RE: Find the circulation around a spinning circular cylinder in free stream flow of velocity (40,m/s) at a standard sea level conditions, if the lift produced by the cylinder is (8,N/m) of span.

Find the circulation around a spinning circular cylinder in free stream flow of velocity 40\,m/s at a standard sea level conditions, if the lift produced by the cylinder is 8\,N/m of span.

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Lift per unit span produced by a circular cylinder with circulation, \tau,  is  L^\prime=\rho _{\infty} v_{\infty }\tau This is also called the Kutta-Joukowski theorem. A spinning cylinder has a higher velocity at the top surface and a lower velocity at the bottom surface. Therefore, pressure at the top surface of the cylinder is lower than the bottom. This pressure difference creates a net upward force, which is called lift.

Lift produced on spinning cylinderLift produced on spinning cylinder

Since,L^{\prime}=\rho _{\infty} v_{\infty }\tau\Rightarrow 8=1.225\times 40\times \tau\Rightarrow \tau = 0.1633Therefore, circulation around the spinning circular cylinder is 0.1633\, m^{2}/s .

Kisan Kumar Answered on 9th July 2021.
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