Understanding the Navier-Stokes Equations: Conservation of Momentum and More

  • Thread starter Thread starter hermano
  • Start date Start date
  • Tags Tags
    Navier-stokes
Click For Summary
The Navier-Stokes equations primarily focus on the conservation of momentum in fluid dynamics. They do not encompass the equations for conservation of mass, energy, or an equation of state. While the continuity equation addresses mass conservation, it is separate from the Navier-Stokes framework. The equations for energy conservation are also distinct from the Navier-Stokes equations. Understanding these distinctions is crucial for fluid mechanics analysis.
hermano
Messages
38
Reaction score
0
Hi,

Stupid question: the Navier-Stokes equations, do they only consist of the equations for a statement of the conservation of momentum or do they also include the equations for conservation of mass (continuity equation), conservation of energy and an equation of state?

Thanks.
 
Physics news on Phys.org
hermano said:
Hi,

Stupid question: the Navier-Stokes equations, do they only consist of the equations for a statement of the conservation of momentum or do they also include the equations for conservation of mass (continuity equation), conservation of energy and an equation of state?

Thanks.
Only conservation of momentum.
 
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 3 ·
Replies
3
Views
1K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
20
Views
6K
  • · Replies 1 ·
Replies
1
Views
5K
  • · Replies 4 ·
Replies
4
Views
9K
Replies
10
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
Replies
17
Views
3K