3 Law on Reynolds momentum transport equation

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SUMMARY

The discussion centers on the relationship between the Reynolds Equation of Momentum and Newton's Third Law of Motion, specifically regarding action-reaction forces in fluid dynamics. The equation presented is crucial for analyzing momentum transport in ideal fluids. Participants debate whether forces between two points in a flow can be equal (F12 = F21), concluding that discussing forces relative to individual particles lacks relevance, as the Third Law applies to the entire flow system rather than isolated points.

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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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