Temperature and pressure change in an air vessel

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Discussion Overview

The discussion revolves around modeling an air vessel that maintains a constant volume during the processes of charging and discharging compressed air. Participants are examining the suitability of certain equations related to mass flow rates and temperature within the air storage device.

Discussion Character

  • Technical explanation, Experimental/applied, Debate/contested

Main Points Raised

  • One participant seeks confirmation on the suitability of equations related to mass flow rates and temperature in the context of an air vessel.
  • Another participant requests a derivation of the equations and questions whether charging and discharging occur simultaneously.
  • A later reply mentions finding an equation in a published paper and expresses gratitude for the feedback received.
  • Another participant claims to have confirmed the temperature equation using the open system version of the first law of thermodynamics, even in scenarios involving simultaneous charging and discharging.

Areas of Agreement / Disagreement

The discussion contains multiple viewpoints and remains unresolved regarding the suitability of the equations and the specifics of the charging and discharging processes.

Contextual Notes

Participants have not provided detailed derivations or assumptions underlying the equations, and there is a lack of clarity on the conditions under which the equations are applied.

AmeenBassam
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Hello All,

I am trying to model an air vessel with a constant volume during charging and discharging with compressed air. Are the equations in the attached photo are suitable?
where m is the air mass, Gc and Gt are the mass flow rate in and out of the air vessel with a volume V. Tac is the temperature of the Air in air storage device.
 

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AmeenBassam said:
Hello All,

I am trying to model an air vessel with a constant volume during charging and discharging with compressed air. Are the equations in the attached photo are suitable?
where m is the air mass, Gc and Gt are the mass flow rate in and out of the air vessel with a volume V. Tac is the temperature of the Air in air storage device.
Let's see your derivation. Also, are the charging and discharging occurring simultaneously?
 
Chestermiller said:
Let's see your derivation. Also, are the charging and discharging occurring simultaneously?
I found this equation in a published paper in Elsevier and I just wanted to make sure of it and thank you for your reply.
 
AmeenBassam said:
I found this equation in a published paper in Elsevier and I just wanted to make sure of it and thank you for your reply.
Using the open system version of the 1st law of thermodynamics, I confirmed the temperature equation, even for combined charging and discharging.
 
Last edited:

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