| a | Adimensional function |
| A 0 | Cross section area at the inlet |
| A 1 | Cross section area at the outlet |
| A c | Cross section area at the throat |
| b | Adimensional function |
| C f | Local skin friction coefficient |
| d, D | Nozzle exit diameter |
| f | Friction coefficient; focal length |
| F 0 | Force exerted by the gas on the cutting front due to static pressure |
| F n | Normal component of the dynamic force exerted by the gas on the cutting front |
| F t | Tangential component of the dynamic force exerted by the gas on the cutting front |
| M | Mach number |
| M 0 | Mach number at the inlet |
| M 1 | Mach number at the outlet |
| M c | Mach number at the throat |
| p | Pressure of the assist gas |
| p 0 | Reference pressure; stagnation pressure |
| p a | Ambient pressure |
| p b | Background pressure |
| p e | Pressure just at the exit of the nozzle |
| p g | Reduced pressure |
| P | Laser power |
| R a | Average roughness |
| Reg | Reynolds number of the assist gas |
| t m | Melt film thickness |
| T | Temperature |
| U g | Velocity of the assist gas |
| U m | Velocity of the molten material |
| v c | Cutting speed |
| V c | Velocity of the assist gas at the throat of the de Laval nozzle |
| w | Kerf width |
| x | Distance along the centerline of the jet; distance along the cutting front or cutting edge |
| x M | Position of the Mach disk with regard to the nozzle exit |
| Z | Stand-off |
| γ | Heat capacity ratio (γ = cp/cv) |
| ρc | Density of the assist gas at the throat of the de Laval nozzle |
| ρg | Density of the assist gas |
| ρm | Density of the molten material |
| σm | Surface tension of the molten material |
| τ | Shear stress acting on the cutting front due to the assist gas |
| φ | Inclination of the cutting front |
| µg | Dynamic viscosity of the assist gas |