Chapter 9 : Laminar Boundary Layers
Lecture 29 :


Wall Shear Stress

  • With the profile known, wall shear can be evaluated as
 

Now,       
or  
or   
     from Table 28.1  


         (Wall Shear Stress)
(29.1a)

and the local skin friction coefficient is

  • Substituting from (29.1a) we get

                                  
             (Skin Friction Coefficient)
    (29.1b)

  • In 1951, Liepmann and Dhawan , measured the shearing stress on a flat plate directly. Their results showed a striking confirmation of Eq. (29.1).
  • Total frictional force per unit width for the plate of length L is
 
 

or                 

 

 

or          

(29.2)

and the average skin friction coefficient is

(29.3)

where, .

For a flat plate of length L in the streamwise direction and width w perpendicular to the flow, the Drag D would be

 (29.4)