Fluid Flow Continuity and Bernoulli’s Equation

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Presentation transcript:

Fluid Flow Continuity and Bernoulli’s Equation

Ideal Fluid Nonviscous Flow is steady Incompressible Irrotational

Conservation of Mass Mass In Mass Out

Varying Area Mass Out Mass In

Flow Rate Continuity Equation Av is the volume flow rate

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

Bernoulli’s Equation

Conservation of Energy?

Constant v Constant y

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

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

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

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