A Fundamental Derivative in Gasdynamics

DOI PDF 被引用文献2件
  • Philip A. Thompson
    Division of Fluid, Chemical, and Thermal Processes, Rensselaer Polytechnic Institute, Troy, New York 12181

書誌事項

公開日
1971-09-01
DOI
  • 10.1063/1.1693693
公開者
AIP Publishing

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説明

<jats:p>The quantity which is here called the fundamental derivative has been defined as the nondimensional form Γ≡12ρ3c4(∂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&gt;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.</jats:p>

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