.. _sphx_glr_api_gallery_aerodynamics_circulation:

Circulation
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Lift as the product of density, speed and circulation.


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    <div class="sphx-glr-thumbcontainer" tooltip="Martin Kutta (1902) and Nikolai Joukowski (1906) showed that the lift per unit span on any two-dimensional body in a steady inviscid stream is L&#x27; = \rho V \Gamma, where \Gamma is the circulation around the body (~engineeringkit.aerodynamics.kutta_joukowski_lift). The cleanest check is potential flow past a cylinder with circulation (a model of the Magnus effect): integrating the Bernoulli surface pressure around the cylinder reproduces \rho V\Gamma exactly, and the drag integrates to zero (d&#x27;Alembert&#x27;s paradox).">

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  :doc:`/api/gallery/aerodynamics/circulation/plot_01_kutta_joukowski_spinning_cylinder`

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      <div class="sphx-glr-thumbnail-title">The Kutta-Joukowski theorem on a spinning cylinder</div>
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   /api/gallery/aerodynamics/circulation/plot_01_kutta_joukowski_spinning_cylinder