Temperature and pressure change in an air vessel

[AmeenBassam]

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.

 

[Chestermiller]

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?

 

[AmeenBassam]

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.

 

[Chestermiller]

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.