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Describe the 3 types of energy a flowing liquid can possess and state the equation ofthe total energy of a flowing fluid.

Question

Describe the 3 types of energy a flowing liquid can possess and state the equation of the total energy of a flowing fluid.

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Solution

A flowing liquid can possess three types of energy:

  1. Kinetic Energy: This is the energy that the liquid possesses due to its motion. It can be calculated using the formula 1/2 mv^2, where m is the mass of the liquid and v is its velocity.

  2. Potential Energy: This is the energy that the liquid possesses due to its position in a gravitational field. It can be calculated using the formula mgh, where m is the mass of the liquid, g is the acceleration due to gravity, and h is the height above a reference point.

  3. Pressure Energy: This is the energy that the liquid possesses due to the pressure exerted on it. It can be calculated using the formula P/ρ, where P is the pressure and ρ is the density of the liquid.

The total energy of a flowing fluid can be calculated using the Bernoulli Equation, which states that the sum of the kinetic energy, potential energy, and pressure energy per unit volume is constant along a streamline. The equation is:

P/ρ + 1/2v^2 + gh = constant

where: P is the pressure energy per unit volume, ρ is the density of the fluid, v is the velocity of the fluid (related to kinetic energy), g is the acceleration due to gravity, and h is the height above a reference point (related to potential energy).

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