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• 1Fluid Mechanics Lecture 5

Fluid mechanics(wb1225)

Lecture 5:energy equation

• 2Fluid Mechanics Lecture 5

Snapping shrimp

[1]

• 3Fluid Mechanics Lecture 5

The energy equation

• 4Fluid Mechanics Lecture 5

The energy equation (contd)

small

• 5Fluid Mechanics Lecture 5

One-dimensional stationary energy flux equation

enthalpy:

• 6Fluid Mechanics Lecture 5

Bernoullis equation

Daniel Bernoulli(1700-1782)

conservation of energy for stationaryflow in a stream tube: stationary flow no mechanical work no viscous frictionand: incompressible fluid motion along streamline no heat transfer

• 7Fluid Mechanics Lecture 5

Example 3.21

[2]

• 8Fluid Mechanics Lecture 5

Validity of Bernoulli equation

[2]

• 9Fluid Mechanics Lecture 5

Cavitation

sonoluminescence

[2]

• 10Fluid Mechanics Lecture 5

Example 3.23

A constriction in a pipe will cause the velocity to rise and the pressure to fall atsection 2 in the throat. The pressure difference is a measure of the flow rate through the pipe.

The smoothly necked-down system shown is called a venturi tube.

Find an expression for the mass flux in the tube as a function of the pressurechange

[2]

• 11Fluid Mechanics Lecture 5

• 12Fluid Mechanics Lecture 5

Wind turbine

[3]

• 13Fluid Mechanics Lecture 5

Wind turbine

V

V

V

f VCA A

P Q RO

• 14Fluid Mechanics Lecture 5

• 15Fluid Mechanics Lecture 5

Wind turbineV

V

V

f VCA A

P Q RO

Power:

See Sect. 11-6 in White

• 16Fluid Mechanics Lecture 5

Summary Chapter 3: 3.6, 3.7

Examples: 3.20, 3.21, 3.23, 3.24

Problems: (see BlackBoard)

Study guideline:

practice practice practice

• 17Fluid Mechanics Lecture 5

Source

1. Snapping shrimp, http://youtu.be/ONQlTMUYCW42. Frank M. White, Fluid Mechanics, McGraw-Hill Series in Mechanical Engineering3. Wind turbines of Horns Rev wind farm, Denmark, photo courtesy of Vattenfall

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