Engineering How to Approach the Prandtl Boundary Layer Equation for Steady Laminar Flow?

Click For Summary
The discussion focuses on the correct approach to the Prandtl Boundary Layer Equation for steady laminar flow. It emphasizes that the Bernoulli equation is inappropriate for boundary layer analysis since it applies only to inviscid flow, where no boundary layer can exist. However, the Bernoulli equation is valid in the free stream, away from the boundary layer. Participants highlight the importance of understanding the distinction between inviscid flow and the boundary layer concept. Overall, a proper understanding of these principles is crucial for accurately applying the Prandtl Boundary Layer Equation.
sakif
Messages
1
Reaction score
1
Homework Statement
Prove the following statement
Relevant Equations
Prandtl boundary layer equation for a two dimensional steady laminar flow of incompressible fluid over a semi infinite plate
I have tried to approach in the following way
IMG_20230120_052745.jpg

IMG_20230120_052751.jpg


I am stuck. How should I approach this next.please help
 

Attachments

  • image__01.png
    image__01.png
    12.6 KB · Views: 180
Physics news on Phys.org
I see you try to use the Bernoulli equation. But that is never going to work since that equation is only valid for inviscid flow. And in an inviscid flow no boundary layer can exist.
 
Arjan82 said:
I see you try to use the Bernoulli equation. But that is never going to work since that equation is only valid for inviscid flow. And in an inviscid flow no boundary layer can exist.
Far from the boundary, in the free stream, it is valid to use the Bernoulli equation. That's what boundary layer theory is all about.
 
I have a question that I couldn’t fully understand its logic. The professor asked us to calculate the shear resistance and moment about the X and Y axis, using the given cross-section and the values of compressive and tensile stresses. I understand how to get the moment, but I’m confused about how to find the shear resistance from these stresses. Could you explain or clarify the method?

Similar threads

  • · Replies 13 ·
Replies
13
Views
2K
Replies
3
Views
2K
Replies
31
Views
3K
Replies
1
Views
2K
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 25 ·
Replies
25
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 2 ·
Replies
2
Views
4K