Blasius Solution for Boundary Layer

Click For Summary
SUMMARY

The Blasius solution is applicable to internal flow in an underdeveloped pipe under specific conditions. It is valid in the entrance region where the boundary layer thickness is significantly smaller than the pipe radius, allowing the pipe wall to be treated as an infinite flat plate. The assumption of constant pressure across the flat plate (dP/dx = 0) does not hold true for pipe flow; however, the Blasius boundary layer thickness can still be utilized to determine when the boundary layers converge at the center of the pipe.

PREREQUISITES
  • Understanding of boundary layer theory
  • Familiarity with the Blasius solution and its derivation
  • Knowledge of internal flow dynamics in pipes
  • Concept of entrance region flow characteristics
NEXT STEPS
  • Research the application of the Blasius solution in pipe flow scenarios
  • Study the characteristics of boundary layer thickness in various flow regimes
  • Explore the concept of entrance region flow and its impact on boundary layers
  • Investigate alternative solutions for boundary layer analysis in non-constant pressure scenarios
USEFUL FOR

Fluid mechanics students, engineers working on pipe flow analysis, and researchers focusing on boundary layer behavior in internal flows.

ccrook
Messages
14
Reaction score
0
Is the Blasius solution valid for internal flow in an underdeveloped pipe? Can the function for the boundary layer thickness be used to calculate when the boundary layers will meet in the center of the pipe? I don't see how it could be valid since the assumption in its derivation is that pressure is constant across the flat plate, so dP/dx = 0 which is not true for pipe flow. Any thoughts?
 
Engineering news on Phys.org
It is valid for the portion of the entrance region in which the Blasius BL thickness is small compared to the radius of the pipe. In this region, the pipe wall looks like an infinite flat plate.
 

Similar threads

Replies
0
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
4
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 5 ·
Replies
5
Views
5K
  • · Replies 31 ·
2
Replies
31
Views
5K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 1 ·
Replies
1
Views
5K
Replies
12
Views
5K