Bernoulli's Theorem And Its Application

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Uploaded by on Apr 26, 2010

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Bernoulli's principle states that for an inviscid flow, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy.[1][2] Bernoulli's principle is named after the Dutch-Swiss mathematician Daniel Bernoulli who published his principle in his book Hydrodynamica in 1738.
Bernoulli's principle can be applied to various types of fluid flow, resulting in what is loosely denoted as Bernoulli's equation. In fact, there are different forms of the Bernoulli equation for different types of flow. The simple form of Bernoulli's principle is valid for incompressible flows (e.g. most liquid flows) and also for compressible flows (e.g. gases) moving at low Mach numbers. More advanced forms may in some cases be applied to compressible flows at higher Mach numbers (see the derivations of the Bernoulli equation).
Bernoulli's principle can be derived from the principle of conservation of energy. This states that in a steady flow the sum of all forms of mechanical energy in a fluid along a streamline is the same at all points on that streamline. This requires that the sum of kinetic energy and potential energy remain constant. If the fluid is flowing out of a reservoir the sum of all forms of energy is the same on all streamlines because in a reservoir the energy per unit mass (the sum of pressure and gravitational potential ρ g h) is the same everywhere.
Fluid particles are subject only to pressure and their own weight. If a fluid is flowing horizontally and along a section of a streamline, where the speed increases it can only be because the fluid on that section has moved from a region of higher pressure to a region of lower pressure; and if its speed decreases, it can only be because it has moved from a region of lower pressure to a region of higher pressure. Consequently, within a fluid flowing horizontally, the highest speed occurs where the pressure is lowest, and the lowest speed occurs where the pressure is highest.

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  • i do really have a very good example and so easy to understand that theory.. well that's is so good to apply in hydraulics..

  • Nice vid..keep up the good work...

  • The way she says pressure....pisses me off but amazing explanation Thanks!!

  • @rbmaserang No problem. Would you be kind enough to reply while watching the video again?

  • @raydredX i forgot about this video and the annoying head splitting broken accent chaps my ass thanks for your comment.

  • @rbmaserang I think that may be the answer to hunger in the world.

  • tutor vista is the bestest and it gives a simpule study\

  • can you actually do this? because i thought it only worked with air becuase the air moves around the ball. a demonstration vid in real life would gain major props

  • i went to highschool withis guy fuckin genius

  • @rbmaserang Don't be a pillock

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