lemma A.774 The layer is driven by the excess Reynolds stress
open in the book ·
appendices/A-long-proofs.tex:37906
· p. 3174
Rests on
- depends_on equation A.1290 eq:app-acoustic-streaming-zeromean ¶
- depends_on equation 31.32 eq:fluid-ns ¶
-
depends_on
proposition A.773
The oscillating boundary layer
¶
- depends_on equation A.1289 eq:app-acoustic-streaming-expansion ¶
- depends_on equation 31.32 eq:fluid-ns ¶ ↺
- proves proof app:A-long-proofs@proof-448 ¶
- proves proof app:A-long-proofs@proof-449 ¶
Supports
- 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 ¶ ↺
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | eq:app-acoustic-streaming-zeromean | declared | appendices/A-long-proofs.tex:37922 |
depends_on |
→ | eq:fluid-ns | declared | appendices/A-long-proofs.tex:37922 |
depends_on |
→ | The oscillating boundary layer | declared | appendices/A-long-proofs.tex:37922 |
depends_on |
← | The inner counter-flow | declared | appendices/A-long-proofs.tex:38112 |
depends_on |
← | Rayleigh's limiting velocity | declared | appendices/A-long-proofs.tex:37985 |
proves |
← | app:A-long-proofs@proof-449 | declared | appendices/A-long-proofs.tex:37926 |