Answer:
The stream function for this potential flow is -4696.8
Explanation:
Given that,
Circulation = 8000 m²/s
Radius = 40 m
Pressure = 2 kPa
Suppose the determine the stream function for this potential flow
We need to calculate the stream function
Using formula of stream function
[tex]\Psi=-(\dfrac{\Gamma}{2\pi})ln(r)[/tex]
Where, Γ = circulation
r = radius
Put the value into the formula
[tex]\Psi=-\dfrac{8000}{2\pi}\times ln(40)[/tex]
[tex]\Psi=-4696.8[/tex]
Hence, The stream function for this potential flow is -4696.8