hw3_001 - t = 0 Problem 4 The free surface of a liquid is...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
ME220A 1 Homework 3 (due at 12:30 pm on November 14, 2011) Problem 1. Using the method of matched asymptotic expansion, solve ± ¨ y - ˙ y + y = 0 , with y (0) = 0 , y (1) = 1 , ± ± 1 . Compare with the exact solution. Problem 2. Develop a 2D version of the Kolmogorov-Obukhov theory of fully developed turbulence. Problem 3. Formulate and solve the problem of viscous diffusion of a vortex line (i.e. a line where vorticity is concentrated at the time
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

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....
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online