超音速流中における随伴渦回りの誘起速度
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概要
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In order to estimate the velocity field induced by a trailing vortex which is located along the free-stream direction in supersonic flow, we extend the Biot-Savart law, that is originally proven for subsonic flow, to supersonic flow. During the derivation we use the linearized perturbation potential equation that can be applied to both subsonic and supersonic (inviscid) flows. It is shown that our current formula reduces to the original Biot-Savart law when the flow speed reduces from supersonic to subsonic one. It is also shown in the appendix that the Kutta-Joukowski theorem is still applicable to supersonic flows within the supersonic thin-airfoil approximations.