%0 Journal Article %1 thompson:1843 %A Thompson, Philip A. %D 1971 %I AIP %J Physics of Fluids %K 1971 derivative properties speed-of-sound thermodynamic %N 9 %P 1843-1849 %R 10.1063/1.1693693 %T A fundamental derivative in gas dynamics %U http://dx.doi.org/10.1063/1.1693693 %V 14 %X The quantity which is here called the fundamental derivative has been defined as the nondimensional form Γ ≡ ½ρ3c4(∂2Υ/∂P2)s. The relation of Γ to other thermodynamic variables is discussed. It is already known that the existence of conventional compression shocks requires Γ>0. It is shown that other dynamic behavior of compressible fluids is fixed by the sign of Γ. Particular emphasis is given to phenomena corresponding to negative Γ. These phenomena include the area variation of a transonic passage, the form of a Prandtl‐Meyer wave, the behavior of adiabatic flow with friction, and nonlinear wave propagation. Formulas and numerical values are given for Γ in various substances.

@article{thompson:1843, abstract = {The quantity which is here called the fundamental derivative has been defined as the nondimensional form Γ ≡ ½ρ3c4(∂2Υ/∂P2)s. The relation of Γ to other thermodynamic variables is discussed. It is already known that the existence of conventional compression shocks requires Γ>0. It is shown that other dynamic behavior of compressible fluids is fixed by the sign of Γ. Particular emphasis is given to phenomena corresponding to negative Γ. These phenomena include the area variation of a transonic passage, the form of a Prandtl‐Meyer wave, the behavior of adiabatic flow with friction, and nonlinear wave propagation. Formulas and numerical values are given for Γ in various substances.}, added-at = {2013-09-28T14:08:41.000+0200}, author = {Thompson, Philip A.}, biburl = {https://www.bibsonomy.org/bibtex/263c416bbed5411a3131b61dced0192d0/thorade}, description = {A Fundamental Derivative in Gasdynamics | Phys. Fluids (1958-1988) - Physics of Fluids}, doi = {10.1063/1.1693693}, interhash = {a994896645b2c818160716ca4c3c44c0}, intrahash = {63c416bbed5411a3131b61dced0192d0}, journal = {Physics of Fluids}, keywords = {1971 derivative properties speed-of-sound thermodynamic}, number = 9, pages = {1843-1849}, publisher = {AIP}, timestamp = {2013-09-28T14:08:41.000+0200}, title = {A fundamental derivative in gas dynamics}, url = {http://dx.doi.org/10.1063/1.1693693}, volume = 14, year = 1971 }