According to Bernoulli's principle, what occurs to the pressure of a fluid as its velocity increases?

According to Bernoulli's principle, as the velocity of a fluid increases, the pressure within the fluid decreases. This relationship illustrates a fundamental concept in fluid dynamics, where the total energy of a fluid remains constant in an ideal scenario, encompassing kinetic energy, potential energy, and internal energy (pressure).

To understand this further, consider the scenario of air moving over the wing of an airplane. The air traveling over the top of the wing has to cover a greater distance and hence moves faster compared to the air beneath the wing. According to Bernoulli's equation, since the air above the wing has increased velocity, its pressure must be lower than the pressure of the slower-moving air underneath the wing. This pressure difference generates lift, allowing the airplane to rise.

The principle effectively highlights the inverse relationship between fluid velocity and pressure, illustrating how changes in one can lead to predictable changes in the other. This understanding is crucial for various applications in aerodynamics, hydraulics, and fluid mechanics.