theorem A.775 Rayleigh's limiting velocity
open in the book ·
appendices/A-long-proofs.tex:37975
· p. 3175
Rests on
- depends_on equation A.1291 eq:app-acoustic-streaming-u1 ¶
- depends_on equation A.1293 eq:app-acoustic-streaming-v1 ¶
-
depends_on
lemma A.774
The layer is driven by the excess Reynolds stress
¶
- 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 ¶
- proves proof app:A-long-proofs@proof-450 ¶
Supports
- 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-u1 | declared | appendices/A-long-proofs.tex:37985 |
depends_on |
→ | eq:app-acoustic-streaming-v1 | declared | appendices/A-long-proofs.tex:37985 |
depends_on |
→ | The layer is driven by the excess Reynolds stress | declared | appendices/A-long-proofs.tex:37985 |
depends_on |
← | The powder collects at the antinodes | declared | appendices/A-long-proofs.tex:38222 |
depends_on |
← | Dust ridges at the displacement nodes | declared | appendices/A-long-proofs.tex:38308 |
depends_on |
← | The inner counter-flow | declared | appendices/A-long-proofs.tex:38112 |
proves |
← | app:A-long-proofs@proof-450 | declared | appendices/A-long-proofs.tex:37989 |