An application of Bernoulli's equation for fluid flow is found in

The correct option is Hydraulic press.

Bernoulli's equation is a fundamental formulation in fluid dynamics derived from the principle of conservation of energy for a flowing, incompressible, and non-viscous fluid. The equation establishes that the sum of pressure energy, kinetic energy per unit volume, and potential energy per unit volume remains constant along any streamline. The mathematical representation of Bernoulli's equation is given by:

$$P+\frac{1}{2}\rho v^2+\rho gh=\text{constant}$$

where:
• $P$ is the fluid pressure,
• $\rho$ is the density of the fluid,
• $v$ is the velocity of the fluid flow,
• $g$ is the acceleration due to gravity, and
• $h$ is the height or elevation above a reference level.

In a hydraulic press, the operation involves the transmission of force through a confined fluid. As the fluid moves from a narrow cylinder (where a small force is applied) to a wider cylinder (where a large force is exerted), it undergoes dynamic flow. Bernoulli's equation applies to this fluid flow by demonstrating how energy is preserved during the transition. The reduction in velocity in the wider section corresponds to an increase in static pressure, allowing the transmission of high pressures that enable the press to lift or compress heavy objects efficiently.