According to the Bernoulli equation, which describes the conservation of energy in fluid flow, there is an inverse relationship between the velocity and pressure terms. If the velocity term is incrementally increased while assuming the constant term remains unchanged, the pressure term will decrease.
The Bernoulli equation can be expressed as:
P + (1/2)ρv^2 + ρgh = constant
Where: P is the pressure of the fluid ρ is the density of the fluid v is the velocity of the fluid g is the acceleration due to gravity h is the height of the fluid above a reference point
If we focus on the first two terms of the equation, P + (1/2)ρv^2, we can see that they represent the pressure and kinetic energy terms, respectively.
When the velocity term (v) is incrementally increased, assuming the constant term remains the same, the kinetic energy term (1/2)ρv^2 will increase. In order to maintain the constant value, the pressure term (P) must decrease. This decrease in pressure corresponds to a decrease in the static pressure of the fluid.
This relationship is often observed in fluid flow situations, such as when fluid flows through a constricted area, like a narrow pipe or nozzle. As the fluid's velocity increases in the constricted area, the pressure decreases according to the Bernoulli equation. This principle is utilized in applications like Venturi tubes, atomizers, and aircraft wings.