An open water tank drains through a round opening with a diameter of 15 mm in its side. The free surface is 7 m above the opening. Ignoring losses and the contraction of the jet, find the flow rate Q. Use g = 9.81 m/s².
Continuity & Bernoulli worksheet with answers
Seawater (ρ = 1025 kg/m³) flows at 1.25 m/s through a pipe with an inner diameter of 80 mm. Find the mass flow rate ṁ.
Water drains from a large open tank through a sharp-edged orifice with a diameter of 25 mm. The water level is kept 4.5 m above the orifice and the discharge coefficient is 0.65. Find the flow rate Q. Use g = 9.81 m/s².
Water flows through a horizontal pipe that narrows from 75 mm to 50 mm. In the wide section the pressure is 340 kPa and the velocity is 2.5 m/s. Ignoring losses, find the pressure p2 in the narrow section.
A closed water tank has compressed air above the water at a gauge pressure of 150 kPa. Water leaves through an opening with a diameter of 30 mm, 1 m below the water surface, into the open air. Ignoring losses, find the flow rate Q. Use g = 9.81 m/s².
A horizontal venturi meter (inlet 200 mm, throat 150 mm) carries water. A mercury U-tube manometer connected between the inlet and the throat shows a level difference of 360 mm. The discharge coefficient is 0.97. Find the flow rate Q. Use ρ = 1000 kg/m³ for water, 13 600 kg/m³ for mercury and g = 9.81 m/s².
Answer key
- 1. Q = 2.071 L/s
- 2. ṁ = 6.44 kg/s
- 3. Q = 2.998 L/s
- 4. p2 = 327.3 kPa
- 5. Q = 12.64 L/s
- 6. Q = 195.6 L/s
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