Example
Water flows in a pipe 2 cm in diameter and 30 m long; the pipe is running full. Find the head loss when the temperature is 5C and the velocity is 10 cm/s.
(see Fig. A.3, p. 764, Text)
flow is laminar
head loss: ![](data:image/png;base64,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) of water
of water
Oil at 60F has a specific gravity of 0.92 and kinematic viscosity of 0.0205 ft2/s. Find the horsepower required to pump 50 tons of oil per hour along a pipeline 9 in diameter and one mile long.
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