Q18CQ - College Physics (Urone)

Question

Based on Bernoulli’s equation, what are three forms of energy in a fluid? (Note that these forms are conservative, unlike heat transfer and other dissipative forms not included in Bernoulli’s equation.)

Step-by-Step Solution

Answer

The three forms of energy are pressure energy, kinetic energy, and potential energy.

Step 1: Concept of Bernoulli’s equation.

Bernoulli’s equation is the relationship between pressure and velocity in fluids. It states that for an incompressible fluid, the following sum is constant.

\(P + \frac{1}{2}\rho {v^2} + \rho gh = {\rm{constant}}\)

Here, P  is the pressure, v is the velocity, \(\rho \) is the density,  g is the acceleration due to gravity, and h  is the height.

Step 2: Explanation of the three forms of energy in a fluid.

According to Bernoulli’s equation, the three forms of energy are as follows:

(i) Potential energy: It is the energy stored in an object due to its position.

(ii) Kinetic energy: It is the energy of an object due to its motion.

(iii) Pressure energy: It is the energy of a fluid due to the applied load or pressure.