Question

The lift on a spinning circular cylinder in a freestream with a velocity of 30 m/s and at standard sea level conditions is 6 N/m of span. Calculate the circulation around the cylinder

Answer 1

The circulation around the cylinder is 0.163
`(m^(2) )/(s)`

Step-by-step explanation:

Given :

Velocity of spinning cylinder
`v = 30`
`(m)/(s)`

Sea level density
`\rho = 1.23`
`(kg)/(m^(3) )`

Sea level span
`L = 6`
`(N)/(m)`

Lift per unit circulation is given by,

`L = \rho v c`

Where
`c =` circulation around cylinder

`c = (L)/(\rho v)`

`c = (6)/(1.23 * 30)`

`c = 0.163`
`(m^(2) )/(s)`

Therefore, the circulation around the cylinder is 0.163
`(m^(2) )/(s)`