remark 31.79 Bénard's own cells, and Taylor's cylinders
open in the book ·
parts/03-classical-mechanics/14-fluid-dynamics.tex:2629
· p. 1071
- remark -- no derivation owed by its kind
Rests on
-
depends_on
phenomenon 31.78
Convective onset at a computed threshold
¶
-
depends_on
definition 31.51
The other similarity groups
¶
-
depends_on
phenomenon 31.49
Dynamical similarity
¶
-
depends_on
theorem 31.37
The Navier–Stokes equations
¶
- depends_on theorem 31.36 The Newtonian constitutive relation ¶
- depends_on theorem 31.22 Euler's equations of motion ¶
- proves proof ch:14-fluid-dynamics@proof-18 ¶
- proves proof ch:14-fluid-dynamics@proof-24 ¶
-
depends_on
theorem 31.37
The Navier–Stokes equations
¶
-
depends_on
theorem D.2
Buckingham's $\Pi$ theorem
¶
- depends_on equation D.3 eq:E-kernel-condition ¶
- proves proof app:E-dimensionless@proof-1 ¶
-
depends_on
phenomenon 31.49
Dynamical similarity
¶
- depends_on theorem 31.37 The Navier–Stokes equations ¶ ↺
- proves proof ch:14-fluid-dynamics@proof-39 ¶
-
depends_on
definition 31.51
The other similarity groups
¶
-
depends_on
proposition 31.40
Circular Couette flow
¶
-
depends_on
proposition 31.39
Plane Couette flow
¶
- depends_on theorem 31.37 The Navier–Stokes equations ¶ ↺
- proves proof ch:14-fluid-dynamics@proof-19 ¶
- depends_on theorem 31.37 The Navier–Stokes equations ¶ ↺
- proves proof ch:14-fluid-dynamics@proof-20 ¶
-
depends_on
proposition 31.39
Plane Couette flow
¶
Supports
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Neighborhood
Every logical edge within two steps of this node.
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
cites
(context) |
→ | Hydrodynamic and Hydromagnetic Stability | derived | parts/03-classical-mechanics/14-fluid-dynamics.tex:2655 |
cites |
→ | On convection currents in a horizontal layer of fluid, when the higher temperature is on the under side | derived | parts/03-classical-mechanics/14-fluid-dynamics.tex:2656 |
cites
(evidence) |
→ | Stability of a viscous liquid contained between two rotating cylinders | derived | parts/03-classical-mechanics/14-fluid-dynamics.tex:2651 |
depends_on |
→ | Convective onset at a computed threshold | declared | parts/03-classical-mechanics/14-fluid-dynamics.tex:2658 |
depends_on |
→ | Circular Couette flow | declared | parts/03-classical-mechanics/14-fluid-dynamics.tex:2658 |