example 31.46 Terminal velocity, and Millikan's droplets

open in the book · parts/03-classical-mechanics/14-fluid-dynamics.tex:1373 · p. 1057

example -- no derivation owed by its kind

Rests on

depends_on phenomenon 31.18 Archimedes' principle ¶
- depends_on proposition 31.16 Hydrostatic balance ¶
  - depends_on definition 31.1 Fluid ¶
    - depends_on theorem 30.18 Cauchy: the stress tensor exists ¶
      - depends_on definition 30.17 Traction ¶
      - depends_on definition 13.5 Tensor under orthogonal transformations ¶
      - proves proof ch:13-continuum-elasticity@proof-7 ¶
  - depends_on theorem 30.21 Cauchy's equation of motion ¶
    - depends_on theorem 7.133 Gauss ¶
      - depends_on definition 7.127 Simple regions ¶
      - depends_on remark 7.128 What the derivations below take as given ¶
      - depends_on theorem 7.43 Fundamental theorem of calculus, II ¶
      - proves proof ch:05-real-analysis@proof-79 ¶
    - depends_on theorem 30.18 Cauchy: the stress tensor exists ¶ ↺
    - proves proof ch:13-continuum-elasticity@proof-9 ¶
  - proves proof ch:14-fluid-dynamics@proof-7 ¶
- proves proof ch:14-fluid-dynamics@proof-9 ¶
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 ¶

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type	direction	node	provenance	where
`cites` (method)	→	On the Elementary Electrical Charge and the Avogadro Constant	derived	parts/03-classical-mechanics/14-fluid-dynamics.tex:1391
`depends_on`	→	Archimedes' principle	declared	parts/03-classical-mechanics/14-fluid-dynamics.tex:1394
`depends_on`	→	Stokes drag on a sphere	declared	parts/03-classical-mechanics/14-fluid-dynamics.tex:1394