According to Bernoulli's equation, what happens to pressure when velocity increases?

According to Bernoulli's equation, in a fluid flowing through a pipe or around obstacles, an increase in the fluid's velocity leads to a corresponding decrease in pressure. This relationship highlights the principle of conservation of energy in fluid dynamics, where the total mechanical energy of the fluid remains constant.

As the velocity of the fluid increases, the kinetic energy of the fluid particles increases. Since the total energy must remain constant, a decrease in potential energy (which is represented by pressure in this context) must occur to compensate for the increase in kinetic energy. Therefore, when the velocity increases, the pressure must decrease, making the correct answer a decrease in pressure.