p1002 - yields f vortex = t Hence, the curl of the vortex...

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1074 CHAPTER 10. VORTICITY AND VISCOSITY 10.2 Chapter 10, Problem 2 The Euler equation can be written as ρ u t + ρ w 1 2 u · u W ρ u × ω ± 1 u · u = −∇ p ρ V So, since f vortex = ρ u × ω , we can say (with ρ =cons tan t ) : f vortex = ρ u t + w 1 2 ρ u · u + p +
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Unformatted text preview: yields f vortex = t Hence, the curl of the vortex force vanishes if the flow is steady, so that the force is conservative....
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