Lift and Drag for Flow About a Rotating Cylinder

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The pressure at large distances from the cylinder is uniform and given by p0.
 Deploying Bernoulli's equation between the points at infinity and on the boundary of the cylinder,
(23.9)
Hence,                                           
(23.10)
From Eqs (23.9) and (23.10) we can write
(23.11)

The lift may calculated as
 
or,    
(23.12)
The drag force , which includes the multiplication by cosθ (and integration over 2π) is zero.
  • Thus the inviscid flow also demonstrates lift.
  •  lift becomes a simple formula involving only the density of the medium, free stream velocity and circulation.
  •  in two dimensional incompressible steady flow about a boundary of any shape, the lift is always a product of these three quantities.----- Kutta- Joukowski theorem