equation 31.32 eq:fluid-ns

open in the book · parts/03-classical-mechanics/14-fluid-dynamics.tex:1066

part of a statement or proof

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Supports

assumes experiment Poiseuille: flow in fine capillaries ¶
depends_on lemma A.774 The layer is driven by the excess Reynolds stress ¶
- depends_on proposition A.776 The inner counter-flow ¶
- depends_on theorem A.775 Rayleigh's limiting velocity ¶
  - depends_on corollary A.778 The powder collects at the antinodes ¶
  - depends_on corollary A.780 Dust ridges at the displacement nodes ¶
  - depends_on proposition A.776 The inner counter-flow ¶ ↺
depends_on postulate A.795 Matching, quoted ¶
- depends_on corollary A.799 The impressed pressure gradient ¶
depends_on proposition A.773 The oscillating boundary layer ¶
- depends_on lemma A.774 The layer is driven by the excess Reynolds stress ¶ ↺
step_from equation 31.43 eq:fluid-ns-dimensionless ¶

Neighborhood

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Edges

type	direction	node	provenance	where
`assumes`	←	Poiseuille: flow in fine capillaries	declared	parts/03-classical-mechanics/19-exp-fluids.tex:352
`depends_on`	←	The layer is driven by the excess Reynolds stress	declared	appendices/A-long-proofs.tex:37922
`depends_on`	←	Matching, quoted	declared	appendices/A-long-proofs.tex:38939
`depends_on`	←	The oscillating boundary layer	declared	appendices/A-long-proofs.tex:37848
`step_from`	←	eq:fluid-ns-dimensionless	declared — measuring lengths in $L$, speeds in $U$, times in $L/U$ and pressures in $\rho U^{2}$, then dividing throughout by $U^{2}/L$	parts/03-classical-mechanics/14-fluid-dynamics.tex:1498