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7.3 Fluid Dynamics

7.3 Fluid Dynamics - Bernoullis Equation Conservation of...

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1 7.2 Fluid Dynamics Fluid dynamics Bernoulli equation Venturi effects Windmills Bernoulli’s Equation Conservation of Energy in a flow tube The change in Energy of mass m in going from 1 to 2 is equal to the Work done on the mass by external pressure. 2 2 1 1 1 2 2 2 1 1 P v gy P v gy 2 2 + ρ + ρ = + ρ + ρ 2 1 P v gy Constant 2 + ρ + ρ = Venturi flow 2 2 1 1 2 2 1 1 P v P v 2 2 + ρ = + ρ When fluid flows faster through a flow tube the pressure is decreased. The high pressure does work to increase the kinetic energy. Venturi flowmeter Air flows through a Venturi flowmeter having a tube with a diameter d 1 that has a constriction where the diameter is reduced by a factor of 2. A U-tube containing water connects the two regions. What is the velocity v 1 if the difference in the water between the two arms of the U-tube is 5.0 cm. A 1 v 1 A 2 v 2 h=5 cm Carburator Low pressure draws liquid into the airstream at the constriction.

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