MATH 505 - Fall 2007 Mathematical Fluid Dynamics
Andrew Belmonte
Time: MWF 1:25 - 2:15 PM Location: 322 Sackett Bldg
Schedule Number: 869257 This one semester course will provide an introduction to the wide variety of phenomena in fluid dynamics a
MATH 505: Mathematical Fluid Dynamics Problem Set 4 due Friday, November 16, 2007
1. Consider a U-shaped tube filled with two different fluids, of equal volumes and densities 1 and 2 > 1 . At t = 0 the two fluids are arranged so that each one occupi
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MATH 505: Mathematical Fluid Dynamics Problem Set 3 due Friday, October 19, 2007
1. Consider the incompressible irrotational flow of a fluid which fills an open tank to an initial height h0 . The fluid is steadily escaping through a small hole at th
MATH 505: Mathematical Fluid Dynamics Problem Set 1 due Friday, September 14, 2007
1. Consider an outward radial flow in R3 , given in spherical coordinates by u = (q/r , 0, 0), where q and are positive constants. (a) For what values of is u = 0?
MATH 505: Mathematical Fluid Dynamics Problem Set 2 due Monday, September 24, 2007
1. Find the complex potential for a point source in planar flow, with a velocity field u = (B/r, 0), (source for B > 0 or sink, for B < 0). Comment on how this could
MATH 505: Mathematical Fluid Dynamics Problem Set 5 due Wednesday, December 12, 2007
1. In class we showed that the velocity potential for a slightly compressible fluid satisfied the linear wave equation to leading order, tt = c2 2 . Derive the nonl