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If velocity components are time independent, then :

  • A.Only stream lines and path lines are coincident
  • B.Only stream lines and streak lines are coincident
  • C.Only path lines and streak lines are coincident
  • D.Stream lines, path lines and streak lines are coincident

Answer: D

The answer is stream lines, path lines and streak lines are coincident.

If the velocity field does not depend on time (steady flow), the streamline pattern never changes. A fluid particle then moves along the streamline through its starting point, so path lines coincide with streamlines. All particles passing through a fixed point follow the same path, so the streak line through that point is that same curve.

All three families coincide, not just two of them. They differ only in unsteady flow.

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