The formula to determine the lift force FL, produced on a rotating circular cylinder per unit length in a uniform flow is: (where u = Free stream velocity, r = Circulation and ρ = Density of the fluid)

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  1. FL = ρur
  2. FL = ρ/2u r
  3. FL = ρu / r
  4. FL = ρ/ u r

Answer (Detailed Solution Below)

Option 1 : FL = ρur
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Concept:

According to the Kutta–Joukowski theorem, the lift force per unit length on a rotating circular cylinder in a uniform flow is given by:

\( F_L = \rho u \Gamma \)

Where:

\( F_L \) = Lift force per unit length

\( \rho \) = Density of the fluid

\( u \) = Free stream velocity

\( \Gamma \) (denoted as r in the question) = Circulation

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