Unformatted text preview: Explain why viscosity causes the vortex to decay in time even though it was shown in class and in the book that the net viscous force vanishes in a point vortex ﬂow (K&C, pp. 131134). 2. Kundu & Cohen, Chapter 5, Problem 3. 3. Kundu & Cohen, Chapter 5, Problem 6. Just think of a vortex ring as a dipole of oppositesigned point vortices at a ﬁnite distance from one another ( i.e. , in 2D). 4. Consider the geometry and ﬂow described by Kundu & Cohen, Chapter 4, Problem 11. Imagine that at t = 0, the upper plate was at rest, and the ﬂuid had no motion. Describe what happens to the ﬂow if at t = 0 + , the upper plate moves with constant velocity, U . Use the NavierStokes equation, Eq. 4.45. 1...
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 Spring '09
 Fluid Dynamics, Cartesian Coordinate System, Fundamental physics concepts, Polar coordinate system

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