What is the relationship between pressure and velocity through a convergent duct?

The relationship between pressure and velocity through a convergent duct is best described by Bernoulli's principle. This principle states that in a steady flow of an incompressible fluid, the total mechanical energy of the fluid remains constant. As the fluid flows through a duct that narrows (which is a convergent duct), its velocity increases due to the reduction in cross-sectional area. According to Bernoulli's principle, as the fluid's velocity increases, the pressure within the fluid decreases.

This relationship is critical in understanding how fluid dynamics operates in applications such as jet engines and other turbine systems, where airflow behavior directly influences performance. The inverse relationship between pressure and velocity in a convergent duct is fundamental in the design and operation of many aerodynamic and hydrodynamic systems.

The other concepts presented, while significant in their contexts, do not describe this specific relationship in fluid dynamics as accurately as Bernoulli's principle. Archimedes' principle relates to buoyancy, Newton's second law pertains to motion and forces, and Pascal's law deals with fluid pressure and transmission within confined fluids. None of these principles directly address the flow dynamics experienced in a convergent duct.