6.4 WILEY The three components of velocity in a flow field are given by u = x² + y² + z² v = xy + yz + z² w = -3xz - 2²/2 +4 (a) Determine the volumetric dilatation rate and interpret the re- sults. (b) Determine an expression for the rotation vector. Is this an irrotational flow field?

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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6.4 WILEY The three components of velocity in a flow field are
given by
u = x² + y² + z²
v = xy + yz + z²
W =
-3xz - 2²/2 + 4
(a) Determine the volumetric dilatation rate and interpret the re-
sults. (b) Determine an expression for the rotation vector. Is this an
irrotational flow field?
Transcribed Image Text:6.4 WILEY The three components of velocity in a flow field are given by u = x² + y² + z² v = xy + yz + z² W = -3xz - 2²/2 + 4 (a) Determine the volumetric dilatation rate and interpret the re- sults. (b) Determine an expression for the rotation vector. Is this an irrotational flow field?
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