remark 31.56 What of the drag curve is owed, and where it is paid

Rests on

• depends_on phenomenon 31.55 Drag, and the failure of ideal flow ¶
  • depends_on phenomenon 31.30 Steady ideal flow exerts no drag ¶
    • proves proof ch:14-fluid-dynamics@proof-15 ¶
    • proves proof ch:14-fluid-dynamics@prooflink-1 ¶
  • depends_on phenomenon 31.45 Stokes drag on a sphere ¶
    • proves proof ch:14-fluid-dynamics@proof-23 ¶
    • proves proof ch:14-fluid-dynamics@prooflink-2 ¶
  • proves proof ch:14-fluid-dynamics@proof-26 ¶
• depends_on proposition 31.73 Separation requires an adverse pressure gradient ¶
  • depends_on theorem 31.71 Boundary-layer thickness ¶
    • depends_on phenomenon 31.30 Steady ideal flow exerts no drag ¶ ↺
    • depends_on theorem 31.37 The Navier–Stokes equations ¶
      • depends_on theorem 31.36 The Newtonian constitutive relation ¶
        • depends_on definition 31.32 Newtonian fluid; dynamic and kinematic viscosity ¶
        • depends_on proposition 31.9 Cauchy–Stokes decomposition ¶
        • proves proof ch:14-fluid-dynamics@proof-17 ¶
      • depends_on theorem 31.22 Euler's equations of motion ¶
        • depends_on definition 31.21 Ideal fluid ¶
        • depends_on lemma 31.11 Transport theorem for a material volume ¶
        • depends_on theorem 30.21 Cauchy's equation of motion ¶
        • proves proof ch:14-fluid-dynamics@proof-11 ¶
      • proves proof ch:14-fluid-dynamics@proof-18 ¶
    • proves proof ch:14-fluid-dynamics@proof-33 ¶
  • proves proof ch:14-fluid-dynamics@proof-34 ¶

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