Bernoulli Equation
The Bernoulli Equation is a fundamental principle in fluid dynamics that describes the relationship between pressure, velocity, and elevation in a flowing fluid. It states that in a steady, incompressible flow with no friction, the total mechanical energy of the fluid remains constant. This means that as the speed of the fluid increases, its pressure decreases, and vice versa.
The equation is often expressed as P + \frac12 \rho v^2 + \rho gh = \textconstant , where P is the fluid pressure, \rho is the fluid density, v is the flow velocity, g is the acceleration due to gravity, and h is the height above a reference point. The Bernoulli Equation is widely used in various applications, including aerodynamics and hydraulics.