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

Respuesta :

Answer:

The circulation around the cylinder is 0.163 [tex]\frac{m^{2} }{s}[/tex]

Explanation:

Given :

Velocity of spinning cylinder [tex]v = 30[/tex] [tex]\frac{m}{s}[/tex]

Sea level density [tex]\rho = 1.23[/tex] [tex]\frac{kg}{m^{3} }[/tex]

Sea level span [tex]L = 6[/tex] [tex]\frac{N}{m}[/tex]

Lift per unit circulation is given by,

  [tex]L = \rho v c[/tex]

Where [tex]c =[/tex] circulation around cylinder

   [tex]c = \frac{L}{\rho v}[/tex]

   [tex]c = \frac{6}{1.23 \times 30}[/tex]

   [tex]c = 0.163[/tex] [tex]\frac{m^{2} }{s}[/tex]

Therefore, the circulation around the cylinder is 0.163 [tex]\frac{m^{2} }{s}[/tex]