equation 7.126 eq:ana-nabla-curl

Rests on

No declared or derived dependency edges point away from this node yet.

Supports

• depends_on definition 31.8 Rate of strain and vorticity ¶
  • depends_on definition 31.63 Circulation ¶
    • depends_on theorem 31.64 Kelvin's circulation theorem ¶
      • depends_on corollary 31.65 Lagrange: an irrotational flow stays irrotational ¶
        • depends_on remark 31.69 The Kutta condition, and where the circulation comes from ¶
      • depends_on remark 31.66 Only three things make circulation ¶
      • depends_on theorem 31.59 Helmholtz's vortex theorems ¶
        • depends_on corollary 31.65 Lagrange: an irrotational flow stays irrotational ¶ ↺
        • depends_on example 31.60 Vortex rings ¶
  • depends_on definition 31.32 Newtonian fluid; dynamic and kinematic viscosity ¶
    • depends_on remark 31.35 Non-Newtonian fluids are out of scope ¶
    • depends_on remark 31.33 Reading the two viscosities ¶
    • depends_on theorem 31.36 The Newtonian constitutive relation ¶
      • depends_on theorem A.718 Stokes' drag law with its coefficient ¶
      • depends_on theorem 31.37 The Navier–Stokes equations ¶
        • depends_on definition A.741 The statistical setting ¶
        • depends_on definition A.760 The convecting layer ¶
        • depends_on definition 31.43 Creeping flow ¶
        • depends_on phenomenon 31.78 Convective onset at a computed threshold ¶
        • depends_on phenomenon 31.41 The fourth-power law of pipe flow ¶
        • depends_on phenomenon 31.49 Dynamical similarity ¶
        • depends_on proposition A.761 The Boussinesq equations ¶
        • depends_on proposition 31.40 Circular Couette flow ¶
        • depends_on proposition 31.39 Plane Couette flow ¶
        • depends_on remark 31.48 What is actually proved ¶
        • depends_on remark 31.38 Whose equations, and the Stokes hypothesis ¶
        • depends_on theorem A.745 Kármán–Howarth–Monin relation ¶
        • … 3 more
  • depends_on proposition 31.9 Cauchy–Stokes decomposition ¶
    • depends_on remark 31.10 Vorticity is local rotation, not curvature of the path ¶
    • depends_on theorem 31.36 The Newtonian constitutive relation ¶ ↺
• depends_on remark A.527 The hypotheses, and what happens without them ¶
• depends_on remark 31.5 Vector identities this chapter uses, and where they belong ¶