Appunti completi del corso Prof A

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POLITECNICO DI MILANO Filippo D’Ambrosio APPUNTI DI AERODINAMICA Anno accademico 2024/2025 Docente: Franco Auteri 1 Preface These handouts are based on my personal notes taken in the academic year 2024/2025, on the slides of Professor F. Auteri and on the handouts made by Jacopo Alberti and Luigi Boccia, who wrote another version of it the year before (credits to you guyz). I don’t take any responsibility about its accuracy and correctness. It is just a tool to help you guys pass the exam, i hope you’ll find it useful! Last but not least, it has not been written to be sold, students MUST be able to study from it charge-free. For any possible mistake on it or any suggestion to make it better, write an email to [email protected] 2 Indice 1 Introduzione 6 1.1 Problemi di perturbazione regolari . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2 Problemi di perturbazione singolari . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.2.1 Espansioni asintotiche raccordate . . . . . . . . . . . . . . . . . . . . . . . . 8 1.3 Strato limite come problema di perturbazione singolare . . . . . . . . . . . . . . . 10 1.3.1 Problema interno . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.3.2 Problema esterno . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1.4 Definizioni utili . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2 Aerodinamica delle correnti incomprimibili 11 2.1 Teorema di Lagrange . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.2 I teorema di Helmholtz . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.3 II teorema di Helmholts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.4 Teorema di Kelvin .…