Top panel: wind classification modes based on various temperature profiles, namely, the adiabatic wind (AW), adiabatic bubble (AB), catastrophic cooling (CC), and catastrophic cooling bubble (CB), as defined by Paper II. Temperature profiles (solid lines) are plotted along with their adiabatic predictions (dashed lines). Bottom panel: the different regions for the AB wind mode are labeled on the density profile and separated by dotted lines: (a) expanding wind, (b) hot bubble, (c) shell, and (d) ambient medium. Density profiles (solid lines) are plotted along with their adiabatic solutions (dashed lines).