Pressure, kinetic and potential energy of liquids

Pressure, kinetic and potential energy of liquids

A liquid in a steady flow can possess three kinds of energy. They are (1) Kinetic energy, (2) Potential energy, and (3) Pressure energy, respectively.

i) Kinetic energy:  The kinetic energy of a liquid of mass m moving with a velocity v is given by

The kinetic energy per unit mass =

Similarly, the kinetic energy per unit volume

ii) Potential energy: The potential energy of a liquid of mass m at a height h above the ground level is given by

PE = mgh

The potential energy per unit mass

Similarly, the potential energy per unit volume =

ii) Pressure energy: The energy acquired by a fluid by applying pressure on the fluid. We know that

Pressure = Force/Area â‡’ Force = Pressure × Area

F × d = (P A) × d = P (A × d)

F × d = W = P V = pressure energy

Therefore, pressure energy, EP = PV The pressure energy per unit mass =

Similarly,  the  potential  energy  per  unit volume =