CONSERVATION OF MECHANICAL ENERGY

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CONSERVATION OF MECHANICAL ENERGY

• FRICTIONLESS FLOW ALONG A STREAMLINE
• MECHANICAL ENERGY BALANCE ON A UNIT MASS OF FLUID
• POTENTIAL ENERGY
• KINETIC ENERGY
• FLOW ENERGY

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THE BERNOULLI EQUATION

• THE SUM OF THE THREE FORMS OF MECHANICAL ENERGY
  PER UNIT MASS REMAINS CONSTANT IN A FRICTIONLESS
  FLOW
• p ? u2/2 ? gy constant
• p/ (? g) u2/2g y constant
• p/? u2/2 gy constant

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BERNOULLI APPLICATIONS

• FLOW MEASUREMENT
• PITOT TUBE (POINT VELOCITY)
• VENTURI METER (flow rate in a pipe)
• ORIFICE PLATE (flow rate in a pipe)
• OPEN CHANNELS, WEIR FLOW (flow rate)

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BERNOULLI APPLICATIONS

• SOLUTION OF FLOW PROBLEMS
• Example - THE SIPHON
• Example - THE FOUNTAIN