Engineering Thermodynamics
Stirling cycle consists of

Two constant pressure and two isothermal processes
Two constant volume and two isentropic processes
Two constant volume and two isothermal processes
One constant volume, one constant pressure and two isentropic processes

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Engineering Thermodynamics
In order that a cycle be reversible, following must be satisfied

When beat is being rejected, temperature of cold source and working substance should be same
Free expansion or friction resisted expansion/compression process should not be encountered
When heat is being absorbed, temperature of hot source and working substance should be same
All of these

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