The GATE Grind

GATE 2024 ES – Question 26

Water Resources and Environmental Hydraulics · Environmental Hydraulics · 1 mark · Multiple select

Which fluid-flow statements are correct?

  1. A streamline’s tangent gives the local velocity direction.
  2. A streakline is the actual trajectory of one particle in unsteady flow.
  3. Streakline and streamline coincide in steady flow.
  4. Pathline and streamline coincide in steady flow.

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Show answer and explanation

Correct answer: (A) A streamline’s tangent gives the local velocity direction.; (C) Streakline and streamline coincide in steady flow.; (D) Pathline and streamline coincide in steady flow.

Explanation

A is the definition of a streamline. B instead defines a pathline; a streakline is the locus of particles that have passed through a fixed point. In steady flow, the velocity field does not change with time, so streamlines, pathlines and streaklines coincide. Select **A, C, D**.

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