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Unformatted text preview: flow, necessarily their cross product is zero. Therefore, f vortex = for Beltrami flow (b) For steady Beltrami flow, u / t = 0 , and the vortex force is zero, so that the Euler equation simplifies to w 1 2 u u W = p V If the flow is also incompressible, is constant so that all terms can be grouped together in parentheses as follows. w p + 1 2 u u + V W = Therefore, the quantity in parentheses must be constant, viz., p + 1 2 u u + V = constant...
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This note was uploaded on 02/09/2012 for the course AME 309 taught by Professor Phares during the Spring '06 term at USC.
- Spring '06