Module 6 :
Lecture 20: Turbulent Jet (Continued)
 


From Eqn. (19.1), we can write

 

or

(20.1)

 

This corresponds to a stream function

(20.2)

 

The expression for yields



(20.3)


(20.4)


 

Here the prime (´) denotes derivative with respect to the independent variables, the quantity can be evaluated in the following way.



 
  

 
  

 
   (20.5)

 

 

We can choose y =0 line as a streamline and then we can write ψ(x ,0)=0. This entails F (0)=0.