Undergrad Claude Naiver work on Navier-Stokes equations

  • Thread starter Thread starter user079622
  • Start date Start date
  • Tags Tags
    equations Stokes
Click For Summary
Claude Navier's two works on fluid motion, "Sur les lois des mouvements des fluides, en ayant égard à l’adhésion des molecules" (memoire 1) and "Sur Les Lois du Mouvement des Fluides" (memoire 2), were both written in 1821, with the second published in 1822. Memoire 1 is significant for introducing the viscous term μ∇²u, which is crucial for understanding fluid dynamics. However, there is difficulty in locating a PDF of memoire 1, as it appears to be unpublished. The formulation discussed in the thread aligns with Navier's contributions in memoire 1, although the exact notation may differ. Overall, these works laid foundational principles for the Navier-Stokes equations.
user079622
Messages
449
Reaction score
29
I am interested what are main differences/news in two Claude Navier works "Sur les lois des mouvements des fluides, en ayant égard à l’adhésion des molecules"- memoire 1 and "Sur Les Lois du Mouvement des Fluides" memoire-2?

Are both works written(not published) in 1821? Does memoire 1 introduced visocus term μ∇2u?

I cant find pdf of memoire 1..

"Sur Les Lois du Mouvement des Fluides"
https://perso.crans.org/epalle/M2/EC/Histoire/Navier1822MemoireSurLesLoisDuMouvementDesFluides.pdf

Is this formulation(dont have to be same notation) what Navier introduced in 1821 memoire 1?
0bZdvG1C.jpg
 
Last edited:
Physics news on Phys.org
Thread 'What is the pressure of trapped air inside this tube?'
As you can see from the picture, i have an uneven U-shaped tube, sealed at the short end. I fill the tube with water and i seal it. So the short side is filled with water and the long side ends up containg water and trapped air. Now the tube is sealed on both sides and i turn it in such a way that the traped air moves at the short side. Are my claims about pressure in senarios A & B correct? What is the pressure for all points in senario C? (My question is basically coming from watching...

Similar threads

  • · Replies 18 ·
Replies
18
Views
2K
Replies
20
Views
6K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K