Bernoulli equation deals with the law of conservation ofa. momentumb. workc. forced.energye.massClear my choice
Question
Bernoulli equation deals with the law of conservation of
- a. momentum
- b. work
- c. force
- d. energy
- e. mass
Solution
The Bernoulli equation is a principle in fluid dynamics that describes the behavior of a fluid moving along a streamline. It is derived from the principle of conservation of energy, particularly as it applies to flowing fluids. The equation relates the pressure, velocity, and height of a fluid, indicating that for an incompressible, frictionless fluid, the total mechanical energy remains constant.
Answer
The correct choice from the options provided is:
c. energy
This is because the Bernoulli equation reflects the conservation of mechanical energy within a flowing fluid, encompassing kinetic energy, potential energy, and pressure energy. The equation typically is expressed as: Where is the fluid pressure, is the fluid density, is the fluid velocity, is acceleration due to gravity, and is the height above a reference level. The sum of these forms of energy remains constant along a streamline, highlighting the importance of energy conservation in fluid mechanics.
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