References
[1] H.W. Liepmann, A. Roshko, Elements of Gasdynamics (Dover Publications Inc.,
Mineola, New York, 2001), Section 12-4
[2] J.D. Anderson, Modern Compressive Flow with Historical Perspective, 3rd edn.
(McGraw-Hill, New York, 2003), Chapter 7
[3] W.F. Ames, Numerical Methods for Partial Differential Equations, 2nd edn.
(Academic Press, New York, 1977), Section 4-5
Fig. A.14 Numerically generated plots showing the particle paths for several initial particle
positions ( jΔx, where j ¼ 10, 20....80) when the tube is NOT closed at the end. For the numerical
procedure the following parameters apply: γ ¼ 1.4, κ ¼ 1.2, Δx ¼ 0.1, Δt ¼ 0.01, ambient pressure
and density within the tube are, 1.03 and 1, respectively (see text)
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Appendix A
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