Fluid Mechanics

Use this for “A mercury manometer on a water pipe reads 0.12 m. What is PA − PB?”

Use this for “A gate 2 m wide and 3 m tall has its top 1 m under water. Find the force and where it acts.”

Use this for “0.06 m³ of wood of 600 kg/m³ floats in water. How much is under, and what is FB?”

Use this for “A pitot-static tube in air of 1.2 kg/m³ reads 600 Pa. How fast is the air?”

Use this for “Water stands 5 m above a sharp-edged 50 mm hole in a tank’s side. How fast does it leave, and what is the flow rate?”

Use this for “Water flows into a 2 m² tank at 0.02 m³/s and out at 0.012 m³/s. How fast does the level rise?”

Use this for “A pump lifts 0.01 m³/s of water 20 m with 4 m of pipe losses at 75% efficiency. What shaft power does it need?”

Use this for “A 100 m ship sails at 10 m/s. How fast should its 4 m model (1:25) be towed?”

Use this for “A 1 m car model feels 200 N of drag at 120 m/s. What drag does the 4 m car feel at 30 m/s in the same air?”

Use this for “A model of a spillway is tested in a lab. Should it match the Reynolds, Froude, Mach or Weber number?”

Use this for “Oil with μ = 0.1 Pa·s and ρ = 900 kg/m³ flows at 10⁻⁴ m³/s through 10 m of 20 mm tube. Find the pressure drop.”

Use this for “Water at 2 m/s passes fittings whose loss coefficients add to 3.5. Find the minor head loss.”

Use this for “Water at 3 m/s flows along a 2 m plate 1 m wide. How thick is the turbulent layer at the end, what is Cf, and what is the drag on one side?”

Use this for “A car with CD = 0.3 and a frontal area of 2.2 m² drives at 30 m/s in air of 1.2 kg/m³. Find the drag and the power it takes.”

Use this for “A pump gives H = 40 − 2000Q² m; the system needs H = 12 + 1500Q² m. Where does it run?”

Use this for “A pump draws 30 °C water (Pᵥ = 4.25 kPa) from an open sump 2 m below it with 1.2 m of suction losses. The pump needs 5 m NPSH. Will it cavitate?”