definition 31.2 Knudsen number

open in the book · parts/03-classical-mechanics/14-fluid-dynamics.tex:68 · p. 1041

ground object -- no derivation owed

Rests on

depends_on definition 31.1 Fluid ¶
- depends_on theorem 30.18 Cauchy: the stress tensor exists ¶
  - depends_on definition 30.17 Traction ¶
    - depends_on definition 7.126 Line and surface integrals ¶
      - depends_on definition 7.98 Functions of class $C^{1}$ ¶
      - depends_on definition 7.125 Multiple integral ¶
    - depends_on definition 30.2 Representative volume element; continuum field ¶
      - depends_on definition 7.97 Partial derivative; gradient ¶
  - depends_on definition 13.5 Tensor under orthogonal transformations ¶
    - depends_on definition 13.4 Orthogonal coordinate transformation ¶
      - depends_on definition 13.3 Orthogonal coordinate system ¶
  - proves proof ch:13-continuum-elasticity@proof-7 ¶

Supports

depends_on remark 31.3 When the continuum picture is allowed ¶

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`	→	Fluid	declared	parts/03-classical-mechanics/14-fluid-dynamics.tex:77
`depends_on`	←	When the continuum picture is allowed	declared	parts/03-classical-mechanics/14-fluid-dynamics.tex:92