Lecture.6 - AE 1350 Lecture Notes #6 We have studied....

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AE 1350 Lecture Notes #6
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We have studied. .. Meaning of Incompressible Flow How and why speed of the flow affects compressibility Streamlines and stream tubes Continuity Equation
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Topics to be studied Conservation of Momentum Euler’s equation Conservation of Energy Bernoulli’s equation (even though Euler thought of it first.) Practical Applications of Bernoulli’s Equation
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Continuity Station 1 Density ρ 1 Velocity V 1 Area A 1 Station 2 Density ρ 2 Velocity V 2 Area A 2 Mass Flow Rate In = Mass Flow Rate Out ρ 1 V 1 A 1 = ρ 2 V 2 A 2
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Momentum Equation Based on Newton’s Second Law: Rate of Change of Momentum of a particle= Forces acting on it Consider an infinitesimally small slice of stream tube in space. Rate of change of momentum of the fluid particles within this stream tube must be due to forces acting on it.
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Momentum Equation (Contd. .) Density ρ velocity V Area =A Density ρ+ d ρ velocity V+dV Area =A+dA Mass Flow Rate in = Mass Flow rate out
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Lecture.6 - AE 1350 Lecture Notes #6 We have studied....

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