This document discusses turbomachines and provides classifications. It begins by defining turbomachines as machines that transfer energy between a rotor and fluid, including both turbines and compressors. Turbines transfer energy from fluid to rotor, while compressors transfer from rotor to fluid. Turbomachines are then classified based on: whether they transfer energy from fluid to rotor (turbine) or rotor to fluid (pump); number of stages (single or multi-stage); extent of fluid (infinite or finite); type of fluid (thermal, gas, hydro); flow type (axial, mixed, or radial); purpose (power producing or absorbing); and design (open or closed). Comparisons are made between turbomachines and positive