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Hodograph relativistic equations of plane flows

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Sommario

Si ricavano, in diverse forme, le equazioni odografiche per le correnti relativistiche irrotazionali stazionarie piane. Si esamina il passaggio dal piano odografico al piano fisico. Si trovano alcune soluzioni elementari delle dette equazioni. Si determina un'equazione odografica approssimata per le correnti transoniche relativistiche.

Summary

Various forms of hodograph equations for relativistic irrotational steady plane flows are worked out. The transformation from the hodograph to the physical plane is studied. Elementary solutions of these equations are found. An approximate hodograph equation for relativistic transonic flows is determined.

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References

  1. A. Busemann,Hodographenmethode der Gasdynamik, ZAMM 17, pp. 73–79, 1937.

    Google Scholar 

  2. S. A. Chaplygin,On gas jets, Sc. Annals Imp. Univ. Mosca, Physic Math. Div., 21, 1904.

  3. C. Ferrari andF. G. Tricomi,Aerodinamica transonica, Roma, 1962.

  4. L. D. Landau andE. M. Lifshitz,Fluid Mechanics, London, 1959.

  5. P. Molenbroek,Ueber einige Bewegungen eines Gases bei Annahame eines Geschwindigkeitspotentials, Arch. Math. Phys. (Grunert-Hoppe) 2, 9, pp. 157–195, 1890.

    Google Scholar 

  6. K. Oswatitsch,Gas Dynamics, New York, 1956.

  7. F. Ringleb,Lösungen der Differentialgleichung einer adiabatischen Strömung, ZAMM, 20, pp. 185–198, 1940.

    Google Scholar 

  8. W. R. Sears,General Theory of High Speed Aerodynamics, High Speed Aerodynamics and Jet Propulsion, Vol. VI, 1954.

  9. B. Todeschini,Sulla gasdinamica relativistica dei moti potenziali, Rend. Ist. Lombardo, 100, pp. 651–554, 1966.

    Google Scholar 

  10. B. Todeschini,Condizioni di incomprimibilità per fluidi relativistici termodinamici ideali, Rend. Ist. Lombardo, 103, pp. 541–556, 1959.

    Google Scholar 

  11. B. Todeschini,Small-pertubation theory of steady plane relativistic flows, Meccanica, Vol. 5, no. 1, 1970.

  12. F. Tricomi,Sulle equazioni lineari alle derivate parziali di secondo ordine di tipo misto, Mem. Accad. Lincei, 5, 14, pp. 133–247, 1923.

    Google Scholar 

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This work was done in the sphere of activity of the C.N.R. groups for mathematical research.

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Todeschini, B. Hodograph relativistic equations of plane flows. Meccanica 5, 69–73 (1970). https://doi.org/10.1007/BF02134210

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  • DOI: https://doi.org/10.1007/BF02134210

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