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The Bernoulli Principle (or rather equation) is obtained from
conservation of energy applied to the fluid.
Epstein also makes a
plausible argument (in his Thinking Physics book) as to why the
faster moving fluid has a lower pressure than the slower moving fluid
from Newton's 2nd law -- imagine being in a tiny submarine moving
along with the slow moving fluid; as you move into the region where
the fluid is moving faster, you are accelerated in that direction and
therefore there must be a net force on the sub in that direction.
My question is this -- can one make an argument about what the
pressure difference ought to be from a molecular motion point of
view? And I'm not talking about a detailed kinetic theory of gases
derivation but rather a plausible argument that could be used in an
introductory physics course.