The velocity field of a fluid v (in meters per second) has divergence div(v)(P) = 3 at the point P = (2, 2, 2). Estimate the flow rate out of the sphere of radius 0.5 meter centered at P.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.7P
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The velocity field of a fluid v (in meters per second) has divergence div(v)(P) = 3 at the point P = (2, 2, 2). Estimate the flow rate out of the sphere of radius 0.5 meter centered at P.

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