CFD Online Logo CFD Online URL
www.cfd-online.com
[Sponsors]
Home > Forums > General Forums > Main CFD Forum

Shear Stress on Rough Surface

Register Blogs Community New Posts Updated Threads Search

Reply
 
LinkBack Thread Tools Search this Thread Display Modes
Old   October 7, 2021, 05:45
Default Shear Stress on Rough Surface
  #1
New Member
 
Boqi Ren
Join Date: Aug 2018
Posts: 2
Rep Power: 0
Sylorn is on a distinguished road
Hi everyone
I'm writing here to ask some questions about the calculation of wall shear stress on the rough surface.

As we know, the definition of wall shear stress is

\tau_w= \mu (\frac{\partial u}{\partial y})_{y=0}

so for the rough surface, can I calculate the shear stress in the following way?
\tau_w= \mu (\frac{\partial u_t}{\partial n})_{y=0}
Where t means the tangential direction of the local surface, and n means the normal direction.

And, could you recommend some relative reference to me?
THANK YOU VERY MUCH!

Last edited by Sylorn; October 7, 2021 at 05:57. Reason: to correct the formulations
Sylorn is offline   Reply With Quote

Old   October 7, 2021, 12:05
Default
  #2
Senior Member
 
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,849
Rep Power: 73
FMDenaro has a spectacular aura aboutFMDenaro has a spectacular aura aboutFMDenaro has a spectacular aura about
Quote:
Originally Posted by Sylorn View Post
Hi everyone
I'm writing here to ask some questions about the calculation of wall shear stress on the rough surface.

As we know, the definition of wall shear stress is

\tau_w= \mu (\frac{\partial u}{\partial y})_{y=0}

so for the rough surface, can I calculate the shear stress in the following way?
\tau_w= \mu (\frac{\partial u_t}{\partial n})_{y=0}
Where t means the tangential direction of the local surface, and n means the normal direction.

And, could you recommend some relative reference to me?
THANK YOU VERY MUCH!



Since the surface is rough you should evaluate the normal derivative at x=x(s), y=y(s), not at y=0.
The action of the stress can be better see if you write the contribution of the stress tensor on a finite surface:


Int[S] n.Td dS


Td being the deviatoric part having zero trace.
FMDenaro is offline   Reply With Quote

Old   October 8, 2021, 00:45
Default
  #3
New Member
 
Boqi Ren
Join Date: Aug 2018
Posts: 2
Rep Power: 0
Sylorn is on a distinguished road
Quote:
Originally Posted by FMDenaro View Post
Since the surface is rough you should evaluate the normal derivative at x=x(s), y=y(s), not at y=0.
The action of the stress can be better see if you write the contribution of the stress tensor on a finite surface:


Int[S] n.Td dS


Td being the deviatoric part having zero trace.
FMDenaro, Thank you very much!
Yes, as you said, the wall shear stress should be on the wall, so in the second equation, y=0 is not correct.
But I still feel confused with \textbf{T}d. Could you explain this term in more detail?
Sylorn is offline   Reply With Quote

Old   October 8, 2021, 12:25
Default
  #4
Senior Member
 
Lucky
Join Date: Apr 2011
Location: Orlando, FL USA
Posts: 5,747
Rep Power: 66
LuckyTran has a spectacular aura aboutLuckyTran has a spectacular aura aboutLuckyTran has a spectacular aura about
Quote:
Originally Posted by Sylorn View Post
FMDenaro, Thank you very much!
Yes, as you said, the wall shear stress should be on the wall, so in the second equation, y=0 is not correct.
But I still feel confused with \textbf{T}d. Could you explain this term in more detail?

It's the tensor form of shear stress. du/dy the way Isaac Newton did it is for 1D.
LuckyTran is offline   Reply With Quote

Reply

Tags
rough wall, shear stress


Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are Off
Pingbacks are On
Refbacks are On


Similar Threads
Thread Thread Starter Forum Replies Last Post
Export Wall Shear Stress Data trooken FLUENT 6 February 5, 2019 16:09
Shear Stress Calculation in the flow. auburnuser FLOW-3D 11 May 12, 2018 14:49
Difference between Wall Shear Stress of No-slip and Rough Walls @E18 Main CFD Forum 2 March 5, 2018 12:57
How can I plot area averaged wall shear stress variation with time over a surface? Gourabc FLUENT 0 February 1, 2017 00:56
Fluid wall shear stress Sinead Kelly (Kelly) OpenFOAM Running, Solving & CFD 2 March 30, 2011 07:41


All times are GMT -4. The time now is 14:01.