# Energy Considerations in a Steady Flow

Tuesday, May 3, 2011 15:24Whenever Fluid is moving in a certain pipe line then the fluid must contain certain energy. The energy sustain by the fluids are following.

- Kinetic Energy.
- Potential Energy.
- Pressure Energy.

**Kinetic Energy :**

Energy in a body due to its motion is known as **kinetic energy. **

A body of mass m is moving with velocity v possesses a kinetic energy,

KE= ½ (mv^{2})

We know that w= mg

So m=w/g

By putting this value in equation KE= ½ (mv^{2}).

We get KE= wv^{2}/2g.

**Potential Energy :**

The energy of the fluid particles due to position or elevation of the fluid from the datum is known as potential energy.

P.E= mgh

we know the w=mg

So P.E=wz

Where z is the elevation of the fluid from the datum.

**Pressure Energy: **

The energy of the fluid particles due to pressure existing in the pipeline is called pressure energy.

P_{E}=pw/γ

Where p is the pressure, w is the weight of the fluid and γ is the specific weight of the fluid.

**Total Energy :**

The Total energy carried by the fluid particles in a pipeline will be considered as total energy of the fluid. Total energy will be the sum of all the above described energies.

T.E=k.E+ P.E+ Pressure Energy

T.E=wv^{2}/2g +wz+pw/γ

T.E=w(v^{2}/2g +z+p/γ)