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Steady Flow

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Submitted By danielwatkins
Words 1590
Pages 7
Introduction
The statement of the principle of conservation of energy when applied to the flow of a fluid through a system is defined as The Steady Flow Energy Equation (SFEE). The term ‘Fluid’ is defined as a substance that can flow. There are two types of fluids, gases and liquids. A Steady flow process occurs when the state of fluid conditions at any point in the control volume remain constant with respect to time. Specifically, the mass flow rate entering the system is equal to the mass flow rate exiting the system. Conversely, non-uniform flow process is when the velocity varies at any instant. The common systems which involve steady flow processes are open system turbines, compressors, pumps etc. [1] (W.BOLTON, 1990)
Background Theory

Steady flow energy equation
The development of the Steady Flow Energy Equation of fluid is derived from the principle of conservation of energy which state that: For any mass system, the net energy supplied to the system equals the increase of energy of the system plus the energy leaving the system.
Therefore, if is the increase of energy of the system, is the energy supplied to the system and the energy leaving the system. Therefore, the energy balance for the system is considered.

The energy of a mass of fluid contains the forms as followed: 1. Internal energy due to the activity of the molecules of the fluid forming the mass; 2. Kinetic energy due to the velocity of the mass of fluid itself; 3. Potential energy due to the mass of fluid being at a height above the datum level and acted upon by gravity. [2]

As steady flow operation concludes that no energy may be stored within the systems, therefore, the equations derive as follow:
Energy entering the system:

Total Energy leaving the system:

As First Law of Thermodynamic state that

Now:

The steady flow energy equation can be applied

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