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jc91 said:
Bernoulli's equation is a fundamental equation in fluid dynamics that describes the relationship between pressure, velocity, and height in a fluid flow. It states that the sum of the pressure, kinetic energy, and potential energy per unit volume of a fluid remains constant along a streamline.
Bernoulli's equation can be used to solve a wide range of problems in fluid dynamics, including problems involving flow rate, pressure changes, and velocity changes. It can also be used to analyze the behavior of fluids in various systems, such as pipes, pumps, and airplanes.
The assumptions of Bernoulli's equation are that the fluid is incompressible, non-viscous, and steady-state. It also assumes that the flow is along a streamline, and that there is no external work being done on the fluid.
Bernoulli's equation can be applied to any fluid, as long as the assumptions hold true. However, it may not accurately describe certain fluids, such as gases or highly viscous fluids, which require more complex equations to model their behavior.
Bernoulli's equation can be derived from the principles of conservation of mass and energy, along with the fluid's equation of motion. It can also be derived from the Navier-Stokes equations, which describe the motion of fluids.
