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

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SUMMARY

Throttling in a converging nozzle maintains constant enthalpy, represented by the equation h1 = h2. When analyzing the enthalpy drop across a fixed converging nozzle, the kinetic energy is calculated using the formula h1 - h2 = (v2^2/2) - (v1^2/2). In typical scenarios, kinetic and potential energies are neglected, leading to the conclusion that the total energy before and after expansion remains constant, assuming no heat or work interactions occur with the fluid.

PREREQUISITES
  • Understanding of thermodynamics principles, specifically the first law of thermodynamics.
  • Familiarity with the concepts of enthalpy and kinetic energy in fluid dynamics.
  • Knowledge of fixed converging nozzle operations and their characteristics.
  • Basic mathematical skills to manipulate and interpret energy equations.
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  • Study the first law of thermodynamics in detail to understand energy conservation in fluid systems.
  • Learn about the characteristics and applications of converging nozzles in fluid mechanics.
  • Explore the implications of neglecting kinetic and potential energy in thermodynamic calculations.
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leon25034796
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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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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
 
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.
 

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