**Stream-lined and Turbulent Flow**

**Stream-lined Flow: **When the flow of liquid is such that the velocity, v of every particle at any point of the fluid is constant, then the flow is said to be steady or streamline flow.

**Turbulent flow: **If the liquid is flowing with an unequal velocity greater than its critical velocity then the flow of liquid is called turbulent flow.

**Equation of continuity**

Let us consider streamline flow of a non-viscous and incompressible liquid through a non-uniform tube as shown in the figure, Let A_{1}, v_{1,} and A_{2}, v_{2} are the area and velocities of liquid at section x and y respectively.

Now, mass per second of liquid entering the tube through section X = A_{1} v_{1}ϱ_{1} and mass per second of liquid leaving the tube through section Y = A_{2} v_{2}ϱ_{2}

_{1}= m

_{2}, or A

_{1}v

_{1}ϱ

_{1}= A

_{2}v

_{2}ϱ

_{2}

_{1}v

_{1}= A

_{2}v

_{2}

**The energy possessed by liquid;**

**1. Kinetic Energy:**The energy possessed by liquid by the virtue of its motion. Let a liquid of mass ‘m’ is moving with velocity ‘v’ then its K.E. is given by

^{2}

^{2}

^{2}

**2. Potential Energy:**Energy possessed by liquid by virtue of its position is called Potential Energy of liquid. Let a liquid of mass ‘m’ is kept height ‘h’ above from the ground surface, then its Potential Energy is given by

**3. Pressure Energy:**Energy possessed by liquid by virtue of pressure force is Pressure Energy. The pressure of the liquid is given by,

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