Question about direction of movement of water molecule

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SUMMARY

The discussion centers on the movement of water molecules in relation to a boat's motion, specifically when the boat moves to the left. It is established that, according to Newton's 3rd Law, the friction force exerted by water molecules on the boat results in a corresponding force on the water molecules, causing them to move left as well. The conversation also touches on the complexities introduced at higher speeds due to turbulence and vortices, and references Stoke's Law, specifically the formula \(F=6 \pi \eta vr\), while questioning its applicability under turbulent conditions.

PREREQUISITES
  • Understanding of Newton's 3rd Law of Motion
  • Familiarity with Stoke's Law and its formula
  • Knowledge of fluid dynamics concepts, including turbulence
  • Basic grasp of Reynolds number and its significance
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  • Research the application of Stoke's Law in various fluid flow conditions
  • Study the concept of Reynolds number and its impact on fluid dynamics
  • Explore the effects of turbulence on fluid motion and molecular behavior
  • Investigate the formation of vortices in fluid mechanics
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This discussion is beneficial for physics students, fluid dynamics researchers, and engineers interested in the behavior of fluids in motion, particularly in relation to forces and turbulence.

songoku
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Homework Statement
This is not homework. I want to ask about the direction of movement of water molecules at 1:44 from this video

https://www.youtube.com/watch?v=UVcyea3ZH54
Relevant Equations
Newton's 3rd Law
When the boat moves to the left, water molecules below it also move to the left.

Is it correct to say the reason is because of Newton's 3rd law? Water molecules provide friction force to the boat so force on boat by water molecules is to the right. By Newton's 3rd law, there will be force on water molecules by boat in opposite direction so the force on water will be to the left, then water molecules will move in the same direction as the boat.

Thanks
 
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Your description is pretty good, particularly for small speeds (small compared to what? is a good question). At higher speeds life gets much more complicated because of vortices and turbulence but one step at a time...
 
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hutchphd said:
Your description is pretty good, particularly for small speeds (small compared to what? is a good question). At higher speeds life gets much more complicated because of vortices and turbulence but one step at a time...
I know the formula of Stoke's law
$$F=6 \pi \eta vr$$

Is there a speed limit to apply Stoke's law?

And will turbulence change the direction of motion of water molecules so the water molecules may move to opposite direction (to the right)?

Thanks
 
Last edited:
Look up Reynold's number. This depends upon viscosity and speed and size in an interesting and complicated fashion. Not easy stuff.
 
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Thank you very much hutchphd
 
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