Transcript CONSERVATION OF MECHANICAL ENERGY • FRICTIONLESS FLOW ALONG A STREAMLINE

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
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