
The frictional force of wind on the ocean surface, a primary driver of currents and upwelling.Wind stress is the force per unit area that the wind exerts on the ocean surface as it blows across it. It is a frictional drag that transfers momentum from the atmosphere to the ocean, setting the surface waters in motion. This stress is the primary engine for ocean surface currents, including the major gyres, and it also drives the vertical movement of water known as upwelling and downwelling. Without wind stress, the ocean would be largely stagnant, and the global climate would be drastically different, as ocean currents redistribute heat from the tropics to the poles.
The concept of wind stress was quantified in the late 19th century, with early work by Vilhelm Bjerknes and later by Harald Sverdrup, who in 1947 used wind stress to explain the large-scale circulation of the Pacific Ocean. The drag coefficient formulation was refined through field experiments in the 1950s and 1960s.
As wind moves over the water, it creates turbulence in the air just above the surface and in the water just below. The wind stress is proportional to the square of the wind speed, typically expressed as τ = ρ_air * C_D * U^2, where ρ_air is air density, C_D is a dimensionless drag coefficient that depends on surface roughness, and U is the wind speed. This stress acts on the ocean surface, accelerating the water. Due to Earth's rotation, the resulting current is deflected to the right in the Northern Hemisphere and to the left in the Southern Hemisphere (the Coriolis effect), leading to the Ekman spiral. The net transport of water in the surface layer is at 90 degrees to the wind direction, which drives coastal upwelling when winds blow parallel to a coast.
Wind stress is a critical input for ocean circulation models used in climate prediction, and it is also used to estimate the potential for wind-driven upwelling, which supports major fisheries off the coasts of Peru, California, and West Africa.
Wind stress is strong enough to drive the Gulf Stream, which transports more water than all the world's rivers combined, and its strength varies with the seasons and large-scale climate patterns like El Niño.




















