Question

Please explain and prove the Bernouli theorem.​

Answer 1

Answer:

Consider a fluid of negligible viscosity moving with laminar flow, as shown in Figure 1. This is Bernoulli's theorem You can see that if there is a increase in velocity there must be a decrease of pressure and vice versa.

Answer 2

Answer:

It states that the total energy (pressure energy, potential energy and kinetic energy) of an incompressible and non-viscous fluid in steady flow through a pipe remains constant throughout the flow, assuming that there is no source or sink of the fluid along the length of the pipe.

$\frac{mgh+\frac{1}{2}mv²+\frac{mP}{ρ} }{m}=constant$

$\frac{m(gh+\frac{1}{2}v²+\frac{P}{ρ} )}{m}=constant$

if the fluid flow is horizontal h is constant

$\frac{1}{2}v²+\frac{P}{ρ}=constant$

As velocity of fluid increases pressure decreses.