The Eckert number is a dimensionless number used in fluid mechanics to describe the ratio between kinetic energy and thermal energy. In the context of surface evaporation of water in the presence of wind, the Eckert number plays a vital role in determining the heat transfer between the air and the water surface.
When the wind blows over a water surface, it increases the evaporation rate by removing the vapor forming on the surface and bringing in fresh air that can absorb more moisture. The evaporation rate is also affected by the temperature difference between the water and air, as well as the relative humidity of the air.
A high Eckert number indicates that the wind's kinetic energy is dominant, leading to turbulent mixing and rapid heat transfer. This enhances the rate of evaporation. In contrast, a low Eckert number means the thermal energy dominates, and the thermal boundary layer around the water surface limits heat transfer. This reduces the rate of evaporation.