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Bernoulli's equation



I'm curious if anyone out there has a good explanation (appropriate
for introductory algebra-based physics students) of why there is a
decrease in pressure with an increase in velocity from a molecular
point of view (a kinetic theory of gases kind of argument).

I explain to the class how Bernoulli's equation is a statement of
conservation of energy (the pressure-volume work, gravitational
potential energy, and kinetic energy terms) and the students see how
it follows from the equation that one must have a decrease in
pressure accompany an increase in velocity. I also invoke an
argument similar to Epstein's (from his book Thinking Physics) in
which one imagines a tiny submarine moving in the fluid inside a
pipe: when there's a transition from a large diameter pipe to a
smaller diameter, the fluid of course increases in speed (continuity
equation), and one can argue that there must be a difference in
pressure (a net force) to accelerate the submarine and fluid. Thus
the pressure must be less in the region where the pipe gets smaller
compared to the region behind the sub where the pipe is larger.

I'd like to understand this from a microscopic point of view. Does
the equipartition theorem come into play here? I look forward to
reading your ideas.

Thanks, Wolfgang