Vorticity and the thermodynamic state in a gas flow
Mémorial des sciences mathématiques, no. 119 (1952) , 60 p.
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     author = {Truesdell, C.},
     title = {Vorticity and the thermodynamic state in a gas flow},
     series = {M\'emorial des sciences math\'ematiques},
     publisher = {Gauthier-Villars},
     number = {119},
     year = {1952},
     zbl = {0046.19001},
     mrnumber = {57663},
     language = {en},
     url = {http://archive.numdam.org/item/MSM_1952__119__1_0/}
}
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Truesdell, C. Vorticity and the thermodynamic state in a gas flow. Mémorial des sciences mathématiques, no. 119 (1952), 60 p. http://numdam.org/item/MSM_1952__119__1_0/

1762. J. L. Lagrange, Application de la méthode exposée dans le mémoire précédent à la solution de différents problèmes de dynamique [Misc. Tour., t. 2 (1760-1761), p. 196-298; OEuvres, t. 1, 365-468].

1783. J. L. Lagrange, Mémoire sur la théorie du mouvement des fluides [Nouv. Mem. Acad. Berlin (1781), p. 151-198; OEuvres, t. 4, p. 695-748].

1833. J. Fourier, Sur le mouvement de la chaleur dans les fluides [Mém. Acad. Sc. Inst. France (2), t. 12, p. 507-530; OEuvres, t. 2, p. 595-614].

1851. W. Thomson (Lord KELVIN), A mathematical theory of magnetism (Phil. Trans. Roy. Soc. London, t. 141, p. 243-285; Papers Elect. Mag., § 432-523).

1868. G. Kirchhoff, Ueber den Einfluss der Wärmeleitung in einem Gase auf die Schallbewegung (Ann. der Physik, t. 134, p. 177-193; Abh., t. 1, p. 540-556).

1869. W. Thomson (Lord KELVIN), On vortex motion (Trans. Roy. Soc. Edinb., t. 25, p. 217-260; Papers, t. 4, p. 13-66).

1871. E. Beltrami, Sui principi fondamentali della idrodinamica [Mem. Accad. Sc. Ist. Bologna (3), t. 1, p. 431-476; t. 2, (1872), p. 381-437; t. 3, (1873), p. 349-407; t. 5, (1874), p. 443-484; Ricerche sulla cinematica dei fluidi, Opere, t. 2, p. 202-379]. | JFM

1875. J. W. Gibbs, On the equilibrium of heterogeneous substances [Trans. Conn. Acad., t. 3, p. 108-248 et 343-524, (1875-1878); Works, t. 1, p. 55-358]. | JFM

1878. H. Lamb, On the conditions for steady motion of a fluid [Proc. London Math. Soc., t. 9, (1877-1878), p. 91-92]. | JFM

1881. I. Gromeka, Nekotorie sluchai dvizheniya neszhimaimoi zhidkosti, Kazan.

1885. H. Hugoniot, Sur la propagation du mouvement dans un fluide indéfini (2e partie) (C. R. Acad. Sc., t. 101, p. 1229-1232). | JFM

1888. H. Hugoniot, Mémoire sur la propagation du mouvement dans un fluide indéfini (2e partie) [J. Math. Pures Appl., (4), t. 4, p. 153-167]. | JFM

1889. E. Beltrami, Considerazione idrodinamiche [Rend. Ist. Lombardo, (2), t. 22, p. 121-130 ; Opere, t. 4, p. 300-309]. | JFM

1894. C. Neumann, Ueber die Bewegung der Wärme in compressiblen oder auch incompressiblen Flüssigkeiten (Ber. Verh. Ges. Wiss. Leipzig, t. 46, p. 1-24). | JFM

1896. L. Silberstein, Ueber die Entstehung von Wirbelbewegung in einer reibungsloser Flüssigkeit (C. R. Acad. Sc., Cracovie, p. 280-290). | JFM

1897. P. Appell, Sur les équations de l'hydrodynamique et la théorie des tourbillons [J. Math. Pures Appl., (5A), t. 3, p. 5-16]. | JFM

1911. E. Vessiot, Sur les transformations infinitésimales et la cinématique des milieux continus [Bull. Sc. Math., (2), t. 351, p. 233-244]. | JFM

1919. L. Lecornu, Sur les tourbillons d'une veine fluide, (C. R. Acad. Sc., Paris, t. 168, p. 923-926). | JFM

1924. B. Caldonazzo, Sulla geometria differenziale di superficie aventi interesse idrodinamico [Rend. Lincei, (5A), t. 332, p. 396-400]. | JFM

1927A. Masotti, Osservazioni sui moti di un fluido nei quali è stazionaria la distribuzione del vortice [Rend. Lincei, (6), t. 6, p. 224-228]. | JFM

1933. V. Bjerknes, J. Bjerknes, H. Solberg et T. Bergeron, Physikalische Hydrodynamik, Bérlin. | JFM | Zbl

1936. L. Crocco, Una nuova funzione di corrente per lo studio del moto rotazionale dei gas [Rend. Lincei, (6A), t. 23, p. 115-124; Eine neue Stromfunktion für die Erforschung der Bewegung der Gase mit Rotation [Z. Angew. Math. Mech., t. 17 (1937), p. 1-7]. | JFM

1937. G. Hamel, Potentialströmungen mit konstanter Geschwindigkeit (Sitzungsber. Preuss. Akad. Wiss. Phys-Math. Kl., p. 5-20). | JFM | Zbl

1940. C. Eckart, The thermodynamics of irreversible processes. II. Fluid mixtures [Phys. Rev., (2), t. 58, p. 269-275]. | Zbl

1942. W. Tollmien, Ein Wirbelsatz für stationäre isoenergetische Gasströmungen (Luftfahrtforschung, t. 19, p. 145-147). | JFM | MR | Zbl

1943. K. Oswatitsch, Zur Ableitung des Croccoschen Wirbelsatzes [Luftfahrtforschung, t. 20, p. 260.) | Zbl

1944. H. W. Emmons, The numerical solution of compressible fluid flow problems (Nat. Advisory Comm. Aero., Tech. Note 932). | MR | Zbl

1945. A. Vazsonyi, On rotational gas flows (Q. Appl. Math., t. 3, p. 29-37). | MR | Zbl

1947. 1. M. M. Munk et R. C. Prim, On the multiplicity of steady gas flows having the same streamline pattern (Proc. Nat. Acad. Sc. U.S.A., t. 33, p. 137-141).

1947. 2. B. Hicks, P. Guenther et R. Wasserman, New formulation of the equations for compressible flow (Q. Appl. Math., t. 5, p. 357-361). | MR | Zbl

1947. 3. C. Truesdell et R. Prim, Vorticity and the thermodynamic state in the flow of an inviscid fluid (U. S. Naval Ordnance Lab., Mem. 9416). | MR

1947. 4. L. Castoldi, Sopra una propriété dei moti permanenti di fluidi incomprimibili in cui le linee di corrente formano una congruenza normale di linee isotache (Atti Accad. Naz. Lincei Cl. Sc. Fis. Mat. Nat., (8), t. 3, p. 33-337). | MR | Zbl

1948. 1. P. Neményi et R. Prim, Some properties of rotational flow of a perfect gas [Proc. Nat. Acad. Sc. U. S. A., t. 34, p. 119-124; Erratum, ibid., t. 35, (1949), p. 116]. | MR | Zbl

1948. 2. Prim R., On doubly laminar flow fields having a constant velocity magnitude along each streamline (U. S. Naval Ordnance Lab., Mem. 9762).

1948. 3. B. L. Hicks, Diabatic flow of a compressible fluid. [Q. Appl. Math., t. 6, p. 221-237). | MR | Zbl

1948. 4. R. Prim, Extension of Crocco's theorems to flows having a non-uniform stagnation enthalpy [Phys. Rev., (2), t. 73, p. 186]. | Zbl

1949. 1. R. Prim, A note on the substitution principle for steady gas flow (J. Appl. Phys., t. 20, p. 448-450). | MR | Zbl

1949. 2. D. Gilbarg, A characterizalion of non-isentropic irrotational flows (Am. J. Math., t. 71, p. 687-700). | MR | Zbl

1949. 3. B. L. Hicks, On the characterizalion of fields of diabatic flow [Q. Appl. Math., t. 6, p. 405-416). | MR | Zbl

1949. 4. P. Neményi et Prim P., On the steady Beltrami flow of a perfect gas [Proc. 7th Int. Congr. Appl. Mech, t. 2, (1948), p. 300-314]. | MR

1949. 5. R. C. Prim, Steady rotational flow of ideal gases, Thesis, MS in Princeton University Library. To appear in J. Rat. Mech. Anal., t. 1, n° 3 (1952). | MR | Zbl

1951. 1. C. Truesdell, Vereinheitlichung und Verallgemeinerung der Wirbelsätze ebener und rotationssymmetrischer Gasbewegungen (Z. Angew. Math. Mech., t. 31, p. 65-71). | MR | Zbl

1951. 2. C. Truesdell, On the velocity of sound in fluids (J. Aero. Sci., t. 18, p. 501). | MR

1952. 1. C. Truesdell, The kinematics of vorticity, in preparation. | Zbl

1951. 2. C. Truesdell, The mechanical foundations of elasticity and fluid dynamics (J. Rat. Mech. Anal., t. 1, p. 125-300.). | MR | Zbl