To model a tornado, superimpose the stream function for a vortex (Eq. 6.91) and a source (Eq. 6.83). Assume that the circulation is 8000 m2 /s and the pressure at the radius of 40 m is 2 kPa less than atmospheric

Respuesta :

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