phenomenon 31.93 The Mach cone

Rests on

• depends_on remark 31.89 The Mach number and the regimes it separates ¶
  • depends_on definition 31.51 The other similarity groups ¶
    • depends_on phenomenon 31.49 Dynamical similarity ¶
      • depends_on theorem 31.37 The Navier–Stokes equations ¶
        • depends_on theorem 31.36 The Newtonian constitutive relation ¶
        • depends_on theorem 31.22 Euler's equations of motion ¶
        • proves proof ch:14-fluid-dynamics@proof-18 ¶
      • proves proof ch:14-fluid-dynamics@proof-24 ¶
    • depends_on theorem D.2 Buckingham's $\Pi$ theorem ¶
      • depends_on equation D.3 eq:E-kernel-condition ¶
      • proves proof app:E-dimensionless@proof-1 ¶
  • depends_on phenomenon 31.88 Sound travels at the adiabatic speed ¶
    • depends_on theorem 31.12 Conservation of mass ¶
      • depends_on lemma 31.11 Transport theorem for a material volume ¶
        • depends_on definition 31.4 Material derivative ¶
        • depends_on theorem 7.133 Gauss ¶
        • proves proof ch:14-fluid-dynamics@proof-4 ¶
      • proves proof ch:14-fluid-dynamics@proof-5 ¶
    • depends_on theorem 31.22 Euler's equations of motion ¶ ↺
    • proves proof ch:14-fluid-dynamics@proof-44 ¶
• depends_on theorem 31.91 Rankine–Hugoniot jump conditions ¶
  • depends_on theorem 31.12 Conservation of mass ¶ ↺
  • depends_on theorem 31.22 Euler's equations of motion ¶ ↺
  • proves proof ch:14-fluid-dynamics@proof-45 ¶
• proves proof ch:14-fluid-dynamics@proof-46 ¶

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