Understanding the Components of Energy in Fluid Mechanics

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SUMMARY

The equation Emec = P/ρ + v²/2 + gz represents the mechanical energy per unit mass in fluid mechanics, where P is pressure, ρ is fluid density, v is velocity, and g is gravitational acceleration. The resulting units of m²/s² indicate energy per unit mass, aligning with the concept of specific energy. The discussion clarifies that the equation is derived from Bernoulli's principle, emphasizing the relationship between pressure, kinetic energy, and potential energy in fluid systems.

PREREQUISITES
  • Understanding of Bernoulli's equation
  • Basic concepts of fluid mechanics
  • Familiarity with units of measurement in physics
  • Knowledge of specific energy and its applications
NEXT STEPS
  • Study Bernoulli's equation in detail
  • Explore the concept of specific energy in fluid dynamics
  • Learn about pressure and its role in fluid mechanics
  • Investigate the relationship between kinetic and potential energy in fluids
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Students and professionals in engineering, particularly those specializing in fluid mechanics, as well as educators teaching the principles of energy in fluid systems.

custer
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Why does Emec= P/\rho + v^2/2 + gz ?
The units resulting from the three expressions are m^2/s^2
but unit for energy is supposed to be Joules? where does the mass go? If the three expressions were already divided by the mass then why Emec still remains as Emec?
 
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Hi custer! :smile:

(have a rho: ρ :wink:)
custer said:
Why does Emec= P/\rho + v^2/2 + gz ?

Which book did you get that equation from? :confused:

The LHS should be the mechanical energy per unit mass.

(Compare it with ε, the internal energy per unit mass, or "specific internal energy").

See the PF Library on pressure and Bernoulli's equation :wink:
 
got it from a slide in my lecture note.. no wonder ;P
thank you :)
 

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