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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
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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: P+12ρv2+ρgh=constant P + \frac{1}{2} \rho v^2 + \rho gh = \text{constant} Where PP is the fluid pressure, ρ\rho is the fluid density, vv is the fluid velocity, gg is acceleration due to gravity, and hh 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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