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Crocco's theorem is an aerodynamic theorem that relates the flow velocity, vorticity, and stagnation pressure of a potential flow. It also relates the thermodynamics and fluid kinematics.
Crocco's theorem also relates the gradients of total enthalpy, gradients of entropy, and flow rotation. When a steady flow field has gradients of total enthalpy and/or entropy, Crocco's theorem shows that it is rotational. Crocco's theorem implies that the gradient of entropy contributes to the induction of circulation, and in consequence to the induction of lift.
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