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Example 5

EXAMPLE 5

A fluid is flowing directly away from the origin at a rate equal to a constant b times the distance from the origin (Figure 13.4.12). Find the curl and divergence of the flow field.

13_vector_calculus-235.gif

Figure 13.4.12

We have

13_vector_calculus-236.gif

13_vector_calculus-237.gif

The fluid flow field is irrotational and the divergence at every point is 2b.


Last Update: 2006-11-25