On the formation of a stably stratified internal boundary-layer by advection of warm air over a cooler sea

As a warm well-mixed air mass flows off a land surface and over a cooler sea, the air is modified in a layer near the surface. Within this layer, humidity decreases while temperature increases with height and a stably stratified internal boundary layer is formed. The non-dimensional parameters governing the growth of the modified layer are derived by dimensional analysis; simple forms are found for the increase of layer height with fetch and for the shapes of humidity and temperature profiles.