remark 31.81 Where the threshold comes from, and what it costs
open in the book ·
parts/03-classical-mechanics/14-fluid-dynamics.tex:2725
· p. 1072
- 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 31.80
Rayleigh's circulation criterion
¶
-
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
¶
- depends_on theorem 31.22 Euler's equations of motion ¶ ↺
- proves proof ch:14-fluid-dynamics@proof-40 ¶
-
depends_on
proposition 31.40
Circular Couette flow
¶
Supports
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Neighborhood
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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:2745 |
cites
(evidence) |
→ | Stability of a viscous liquid contained between two rotating cylinders | derived | parts/03-classical-mechanics/14-fluid-dynamics.tex:2731 |
cites
(evidence) |
→ | Stability of a viscous liquid contained between two rotating cylinders | derived | parts/03-classical-mechanics/14-fluid-dynamics.tex:2748 |
depends_on |
→ | Convective onset at a computed threshold | declared | parts/03-classical-mechanics/14-fluid-dynamics.tex:2754 |
depends_on |
→ | Rayleigh's circulation criterion | declared | parts/03-classical-mechanics/14-fluid-dynamics.tex:2754 |