In Bernoulli's principle, what happens to pressure as velocity increases?

In Bernoulli's principle, an increase in the velocity of a fluid results in a decrease in pressure. This relationship is fundamental to understanding fluid dynamics and is often illustrated in various applications, including gas turbine systems.

According to Bernoulli's principle, when a fluid flows through a streamline, the sum of the pressure energy, kinetic energy (due to velocity), and potential energy (due to elevation) remains constant. Therefore, if the velocity of the fluid increases, it means that kinetic energy has increased, and to maintain the constant total energy, the pressure energy must correspondingly decrease.

This principle manifests in practical scenarios such as the functioning of airfoils, where faster airflow over the top surface reduces pressure compared to the slower airflow beneath, generating lift. In gas turbines, understanding this relationship helps engineers design components that efficiently manage the energy transformations between pressure and velocity, leading to optimal performance and operation of the turbine system.