Total energy of the flowing fluid

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SUMMARY

The total energy of a flowing fluid is represented by the equation P/ρ + e = h + ke + pe = h + (V²)/2 + gz. In this equation, h denotes enthalpy, which is defined as h = u + P/ρ. The inclusion of h in the total energy equation is essential as it accounts for both internal energy (u) and pressure energy (P/ρ). The absence of u in the total energy equation is clarified by the fact that h already incorporates u, thus simplifying the overall energy representation.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with thermodynamic concepts, particularly enthalpy
  • Knowledge of energy conservation in fluid systems
  • Basic proficiency in mathematical equations involving fluid properties
NEXT STEPS
  • Study the derivation of the Bernoulli equation in fluid dynamics
  • Explore the relationship between enthalpy and internal energy in thermodynamics
  • Learn about the implications of kinetic and potential energy in fluid flow
  • Investigate applications of total energy equations in engineering contexts
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Students of fluid mechanics, engineers working with fluid systems, and professionals involved in thermodynamic analysis will benefit from this discussion.

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Homework Statement


Since this scanned notes is not clear enough , so I retype some parts of the notes,

The enthalphy , h is given by the formula , h = u +Pv = u + P/ ρI want to ask about the total energy of the flowing fluid , which is given by the formula =

P/ ρ + e = h + ke +pe = h + (V^2) /2 +gz

Why the h appear in the equation , if h appear in the equation , then shoudn’t the equation = u + P/ ρ + e ?

Why in the first part of the equation of total energy of the flowing fluid , the u is missing ?

Homework Equations

The Attempt at a Solution

 

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