Problem Description

Tom just started working as an undergraduate research assistant in a fluid mechanics laboratory. One of the priority tasks that he needs to learn is how to construct streamlines to represent an actual flow field. Tom is given the following velocity profiles:

     u = -5y/(x²+y²) and v = 5x/(x²+y²)

Construct streamlines and pathlines for the given flow field.

• The given flow field is independent of time, hence it is steady.