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单词 Kirchhoff equations
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Kirchhoff equations

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Kirchhoff equations

In fluid dynamics, the Kirchhoff equations, named after Gustav Kirchhoff, describe the motion of a rigid body in an ideal fluid.

where \vec \omega and \vec v are the angular and linear velocity vectors at the point \vec x, respectively; \tilde I is the moment of inertia tensor, m is the body's mass; \hat n is a unit normal to the surface of the body at the point \vec x; p is a pressure at this point; \vec Q_h and \vec F_h are the hydrodynamic torque and force acting on the body, respectively; \vec Q and \vec F likewise denote all other torques and forces acting on the body. The integration is performed over the fluid-exposed portion of the body's surface.

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