Adiabetic wall is also know as heat insulator wall, adiabetic walls saperates a system thermally from another system.
what is thermal saperation?
when for a system, there is no possibility of accepting or rejecting heat to external system, such a system is called thermally isolated,this is achieved by an adiabetic wall around the boundary.
Adiabetic processes:
when a thermally isolated system performs work on the external sorrounding or when an external agent perform some work on the such a system, it all happens at the cost change of the internal energy of the system.
so if the system dose work, it spents its energy and become cool, and when the work is done on the system adiabetically it gains internal energy and becomes hotter.
Examples of real life scenario:
Air pumps body becomes heated while filling air in the tube, pressing happens so sudden that it is almost adiabetic.
air comming out the tube become cold , for the same reason as explained above.