What is relation between Knudsen Reynold and Mach numbers?

The Knudsen, Reynolds, and Mach numbers are dimensionless parameters used in fluid dynamics to characterize flow behavior. The Knudsen number (Kn) indicates the relative importance of molecular mean free path to a characteristic length scale, influencing whether the flow is molecular or continuum. The Reynolds number (Re) assesses the ratio of inertial to viscous forces, indicating flow regime (laminar or turbulent), while the Mach number (Ma) measures the ratio of flow velocity to the speed of sound, determining compressibility effects. Together, these numbers help describe different flow regimes and their interactions in various fluid systems.