Question

Choose the CORRECT option for pathlines, streaklines and streamlines for a STEADY flow field.

• A. All three lines are identical
• B. Only pathlines and streaklines are identical
• C. Only pathlines and streamlines are identical
• D. Only streamlines and streaklines are identical

Hint:

Understanding the relationship between different flow lines in fluid dynamics is essential for visualizing fluid motion and analyzing fluid behavior.

Answer 1

The Correct Option is A

Step 1: Define Each Line Type.
Pathlines: the trajectory that individual fluid particles follow.
Streamlines: lines that are tangent to the velocity vector of the flow at every point.
Streaklines: the locus of particles that have passed sequentially through a particular point. 
Step 2: Relationship in Steady Flow.
In a steady flow, where the flow properties at any point do not change over time, pathlines, streaklines, and streamlines coincide.