Intuitive explanation of Fanno Flow

  • Thread starter Thread starter Earhart
  • Start date Start date
  • Tags Tags
    Explanation Flow
Click For Summary
SUMMARY

The discussion centers on the Fanno flow equations and the counter-intuitive effects of friction on subsonic compressible gas flow. It is established that friction accelerates and cools the flow due to the formation of boundary layers, which create a virtual narrowing of the duct. This narrowing leads to increased velocity and decreased pressure, temperature, and density in subsonic conditions. The relationship is reversed in supersonic flow, highlighting the complexities of compressible fluid dynamics.

PREREQUISITES
  • Understanding of Fanno flow equations
  • Knowledge of compressible fluid dynamics
  • Familiarity with boundary layer theory
  • Concept of Mach number and its implications
NEXT STEPS
  • Study the implications of boundary layer formation in compressible flows
  • Explore the Mach-area relationship in supersonic flow
  • Investigate the effects of viscous dissipation in fluid dynamics
  • Learn about the energy equation in the context of adiabatic flows
USEFUL FOR

Fluid dynamics engineers, aerospace engineers, and students studying compressible flow phenomena will benefit from this discussion, particularly those interested in the effects of friction on flow characteristics.

Earhart
Messages
2
Reaction score
1
TL;DR
Can anyone explain how is it that friction can both accelerate and cool an adiabatic subsonic gas flow, as it does in Fanno Flow?
OK, I have read all the Fanno flow equations, I understand mass and enthalpy conservation for adiabatic flows give the result that friction causes Mach number go to 1... But I cannot think of a physical explanation for the counter-intuitive fact that friction both accelerates and cools the subsonic flow of a compressible gas. Can someone give an INTUITIVE explanation of how this works? Taking also into account that, for an incompressible adiabatic pipe flow (which should be the limit case for very low Mach numbers), viscous friction work (viscous dissipation) is converted to heat, which raises the fluid temperature, according to the energy equation.
Thanks a lot to anyone who can help me understand this.
 
Engineering news on Phys.org
It's a surprisingly straightforward answer, but the key here is boundary layers. In a real flow, a boundary layer forms, leading to a displacement thickness that grows in the downstream direction. That results in a virtual narrowing of the duct. For a subsonic flow, that means an increase in velocity, which in turn means a decrease in pressure, temperature and density.

Since the Mach-area relationship is reversed for supersonic flow, the opposite happens as a result of the same virtual constriction.
 
  • Like
Likes Lnewqban and Earhart
This is the answer I was looking for, which I could not find in textbooks. As you say, it is surprisingly straightforward. Thank you very much!
 
Had my central air system checked when it sortta wasn't working. I guess I hadn't replaced the filter. Guy suggested I might want to get a UV filter accessory. He said it would "kill bugs and particulates". I know UV can kill the former, not sure how he thinks it's gonna murder the latter. Now I'm finding out there's more than one type of UV filter: one for the air flow and one for the coil. He was suggesting we might get one for the air flow, but now we'll have to change the bulb...

Similar threads

Replies
0
Views
2K
  • · Replies 31 ·
2
Replies
31
Views
4K
Replies
3
Views
2K
  • · Replies 45 ·
2
Replies
45
Views
6K
  • · Replies 20 ·
Replies
20
Views
4K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 11 ·
Replies
11
Views
8K