Unformatted text preview: t = 0). Problem 4. The free surface of a liquid is one of constant pressure. If an incompressible ﬂuid is placed in a cylindrical vessel and the whole is rotated with constant angular velocity ω , show that the free surface becomes a paraboloid of revolution. Problem 5. Determine a scaling for the period of oscillations of a gas bubble produced by a deep explosion under water....
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- Fall '10
- Fluid Dynamics, vorticity, Asymptotic expansion, free surface