Streamline in a flow is:

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SSC JE ME Previous Paper 8 (Held on: 27 October 2020 Evening)
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  1. tangent to the velocity vector at any instant in time
  2. actual path followed by a fluid particle
  3. locus of fluid particles that have earlier passed through a given point
  4. tangent to the acceleration vector at any instant in time

Answer (Detailed Solution Below)

Option 1 : tangent to the velocity vector at any instant in time
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Detailed Solution

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Explanation:

Streamlines:

  • Streamlines are a family of curves that are instantaneously tangent to the velocity vector of the flow.
  • These show the direction in which a massless fluid element will travel at any point in time.

Streaklines:

  • Streaklines are the loci of points of all the fluid particles that have passed continuously through a particular spatial point in the past.
  • Dye steadily injected into the fluid at a fixed point extends along a streak line.

Pathlines:

  • Pathlines are the trajectories that individual fluid particles follow.
  • These can be thought of as "recording" the path of a fluid element in the flow over a certain period.
  • The direction the path takes will be determined by the streamlines of the fluid at each moment in time.

For steady flow, path lines, streamlines, and streaklines coincide.

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