Question about boundary layer growth in convergent and divergent ducts

Click For Summary
SUMMARY

The discussion focuses on the growth of boundary layers in convergent and divergent ducts under subsonic flow conditions (M < 1). In a convergent duct, the adverse pressure gradient leads to a decrease in boundary layer thickness, while in a divergent duct, the positive (unfavorable) pressure gradient results in an increase in boundary layer thickness. The relationship between pressure gradients and boundary layer behavior is crucial for understanding flow dynamics in these duct configurations.

PREREQUISITES
  • Understanding of fluid dynamics principles, specifically boundary layer theory.
  • Knowledge of subsonic flow characteristics and area-velocity relations.
  • Familiarity with pressure gradient effects on flow behavior.
  • Basic concepts of convergent-divergent nozzle design.
NEXT STEPS
  • Research "Boundary Layer Theory" to understand its implications in fluid dynamics.
  • Study "Pressure Gradient Effects on Boundary Layers" for deeper insights into flow behavior.
  • Examine "Convergent-Divergent Nozzle Design" to grasp practical applications in engineering.
  • Learn about "Computational Fluid Dynamics (CFD) simulations" to model boundary layer growth in ducts.
USEFUL FOR

Aerospace engineers, fluid dynamics researchers, and students studying flow behavior in duct systems will benefit from this discussion.

Master1022
Messages
590
Reaction score
116
TL;DR
How does a boundary layer grow in a convergent duct in subsonic flow? How does this compare to the growth of a boundary layer in a divergent duct in subsonic flow?
Hi,

I was recently reading about convergent-divergent nozzles and was wondering about how boundary layers grow in them.

Question: How does a boundary layer grow in a convergent duct in subsonic flow? How does this compare to the growth of a boundary layer in a divergent duct in subsonic flow?

Given that we are in subsonic flow, ## M < 1 ## and therefore we know from the area-velocity relations that subsonic flow increases speed in the convergent section and decreases speed in the divergent section. I am not really sure what the next steps would be...

Do I need to make arguments about the pressure gradients in the two sections? For example, in the diverging section, there is a positive (unfavorable). This then decreases the free-stream velocity, increases the boundary layer thickness, and decreases the wall shear stress (source: here). Then we could make the opposite argument for the convergent section where there is an adverse pressure gradient which would decrease the boundary layer thickness.

Is this correct?

Any guidance would be greatly appreciated.
 
Engineering news on Phys.org
That all sounds pretty good to me.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
5K
Replies
3
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 7 ·
Replies
7
Views
9K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K