What are the units of kinematic viscosity?

Kinematic viscosity is a measure of a fluid's internal resistance to flow when an external force is applied. It is defined as the dynamic viscosity divided by the fluid density. The units of kinematic viscosity are derived from the definition, where dynamic viscosity (measured in pascal-seconds, Pa·s or kg/(m·s)) is divided by density (measured in kg/m³).

When we divide the unit of dynamic viscosity (Pa·s) by the unit of density (kg/m³), we can break down the units as follows:

1. Since 1 Pascal (Pa) is equivalent to 1 N/m² or 1 kg/(m·s²), the unit of dynamic viscosity Pa·s can be rewritten as kg/(m·s).
2. Dividing this by density gives us: [ \text{Kinematic Viscosity} = \frac{\text{Dynamic Viscosity}}{\text{Density}} = \frac{(kg/(m·s))}{(kg/m³)} ]
3. Simplifying this results in: [ \frac{kg}{(m·s) \cdot (kg/m³)} = \frac{