Abstract
The basic equations of gas dynamics are written in the form of invariant integrals describing the laws of conservation. The Kutta–Joukowski equation and the lift force of wings were derived from Joukowski’ profiles using the invariant integrals and complex variables. The optimal shape of airfoils is suggested and calculated. Method of discrete vortices applied to turbulent flows with large Reynolds number appeared to be useful for the characterization of hurricanes. This chapter may be of special interest for aerodynamics and meteorology.
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Cherepanov, G.P. (2019). The Theory of Flight. In: Invariant Integrals in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-28337-7_4
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DOI: https://doi.org/10.1007/978-3-030-28337-7_4
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