BeginnerTopic 18 of 105Thermodynamics & Fluids
Energy balance for control volumes
Includes flow work and enthalpy of streams crossing boundaries.
In depth
For a control volume: dE_cv/dt=Q̇-Ẇ+Σṁ_in(h+V²/2+gz)-Σṁ_out(h+V²/2+gz). Steady state sets the left side to zero; mass balance Σṁ_in=Σṁ_out. Transient analysis needed for filling or emptying tanks.
Key points
- Specific energy of a stream
- Flow work Pv included in h
- Uniform-flow approximation
ExampleA heater warming 0.1 kg/s water by 20 K needs 8.4 kW.
Flow processes add flow work and carried enthalpy to the energy balance, so control volume analysis is needed for pumps, turbines and heat exchangers.
What is Energy balance for control volumes?
Includes flow work and enthalpy of streams crossing boundaries.
Why is it important to understand energy balance for control volumes?
Flow processes add flow work and carried enthalpy to the energy balance, so control volume analysis is needed for pumps, turbines and heat exchangers.
What does a control volume energy balance include?
Heat in, work out, and the enthalpy and kinetic and potential energy carried by mass entering and leaving.
When is the steady-flow form valid?
When the properties at each inlet and outlet do not change with time and the mass flow is constant.
How is Energy balance for control volumes used in practice?
Typical applications include writing the energy balance for a steam turbine with inlet and outlet flows, analysing the energy of air passing through a fan and modelling a heat exchanger with two streams in steady flow.
What should I learn before Energy balance for control volumes?
Study "Compressibility factor" first (topic 17 of 105 in Thermodynamics & Fluids). It covers the groundwork this topic builds on.
What are the key points of Energy balance for control volumes?
Specific energy of a stream. Flow work Pv included in h. Uniform-flow approximation.
Can you give an example of Energy balance for control volumes?
A heater warming 0.1 kg/s water by 20 K needs 8.4 kW.
What comes after Energy balance for control volumes?
The next topic is "Steady-flow devices", which builds directly on this one.
How difficult is Energy balance for control volumes?
It is classed as Beginner in Thermodynamics & Fluids (topic 18 of 105). It is an entry-level topic. It relies only on basic school mathematics and the ideas introduced earlier in this discipline.