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Radially symmetric incompressible flow in a planar annulus

For liquid occupying

a (t) < r < b (t)

, radial symmetry and incompressible flow imply

u_{r} (r, t) = \frac{a a ˙}{r}, ϕ (r, t) = a \overset{a}{˙} lo g r + C (t) .

The kinematic boundary condition at the outer interface gives

b^{2} - a^{2} = constant,

which expresses conservation of the liquid's area.

Table of contents 74 2
- Pressure in radially symmetric annular potential flow Radially symmetric incompressible flow in a planar annulus 45 1
  - Small oscillation of a planar gas bubble in an annular liquid Pressure in radially symmetric annular potential flow 28

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