Dimensionless numbers

Dimensionless numbers are ratios that compare different physical properties of a system without depending on specific units, allowing scientists and engineers to analyze and predict behaviors across various conditions. They simplify complex equations by highlighting the relative importance of forces or effects, such as flow, heat transfer, or fluid properties. Examples include the Reynolds number, which indicates whether fluid flow is smooth or turbulent, and the Prandtl number, relating heat transfer to fluid flow. Using these numbers helps in designing systems and understanding phenomena in fields like engineering, meteorology, and physics.