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Lecture 28 - Lecture 28 pls-28.1 Fluid Dynamics II Media 1...

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Lecture 28 pls-28.1 Fluid Dynamics II Media: 1. Blood pressure demo 2. Bernoulli velocity demos: (i) paper demos, (ii) ball in cone, (iii) ball and leaf blower, (iv) Styrofoam paint sprayer demo. 3. Venturi tube (w/camera) Clicker Questions 1 and 2 1. Bernoulli’s Equation —combines results of how pressure varies with height and velocity. —applies to the motion of an ideal ( 0 = η , 0 = C ) fluid in steady motion —is a form of the work-energy theorem for a fluid Bernoulli’s Eqn.: To see how this eqn. relates to the work-energy theorem nc i f W ME ME + = we can rewrite it as 2 2 2 2 1 2 1 1 2 1 2 1 h g v P h g v P ρ ρ ρ ρ + + = + + e unit volum 1 KE e unit volum 1 GPE 1 h 2 h 1 v 2 v
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Lecture 28 pls-28.2 ( ) 2 1 1 2 1 2 2 2 2 1 2 1 P P h g v h g v + + = + ρ ρ ρ ρ . Because 1 2 1 2 1 h g v ρ ρ + and 2 2 2 2 1 h g v ρ ρ + are the mechanical energy densities (ME/unit volume) at the initial and final positions of the piece of fluid, we see that the term ( ) 2 1 P P is the work done / unit volume
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