Saved Bookmarks
| 1. |
State Bernoulli\'s theorem |
|
Answer» Statement: For the streamline flow of non-viscous and incompressible liquid, the sum of potential energy, kinetic energy and pressure energy is constant.Proof: Let us consider the ideal liquid of density ρ flowing through the pipe LM of varying cross-section. Let P1\xa0and P2\xa0be the pressures at ends L and M and A1\xa0and A2\xa0be the areas of cross-sections at ends L and M respectively. Let the liquid enter with velocity V1\xa0and leave with velocity v2. Let A1\xa0> A2. By equation of continuity, Bernoulli’s principle states that The total mechanical energy of the moving fluid comprising the gravitational potential energy of elevation, the energy associated with the fluid pressure and the kinetic energy of the fluid motion, remains constant.Bernoulli’s equation formula is a relation between pressure,\xa0kinetic energy, and gravitational potential energy of a fluid in a container.The formula for Bernoulli’s principle is given as:\tp +\xa012\xa0ρ v2\xa0+\xa0ρgh =constant\tWhere,\tp is the pressure exerted by the fluid\tv is the velocity of the fluid\tρ is the density of the fluid\th is the height of the container |
|