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.
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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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, = 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:
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