Fluids in Motion Problem Set

#1

How large must a heating duct be (in m²) if air moving 3.0 m/s along it can replenish the air every 15 minutes in a room 300 m³ volume? Assume the density of the air remains constant everywhere.

#2

Water circulates throughout a house in a hot water heating system. If the water is pumped at a speed of 0.50 m/s through a 4.0 cm diameter pipe in the basement under a pressure of 3.0 atm, what will be the flow speed and pressure in a 2.6 cm diameter pipe on the second floor 5.0 m above?

#3

What is the lift (in newtons) due to Bernoulli's principle on an aircraft wing of area 80 m² if the air passes over the top and bottom surfaces at speeds of 340 m/s and 290 m/s respectively?