Bernoulli's Equation is a fundamental principle in fluid mechanics that relates the pressure, velocity, and elevation of a fluid at a point in a moving fluid. It states that the sum of the pressure, kinetic energy, and potential energy per unit volume of a fluid is constant along a streamline.
Bernoulli's Equation was developed by Swiss mathematician and physicist Daniel Bernoulli in the 18th century. He first published his work in his book "Hydrodynamica" in 1738.
Bernoulli's Equation is applicable to all inviscid fluids, meaning fluids that have no viscosity or internal friction. This includes fluids such as air, water, and other gases and liquids.
Bernoulli's Equation has many practical applications in engineering, physics, and other fields. Some examples include aircraft and automobile design, fluid flow in pipes and channels, and even the flight of birds and insects. It is also used in the design of airfoils, pumps, and turbines.
Bernoulli's Equation has some limitations, including the assumption of inviscid flow and incompressible fluids. It also does not account for factors such as turbulence, compressibility, and boundary effects. In certain situations, these limitations may lead to inaccurate results, and more complex equations must be used.