Problem 5.23 - Problem 5.23 [Difficulty: 4] Given:...

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Unformatted text preview: Problem 5.23 [Difficulty: 4] Given: Definition of "del" operator in cylindrical coordinates, velocity vector V Find: (a) An expression for in cylindrical coordinates. (b) Show result is identical to Equation 5.2c. Solution: We will apply the velocity field to the del operator and simplify. z k r e r e r ˆ 1 ˆ ˆ Governing Equations: (Definition of "del" operator) k V e V e V V z r r ˆ ˆ ˆ (Velocity flow field) 1 1 z r V z V r V r r r (Equation 5.2c) r r e e e e ˆ ˆ ˆ ˆ (Hints from footnote) V z r r r r r r r z r r z r r z r r r z r r r V z k k V e r e V r e e V e r e V r e e V r e e k V e V e V z k k V e V e V r e k V e V e V r e k V e V e...
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.

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