Question

Bernoulli's theorem is important in the field of

Answer 1

Bernoulli's theorem:

1. The Bernoulli equation states that the total energy per unit mass of flowing fluid is the sum of the kinetic, potential, and pressure energies and is equal to a constant value.
2. Mathematically, $\frac{P}{\rho }+gh+\frac{1}{2}{v}^2=$Constant, where $P,\rho ,h,v$ are pressure, density, height, and velocity respectively.
3. Bernoulli’s theorem plays an important role in the field of the flow of liquids.
4. In the case of streamlined fluid flow, the sum of the quantities like pressure $\left(P\right)$, the kinetic energy per unit volume $\raisebox{1ex}{$\rho v^2$}\!\left/ \!\raisebox{-1ex}{$2$}\right.$ and the potential energy $\left(\rho gh\right)$ remain constant.
5. Application of Bernoulli’s theorem is given below:

6.1. The existing attraction between two closely parallel moving boats.

6.2. Principle of working of an Aeroplane

6.3. Blowing off roofs by wind and thunderstorms.

Hence, Bernoulli's theorem plays an important role in the field of the flow of liquids.