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Fluid Flow Continuity and Bernoulli’s Equation

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Presentation on theme: "Fluid Flow Continuity and Bernoulli’s Equation"— Presentation transcript:

1 Fluid Flow Continuity and Bernoulli’s Equation

2 Ideal Fluid Nonviscous Flow is steady Incompressible Irrotational

3 Conservation of Mass Mass In Mass Out

4 Varying Area Mass Out Mass In

5 Flow Rate Continuity Equation Av is the volume flow rate

6 v1 = 1 m/s v2 =? d2= 2 cm d1= 8 cm

7

8 Bernoulli’s Equation

9 Conservation of Energy?

10 Constant v Constant y

11 Pressure and Speed Bernoulli’s Equation indicates that as the speed of a fluid increases the pressure decreases.

12 Static Problem Fluid not moving A = 0.02 m2 P= 202 kPa A = 0.05 m2

13 Fluid Flow A = 0.02 m2 P= 202 kPa A = 0.05 m2 v = 4 m/s P= ? kPa 2 m

14 What is the gauge pressure in the water main?
d = 2 cm 2 m d = 6 cm 25 L in 30 s


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