The back-work ratio much higher in the brayton cycle than in the rankine cycle because a gas cycle is the Brayton cycle, while a steam cycle is the Rankine cycle. Particularly, the creation of water droplets will be a constraint on the steam turbine's efficiency. Since gas has a bigger specific volume than steam, the compressor will have to work harder while using gas.
Recall the steady flow device's shaft work expression.
W =-∫ V dP +...
As it is in the pump (liquid) compared to turbine (superheated vapor) in the Rankine cycle, the specific volume in the compressor is not significantly less than the specific volume in the turbine in the Brayton cycle.
A thermodynamic cycle that transforms heat into mechanical energy is the Rankine cycle, often known as the Rankine vapor cycle.
The operation of various heat engines that use air or another gas as their working fluid is described by the Brayton cycle, a thermodynamic cycle.
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