Question map
Which one of the following statements is not correct?
Explanation
In fluid mechanics, steady flow is defined as a condition where fluid parameters, such as velocity, at any fixed point do not change over time [3]. Consequently, every fluid particle reaching a specific point will have the same velocity as the particle that preceded it [3]. Because the velocity vector at any point remains constant, the streamlines, pathlines, and streaklines coincide and are identical in steady flow [2]. This means that every particle passing through a particular point must follow the exact same path as the previous particle [2]. Statement 3 is incorrect because it suggests particles may follow different paths, which only occurs in unsteady flow where velocity vectors change with time. Additionally, streamlines cannot intersect because a particle cannot have two different velocities at the same point [1]. Steady flow is often synonymous with streamlined flow in laminar conditions [1].
Sources
- [3] https://en.wikipedia.org/wiki/Streamlines,_streaklines,_and_pathlines
- [2] https://www.vbspu.ac.in/e-content/Sudhir-Singh/Streamlines%20streaklines%20and%20pathlines.pdf
- [1] https://www.sciencedirect.com/topics/engineering/streaklines