Question

Bernoulli’s theorem is important in the field of:

Answer 1

Bernoulli’s principle states that as the speed of a moving fluid increases (liquid or gas), the pressure within the fluid decreases.
Though Bernoulli deduced the law, it was Leonhard Euler who derived Bernoulli’s equation in its usual form in the year$1752$ .
We can derive Bernoulli’s principle from the principle of conservation energy.

Complete step-by-step solution:
Bernoulli’s principle is: 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 is the relationship between pressure and kinetic energy and gravitational potential energy of a fluid in the container.
The formula of the Bernoulli’s is written as follows,
$\dfrac{{\rho {v^2}}}{{2p{\text{ }}}} + \;12\;\rho {\text{ }}{v^2}\; + \;\rho gh{\text{ }} = constant$
Where,
$P$ is the pressure
$V$ is the velocity of the fluid
$\rho {\text{ }}$is the density of the fluid
$h$ is the height of the container.
It gives a good balance between pressure, velocity, and elevation.
Bernoulli’s theorem is important in the stream of the flow of liquids.
Bernoulli’s principle can be described as ‘total pressure is constant everywhere in the fluid flow’. For a streamlined fluid flow, the sum of the pressure ($P$), the kinetic energy per unit volume ($\dfrac{{\rho {v^2}}}{{2{\text{ }}}}$), and the potential energy per unit volume ($\rho gh$) remain constant.

Note: Thins Bernoulli's equation can be used in many application, The attraction between two closely parallel moving boats (or buses)
Working of an Aeroplane also used Bernoulli's theorem
Blowing off roofs by wind storms.