How to calculate the power consumption during steam compression

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Discussion Overview

The discussion revolves around calculating the power consumption during the compression of steam, specifically from a saturated state at 50°C to a saturated state at 100°C and 1 bar. Participants explore various methods for this calculation, including enthalpy changes and ideal gas equations, while addressing the differences between gas and vapor behavior during compression.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant proposes calculating power consumption by determining the gross enthalpy of steam at both temperature levels and subtracting the values.
  • Another participant questions the validity of using gas laws for saturated steam, suggesting that it should be treated differently than superheated steam.
  • There is a discussion about whether the compressor operates adiabatically and how this affects the state of the steam post-compression.
  • Some participants assert that if the compression is adiabatic and reversible, the steam cannot remain saturated at the outlet and must be superheated.
  • One participant presents detailed calculations using both the enthalpy method and the ideal gas method, noting that the results are closely aligned.
  • Concerns are raised about discrepancies in temperature assumptions and the implications of isentropic processes on steam saturation.
  • Participants express confusion over the relationship between enthalpy changes and power consumption, particularly regarding units of measurement.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the methods for calculating power consumption, with multiple competing views on the applicability of gas laws to steam and the behavior of steam during compression. Disagreements persist regarding the assumptions of temperature and saturation states throughout the process.

Contextual Notes

Some participants highlight the need for specific enthalpy values and the degree of superheating to accurately calculate power consumption. There are unresolved questions about the assumptions made regarding adiabatic processes and the definitions of gas versus vapor.

Who May Find This Useful

This discussion may be of interest to those studying thermodynamics, particularly in the context of steam systems, as well as professionals involved in engineering applications related to fluid dynamics and energy systems.

  • #31
pranj5 said:
As per wikipedia (https://en.wikipedia.org/wiki/Water_(data_page)#Water.2Fsteam_equilibrium_properties), density of steam at 20C saturated level is 0.01728 kg/m3 and at 100C it's 0.5974 kg/m3. Density in inversely proportional to volume and kindly count the compression ratio by volume.
The final temperature is not 100 C, so you can't use the data at 100 C for anything. The final temperature is 450 C, and that results in a much lower volume compression ratio. (For some reason, you seem obsessed with 100 C).
 
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  • #32
I haven't said anything about temperature, but rather pressure. The exhaust steam will be at 1 bar pressure. And, as far as I know, the higher the temperature, lesser will be density i.e. bigger will be the volume.
 
  • #33
pranj5 said:
I haven't said anything about temperature, but rather pressure. The exhaust steam will be at 1 bar pressure. And, as far as I know, the higher the temperature, lesser will be density i.e. bigger will be the volume.
The higher the final temperature, the lower the volume compression ratio.

Are you saying that you think your answer is correct and mine is incorrect? I solved this problem by three different methods and got the same answer.
 
Last edited:
  • #34
"The higher the final temperature, the lower the volume compression ratio."
How?
 
  • #35
pranj5 said:
"The higher the final temperature, the lower the volume compression ratio."
How?
From the ideal gas law,
$$volume\ compression\ ratio\ =\frac{V_1}{V_2}=\frac{T_1}{T_2}\frac{P_2}{P_1}$$
For fixed values of T1, P1, V1 and P2, the higher the value of T2, the higher the value of V2 and the lower the value of the volume compression ratio.
 

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