How Does Throttling Affect Enthalpy and Velocity in a Converging Nozzle?

In summary: This is true for many many flows, but can be important if you are working on something like a high speed nozzle.In summary, when calculating the enthalpy drop across a fixed converging nozzle, the typical assumption is that kinetic and potential energies are neglected. This means that the enthalpy is considered constant, and the first law of thermodynamics states that the total energy before expansion is equal to the total energy after expansion. However, in the case of a high speed nozzle, kinetic energy may play a more significant role and cannot be ignored.
  • #1
leon25034796
6
0
Can someone explain something to me:

I believe when throttling h1=h2.
When calculating enthalpy drop across a FIXED converging nozzle then kinetic energy is caluclated using the following formula:
h1-h2 = v2^2/2 - v1^2/2
If the nozzle is converging then there will be an increase in kinetic energy, but, if assuming the nozzle is throttling with a respective pressure drop then how can h1=h2 as this would mean v1=v2?

Thanks
 
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  • #2
leon25034796 said:
Can someone explain something to me:

I believe when throttling h1=h2.
When calculating enthalpy drop across a FIXED converging nozzle then kinetic energy is caluclated using the following formula:
h1-h2 = v2^2/2 - v1^2/2
If the nozzle is converging then there will be an increase in kinetic energy, but, if assuming the nozzle is throttling with a respective pressure drop then how can h1=h2 as this would mean v1=v2?

Thanks

The typical assumption for a throttling device is that the kinetic and potential energies are neglected. Hence the enthalpy is constant.

CS
 
  • #3
Hi leon
leon25034796 said:
When calculating enthalpy drop across a FIXED converging nozzle then kinetic energy is caluclated using the following formula:
h1-h2 = v2^2/2 - v1^2/2
Note that this equation can be rewritten:
h1 + v1^2/2 = h2 + v2^2/2
This is the first law of thermo with the velocity added into account for kinetic energy. It says that the total energy prior to expansion is equal to the total energy after expansion. This obviously assumes no heat or work was done on or by the fluid.

As stewart mentions, kinetic energy is normally very small and can be neglected.
 

Related to How Does Throttling Affect Enthalpy and Velocity in a Converging Nozzle?

1. What is the purpose of a steam turbine?

A steam turbine is a device that converts the energy from high-pressure steam into mechanical energy, which can then be used to power generators and produce electricity.

2. What is enthalpy drop in a steam turbine?

The enthalpy drop in a steam turbine refers to the decrease in the enthalpy (or energy) of the steam as it passes through the turbine and does work.

3. How does the enthalpy drop affect the efficiency of a steam turbine?

The enthalpy drop is directly related to the efficiency of a steam turbine. The greater the enthalpy drop, the more energy is extracted from the steam and the higher the efficiency of the turbine.

4. What factors influence the enthalpy drop in a steam turbine?

The enthalpy drop in a steam turbine is influenced by several factors, including the initial pressure and temperature of the steam, the design of the turbine blades, and the rate of steam flow.

5. How can the enthalpy drop in a steam turbine be optimized?

To optimize the enthalpy drop in a steam turbine, engineers may adjust the design and operating conditions of the turbine, such as the number and shape of the blades, the steam inlet pressure and temperature, and the speed of the turbine. Regular maintenance and cleaning of the turbine can also help maintain its efficiency over time.

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