(a) Line = constant is a streamline

Let us consider a line given by $ \psi = C$, a constant as shown in Fig. 4.3. We have

$\displaystyle \psi = C$
   
i.e.,
   
giving
   
  -vdx + udy = 0  after substituting for etc.    
(4.21)

Going back to Eqn. 4.21, this is the equation to a streamline. What we have proved then is that =constant line is a streamline of the flow. Alternately equation to a streamline is given by = constant.

Figure 4.3 : A Stream Line in A Flow

 



(c) Aerospace, Mechanical & Mechatronic Engg. 2005
University of Sydney