Summary
Chisnell's approximating ordinary differential equation for the motion of a shock in a variable area duct is generalized to allow for phase changes behind the shock.
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References
R. F. Chisnell, The motion of a shock wave in a channel, with applications to cylindrical and spherical shock waves,J. Fluid Mech. 2 (1957) 286–298.
R. Courant and K. O. Friedrichs,Supersonic flow and shock waves, Interscience Publishers Inc., New York (1948).
L. J. Hamilton,Propagation of pressure waves in two-phase media, Thesis - Univ. of California, Berkeley (1968), University Microfilms 1974.
M. Ishii,Thermo-fluid dynamic theory of two-phase flow, v. 22, Collection de la Direction des Études et Recherches d'Electricité de France, Eyrolles 1975.
P. D. Lax, Hyperbolic systems of conservation laws II,Comm. Pure Appl. Math. 10 (1957) 537–566.
L. van Wijngaarden, One-dimensional flow of liquids containing small gas bubbles,Annual Review of Fluid Mechanics 4 (1972) 369–396.
B. Wendroff, The Riemann problem for materials with nonconvex equations of state II: General flow,J. Math. Anal., and Appl. 38 (1972) 640–658.
B. Wendroff,A survey of partial differential equation models of two-phase flow I: Equilibrium Models, Los Alamos Scientific Laboratory report LA-UR-75-417, Los Alamos, New Mexico (1975).
G. B. Whitham,Linear and nonlinear waves, John Wiley and Sons, New York (1974).
Y. B. Zeldovich and Y. P. Raizer,Physics of shock waves and high-temperature hydrodynamic phenomena, Academic Press, New York (1966).
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Work performed under the auspices of the U.S. Energy Research and Development Administration and the U.S. Nuclear Regulatory Commission.
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Wendroff, B. Shock propagation in variable area ducts with phase changes: an extension of Chisnell's method. J Eng Math 11, 273–286 (1977). https://doi.org/10.1007/BF01535971
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DOI: https://doi.org/10.1007/BF01535971