3 Law on Reynolds momentum transport equation

AI Thread Summary
The discussion centers on the relationship between the Reynolds Equation of Momentum and Newton's Third Law of Action-Reaction forces. It questions whether the forces between two points in a fluid can be equal, specifically if F12 equals F21. One participant argues that discussing forces relative to individual particles lacks meaning, emphasizing that Newton's Third Law applies to the entire flow rather than isolated points. The conversation suggests that understanding momentum transport in fluids requires considering the equilibrium of forces across the flow. Overall, the connection between fluid dynamics and classical mechanics is explored through this lens.
Plott029
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I want to know how Reynolds Equation of Momentum is accord with the 3rd law of Newton, the law of action-reaction forces. For an ideal fluid, we have that

<br /> \frac {\partial m \vec {v}} {\partial t} = \vec v [ \frac {\partial {\rho }} {\partial t} + \nabla [ \rho \vec v ] + \rho [\frac {\partial {\vec {v}} {\partial t} + ( \vec {v} \dot \nabla ) \vec v <br /> [/itex]<br /> <br /> \frac {\partial m \vec {v}} {\partial t} = \vec v [ \frac {\partial {\rho }} {\partial t} + \nabla [ \rho \vec v ] + \rho [\frac {\partial {\vec {v}} {\partial t} + ( \vec {v} \dot \nabla ) \vec v<br /> <br /> Takint 2 points into the flow, I want to know if its posible to make that F12 = F21<br /> <br /> Is this posible, or is a nonsense?
 
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Thanks arildno.

I think that has not sense talk about force relative to one particle from another, and third law is about all flow, which every mass point with equilibrium of forces. Is this?
 
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