In flight mechanics, the Reynolds number () is a dimensionless quantity used to characterize the flow of air around an aircraft. It’s defined as the ratio of inertial forces to viscous forces in the airflow. The Reynolds number is crucial in determining whether the flow around an aircraft is laminar or turbulent and affects various aerodynamic phenomena such as drag, lift, and boundary layer behavior. The Reynolds number formula in flight mechanics is given by:
- is the Reynolds number,
- is the density of the air (in kg/m³ or slugs/ft³),
- is the velocity of the air relative to the aircraft (in m/s or ),
- is the characteristic length (in meters or feet),
- is the dynamic viscosity of the air (in kg/(m*s).