Engineering Board Exam Reviewer · Fluid Mechanics · hard

Water flows at 50 L/s through a 250 mm pipe 1 km long. If f = 0.025, what is the head loss?

  1. 5.288 m
  2. 5.192 m
  3. 21.152 m
  4. 1.322 m

Answer

A. 5.288 m

Solution

V = Q/A = 0.05/(π /4 × 0.252) = 1.0186 m/s. hf = 0.025(1000/0.25)(1.01862/19.62) = 5.288 m. (Equivalent: hf = 0.0826fLQ²/D⁵.)

More Fluid Mechanics questions

  1. Water flows at 2 m/s through a 200 mm pipe 500 m long. If f = 0.02, what is the head loss due to friction?
  2. What is the maximum velocity of water ( = 1 × 10-6 m2/s) in a 25 mm pipe for the flow to remain laminar (Re = 2000)?
  3. Oil ( = 900 kg/m3, = 0.1 Pa· s) flows at 0.5 m/s in a 50 mm pipe. What is the Reynolds number, and what is the flow regime?
  4. Water ( = 1 × 10-6 m2/s) flows at 1.5 m/s in a 100 mm diameter pipe. What is the Reynolds number?
  5. A pump draws water at 20 °C (vapor pressure 2.34 kPa abs) from an open sump. The suction pipe has a head loss of 0.5 m and the required…
  6. A centrifugal pump requires 20 kW at 1450 rpm. What power will it require at 1740 rpm?
  7. A centrifugal pump delivers 50 L/s at 1450 rpm. If the speed is increased to 1740 rpm, what will the new flow rate be?
  8. What horsepower is required to pump 100 L/s of water against a head of 60 m with a pump efficiency of 80%?
  9. A pump lifts water from a reservoir to a tank 25 m higher. The total head loss in the pipes is 3 m. What total head must the pump supply?
  10. A hydraulic turbine receives 10 m3/s of water under a net head of 40 m. If its efficiency is 88%, what is its power output?

All Fluid Mechanics Reviewer questions