Brayton cycle combustion process

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Why does or how does combustion of fuel and air in a combustion chamber in a brayton cycle is idealized by a CONSTANT pressure. I remember that in a diesel cycle, it was idealized by constant pressure because as P increases by ignition but the volume increase offsets this increase. However, in this brayton cycle case, a combustion chamber is fixed and idealizing combustion by constant volume seems more logical.

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jack action
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The combustion chamber has open ends where air enters from one end and exit from the other with a known flow rate. As soon as the pressure want to increase in the combustion chamber, the gases are accelerated through the exhaust instead, such that the pressure never increases.
 
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