Total energy of the flowing fluid

In summary, the conversation discusses the concept of enthalpy and the formula for calculating it, which includes the variables u, P, v, ρ, e, ke, pe, V, and g. The question is raised about the inclusion of h in the equation for total energy of a flowing fluid and the absence of u in the first part of the equation.
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goldfish9776
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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

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FAQ: Total energy of the flowing fluid

What is the total energy of a flowing fluid?

The total energy of a flowing fluid is the sum of its kinetic energy, potential energy, and internal energy.

How is the total energy of a flowing fluid calculated?

The total energy of a flowing fluid can be calculated using the Bernoulli's equation: P + ρgh + 1/2ρv² = constant, where P is the pressure, ρ is the density, g is the acceleration due to gravity, h is the height, and v is the velocity of the fluid.

What factors affect the total energy of a flowing fluid?

The total energy of a flowing fluid is affected by the velocity of the fluid, the height of the fluid, and the density of the fluid. Other factors such as friction and external forces may also affect the total energy.

Why is the total energy of a flowing fluid important in fluid mechanics?

The total energy of a flowing fluid is important in fluid mechanics because it helps in understanding the behavior and movement of fluids. It is also used in various engineering applications such as designing pumps, turbines, and pipes.

Can the total energy of a flowing fluid change?

Yes, the total energy of a flowing fluid can change due to various factors such as changes in velocity, height, density, and external forces. However, the total energy remains constant along a streamline according to the Bernoulli's equation.

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