using the transmission efficiency, we can write:

η=H-HfH

Hf=H1-η

Hf=345 m × 1-0.65 = 120.75 m

 

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