Inviscid (
μ
= 0)
2.
Incompressible
3.
Irrotational
•
It describes the flow around streamlined objects far away
from the object. (In the near field the boundary layer theory
is used)
•
This type of problems deals with more than one velocity
component, and function in more than one independent
variable.

Potential Flow
•
To solve them in an easy way conformal mapping is used.
•
So instead of solving N-S equations to get the velocity profile,
complex potential is used.
•
w(z) =
ϕ
(x, y) + i
ψ
(x, y)
•
Where:
1.
ϕ
(x, y) is the velocity potential
2.
ψ
(x, y) is the stream line function
3.
z = x + i y
= r e
i
θ
= r cos
θ
+ i sin
θ
•
The three forms of z are equivalent to each other, choose the
one that makes your solution easier !!

Potential Flow
•
For a given function to represent a potential flow:
1.
Cauchy-Riemann conditions
should be verified
2.
Ψ
= constant, represent the solid surface.