- #1
tmox
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Good evening everyone.
Can you tell me if it is possible to mathematically derive the Bernoulli principle from a microscopic analysis?
In particular, in the hypothesis of an incompressible stationary flow, at a constant altitude, it states that:
P + 0.5ρV^2 = cost
Well, in textbooks this report is generally derived through considerations related to work and kinetic energy. The result is that, in order for the flow to remain stationary under the assumed conditions, it is necessary that as the speed increases the pressure decreases in a quadratic manner. How to demonstrate this fact on a molecular scale? How to convince us of the fact that at the microscopic level an increase in the average speed of the particles reduces the pressure in a quadratic way?
Thank you so much!
Can you tell me if it is possible to mathematically derive the Bernoulli principle from a microscopic analysis?
In particular, in the hypothesis of an incompressible stationary flow, at a constant altitude, it states that:
P + 0.5ρV^2 = cost
Well, in textbooks this report is generally derived through considerations related to work and kinetic energy. The result is that, in order for the flow to remain stationary under the assumed conditions, it is necessary that as the speed increases the pressure decreases in a quadratic manner. How to demonstrate this fact on a molecular scale? How to convince us of the fact that at the microscopic level an increase in the average speed of the particles reduces the pressure in a quadratic way?
Thank you so much!