Question

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

Answer 1

The stream function for this potential flow is -4696.8

Step-by-step 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

`\Psi=-((\Gamma)/(2\pi))ln(r)`

Where, Γ = circulation

r = radius

Put the value into the formula

`\Psi=-(8000)/(2\pi)* ln(40)`

`\Psi=-4696.8`

Hence, The stream function for this potential flow is -4696.8