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  • 1
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 1 (1989), S. 600-603 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The substitution principle is a transformation of the dependent variables that leaves invariant the steady Euler equations. In Part I [J. L. Rodriguez Azara and G. Emanuel, Phys. Fluids 31, 1058 (1988)] the principle is applied to several well-known compressible flows. In this communication, the most general forms of the transformation are derived, including a generalization of the vorticity transformation. From a thermodynamic analysis and the energy shock wave jump condition, we conclude that a thermally perfect gas is usually the only assumption compatible with the principle. The nonlinear equations for rotational flow of a perfect gas are derived in the hodograph plane. By means of the substitution principle, the solutions of the linear, irrotational hodograph equations can be transformed into solutions of the new rotational equations. As a result of the invariance of the physical coordinates under the substitution principle, the transformation does not alter the form of the solutions. A cylindrical source flow is used to illustrate the hodograph theory.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 491-495 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The bulk viscosity μb is generally set equal to zero (Stokes' hypothesis). For certain gases, such as CO2, μb/μ exceeds 103, where μ is the shear viscosity. In this circumstance, the bulk viscosity may substantially alter a hypersonic boundary layer. A general, nonsimilar, laminar, boundary-layer formulation is provided in which the bulk viscosity terms are included as a correction. To obtain explicit results, flow over a flat plate is considered. In addition to the heat transfer, the transverse pressure gradient inside the boundary layer is not zero, whereas the skin friction is unaltered by the bulk viscosity. This analysis is relevant to aerogravity-assisted maneuvers in planetary atmospheres that largely consist of CO2.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 71 (1967), S. 1161-1162 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 6 (1994), S. 3203-3205 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Currently, the bulk viscosity μb of a gas can only be obtained with an acoustic absorption experiment. A method is proposed that is primarily applicable to a dense polyatomic gas. In this circumstance, the density-based thickness Λρ is large, consisting of many thousands of mean-free paths. Moreover, the ratio μb/μ (μ is the shear viscosity) is linear with this thickness. Consequently, shock measurements of Λρ can be used to evaluate μb. The approach is illustrated using sulfur hexaflouride.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 2 (1990), S. 2252-2254 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Theoretical and experimental knowledge of the bulk viscosity for a dilute gas is briefly reviewed. Neither area is satisfactory; the lack of experimental data for polyatomic gases over a broad temperature range is particularly acute. There is one circumstance where this deficiency is especially detrimental, namely, high-speed entry into planetary atmospheres.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 31 (1988), S. 1058-1063 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A theory is developed for compressible rotational flow that is based on the substitution principle. The theory encompasses a formula for the transformation of the vorticity under the principle. Solutions are found for four rotational flows. These are the rotational counterparts of a parallel flow, flow behind a planar oblique shock wave, Prandtl–Meyer flow, and Taylor–Maccoll flow. A surprising variation of the vorticity is found for the planar oblique shock wave and the Prandtl–Meyer flow. Irrotational flow behind a curved shock wave, where the upstream flow is rotational, is examined and shown not to be possible.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Chemical Kinetics 4 (1972), S. 591-637 
    ISSN: 0538-8066
    Keywords: Chemistry ; Physical Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: An e×tensive table is given of the Kassel integral \documentclass{article}\pagestyle{empty}\begin{document}$$I(S,B,D) = \Gamma \mathop {(S)}\limits^1 \int_0^\infty {\frac{{x^{S - 1} e^{ - x} dx}}{{1 + 10^D \left({\frac{x}{{B + x}}} \right)^{S - 1} }}}$$\end{document} that occurs in the Rice-Ramsperger-Kassel theory of unimolecular gas reactions.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
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