Module 4 :
Lecture 12 : Vortex Stretching
 

 

Outside the viscous sublayer the shear stress will be produced entirely by turbulent eddies. Here "l" may be taken equal to the local distance x2. Then

 

or

(12.7)

 

where is the constant of proportionality.

(12.8)

 

using (12.3) and (12.7) we obtain

(12.9)

 

This is a positive quantity. Now from (12.8) it can be concluded that

(12.7)

 

Thus the vorticity transport term

 

 

represents a decleration effect. The equilibrium is maintained by the voretx stretching force.

(12.7)
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