The main application of Bernoulli's principle is used on airfoils. They use this to figure out the ideal size and shape of the airfoil.
The wings on a plane are what give the plane lift. We can describe this with Bernoulli's equation. If the height on one side if the wing compared to the other isn't too different we can ignore that term altogether. The density of the fluid will be the same, so the pressure and velocity are what we are focused on. From this equation we can find that the higher the velocity the lower the pressure and if the velocity is low the pressure is higher.