Connection between entropy and total pressure

Click For Summary
An increase in entropy is linked to a decrease in total stagnation pressure due to the effects of shear stress and friction. Shear stress contributes to entropy production and is involved in converting kinetic energy into internal energy, which affects the energy transport equations. Bernoulli's equation indicates that total pressure is a sum of static and dynamic pressure, where dynamic pressure relates to kinetic energy. Friction reduces total pressure while simultaneously increasing entropy, suggesting no direct equation connects these properties. Understanding the rate of entropy generation per unit volume involves recognizing these relationships in fluid dynamics.
obad
Messages
12
Reaction score
0
Hi guys,

I'm struggling to understand why an increase of entropy is directly linked with a decrease of total (stagnation) pressure. I have an idea, but I'm not sure if this is right.

My understanding of the problem is as follows:
Shear stress (friction) is a part of the entropy production term of the entropy transport equation. So when looking at this transport equation the role of friction is clear to me.
Furthermore shear stress is also contained in the source term of the kinetic energy and internal energy transport equation. Where friction converts kinetic energy into internal energy.
Now when looking at Bernoulli's equation, total pressure is a combination of the static and the dynamic pressure. Dynamic pressure is related to kinetic energy.

So could I say that friction simply reduces total pressure and increases entropy at the same time and there is actually no equation that describes a direct connection between these properties?

Cheers!
 
Science news on Phys.org
From your understanding, what is the equation (or equations) for the rate of entropy generation per unit volume?
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 22 ·
Replies
22
Views
6K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K