Free expansion is non flow irreversible process having internal energy constant so no work interaction

Explanation:
In thermodynamics, work transfer refers to the energy transfer between a system and its surroundings in the form of mechanical work. The work transfer can occur during different processes, such as expansion or compression of a gas.

Adiabatic Expansion:
- Adiabatic expansion is a thermodynamic process in which a gas expands without any heat transfer occurring between the system and its surroundings.
- During adiabatic expansion, there is no exchange of thermal energy, but work can still be done by or on the system.
- The work done during adiabatic expansion is due to the change in the internal energy of the gas.
- Therefore, adiabatic expansion involves work transfer.

Isothermal Expansion:
- Isothermal expansion is a thermodynamic process in which a gas expands while maintaining a constant temperature.
- During isothermal expansion, heat is transferred between the system and its surroundings to maintain the constant temperature.
- The work done during isothermal expansion is equal to the heat transferred.
- Therefore, isothermal expansion involves work transfer.

Polytropic Expansion:
- Polytropic expansion is a thermodynamic process in which a gas expands or compresses with a varying relationship between pressure and volume.
- The polytropic expansion can be represented by the equation P^m * V^n = constant, where m and n are constants.
- During polytropic expansion, work can be done by or on the system depending on the values of m and n.
- If m is not equal to 0, work transfer is involved in the process.
- Therefore, polytropic expansion may involve work transfer.

Free Expansion:
- Free expansion is a thermodynamic process in which a gas expands into a vacuum without any external work being done on or by the system.
- During free expansion, there is no change in pressure or volume of the system since it expands into a vacuum.
- As there is no change in the state of the system, no work transfer occurs during free expansion.
- Therefore, free expansion does not involve work transfer.

Conclusion:
Among the given options, free expansion is the only process that does not involve work transfer. Adiabatic expansion, isothermal expansion, and polytropic expansion can all involve work transfer depending on the specific conditions and equations governing the process.