From first law of Thermodynamics, we know that the total energy entering the system is equal to total energy leaving the system. This law is applicable to the steady flow systems.

**Steady Flow Energy
Equation**

From first law of Thermodynamics, we know that the
total energy entering the system is equal to total energy leaving the system.
This law is applicable to the steady flow systems.

Consider an open system-through which the working
substance flows as a steady rate. The working substance entering the system at
(1) and leaves the system at (2). Let,

P_{1}- Pressure of
the working substance entering the system
(N/m^{2})

V_{1}- Specific volume of the working substance entering the system (m3/kg)

C_{1}- Velocity of the, working substance
entering the system (m/s)

U_{1}
- Specific internal energy of the working substance entering the system *(Jlkg)** *

Z_{1} - Height above the datum level for
inlet in (m).

P2, v2 , c2, U2 and Z2 - Corresponding values for the working substance leaving the
system.

Q - Heat supplied
to the system (J/kg)

W - Work delivered by the system (J/kg).

Total energy entering
the system = Potential energy (gZ_{1}) + Kinetic energy (c_{1}^{2}/2)

+
Internal energy (U_{1}) + Flow energy (p_{1} v_{1}) +
Heat (Q)

Total energy leaving
the system = Potential energy (gZ_{2}) + Kinetic energy (c_{2}^{2}/2)

+
Internal energy (U_{2}) + Flow energy (p_{2} v_{2}) +
Work (W)

From first law of
Thermodynamics,

Total energy entering
the system = Total energy leaving the system

gZ_{1}
+ (c_{1}^{2}/2) + U_{1} + p_{1} v_{1} +
Q = gZ_{2} + (c_{2}^{2}/2) + U_{2}+ p_{2}
v_{2} + W

**gZ _{1}
+ (c_{1}^{2}/2) + h_{1} +Q = gZ_{2} + (c_{2}^{2}/2)
+ W**

[ i.e h = U + pv]

The above equation is known as steady flow energy
equation.

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