expected increase and found that it corresponded to Boyle's.
experimental law.
At the time of Bernoulli's discovery, his work was.
generally ignored. The lack of general attention was due to .
the unclear knowledge of gases. Yet more than a century.
later, his work simultaneously clarified the main problems.
of the nature of gases, heat and chemistry. For Bernoulli,.
in effect, had made two enormous leaps in his thinking for.
which most scientists were not ready to take. First, he.
illucidates, the direct equivalence of heat and internal.
molecular motion, ignoring any interactions between the two.
Second, he confirmed the idea that a well-defined numerical.
relationship, such as Boyle's simple law, could be deduced.
from a chaotic picture of randomly moving particles.
Bernoulli's principle was centerd around the notion.
that we suppose a small portion of liquid flow from one.
point to another point, and that change of position is.
affected without incurring any waste of energy. From the.
principle of conservation of energy, it may be asserted that.
the total energy is not changed during the displacement. .
This statement is known as Bernoulli's theorem and is often.
expressed as:.
P + 1/2 pv2 + pgy = constant.
Bernoulli's equation states that the sum of the pressure.
(P), the kinetic energy per volume (1/2 pv2), and the.
potential energy per unit volume (pgy) have the same value.
at all points along a streamline. Using Bernoulli's law,.
because there is no waste of energy during the passage of.
the liquid, the total energies at each three places are.
equal. If the fluid is incompressible then the internal.
energy is the same, which proves, in turn, that Bernoulli's.
equation holds true along any streamline.
Bernoulli's foregoing principle explains a number of.
phenomena about the behavior of liquids which, at first,.
seem strange. Suppose two ships are steaming side by side.
in still water: The relative motion of the ships with.
respect to the water will remain unchanged if the ships are.