Imagine a fluid flowing steadily along a pipe and let be
Chapter 16, Problem 16.3(choose chapter or problem)
Imagine a fluid flowing steadily along a pipe and let be the velocity vector at a point . Then assigns a vector to each point in a certain domain (the interior of the pipe) and so is a vector field on called a velocity field. A possible velocity field is illustrated in Figure 13. The speed at any given point is indicated by the length of the arrow. Velocity fields also occur in other areas of physics. For instance, the vector field in Example 1 could be used as the velocity field describing the counterclockwise rotation of a wheel. We have seen other examples of velocity fields in Figures 1 and 2.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer