The Bernoulli principle states that a rise in pressure in a flowing fluid must always be accompanied by a decrease in the speed, and conversely, an increase in the speed of the fluid results in a decrease in the pressure (Bernoulli's Principle). This equation is derived from the principle of conservation of energy in that the total mechanical energy of an object remains constant as the object moves, provided that the net work done by external, non-conservative forces (e.g. friction) is zero. The usual form of the Bernoulli equation is
= velocity at point p
= pressure
= density
= acceleration of gravity
= height above an arbitrary reference level
Because there are many basic assumptions involved in the derivation of Bernoulli’s equation, it is important to remember the following:
- It assumes viscous (friction) effects are negligible;
- It assumes the flow is steady;
- The equation applies along a streamline;
- It assumes the fluid to be incompressible; and
-......
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