Temperature and pressure change in an air vessel

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SUMMARY

The discussion focuses on modeling an air vessel with constant volume during the charging and discharging of compressed air. Key equations involving air mass (m), mass flow rates (Gc and Gt), and air temperature (Tac) are examined for their suitability. The open system version of the first law of thermodynamics is confirmed to validate the temperature equation, even when charging and discharging occur simultaneously. The inquiry references a published paper from Elsevier for foundational support.

PREREQUISITES
  • Understanding of thermodynamics, specifically the first law of thermodynamics
  • Familiarity with fluid dynamics concepts, particularly mass flow rates
  • Knowledge of air properties and behavior under compression
  • Experience with mathematical modeling of physical systems
NEXT STEPS
  • Research the application of the first law of thermodynamics in open systems
  • Study the effects of simultaneous charging and discharging in compressed air systems
  • Explore advanced fluid dynamics principles relevant to mass flow rates
  • Review published papers on air vessel modeling for additional equations and methodologies
USEFUL FOR

Engineers, researchers, and students involved in thermodynamics, fluid dynamics, and compressed air systems will benefit from this discussion.

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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