Question

bernoulli's theorem is based on?

Answer 1

Bernoulli theorem :- at a point along the flow of a fluid , its speed , pressure at that point and the height of that point above a reference level are related using Bernoulli theorem.
in fluid it is just the application of work -energy theorem and hence can be considered to be a statement of the conservation of energy

at all the point along a streamline of an ideal liquid , the sum of pressure head , the gravitational head and the velocity head remains constant.

e.g.
p/rg +v^2/2g +h=constant
where p =pressure of fluid at a point
r =density of fluid
h =height of the point above the reference level .

we above see equation , this is Bernoulli equation .
this equation actually based on Leibniz differential equation .