Multiple choice

The velocity in m/s at a point in a two-dimensional flow is given as $\bar{V} = 2 \hat{i} + 3 \hat{j}$ The equation of the stream line passing through the point is

  1. 3dx - 2dy = 0

  2. 2x + 3y = 0

  3. 3dx + 2dy = 0

  4. 3xy = 6

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A Correct answer
Explanation

The streamline equation is dx/u = dy/v. Substituting u=2 and v=3 gives dx/2 = dy/3, which simplifies to 3dx - 2dy = 0.