Multiple choice

Consider the following statements regarding streamline(s):

(i) It is a continuous lines such that the tangent at any point on it shows the velocity vector at the point. (ii) There is no flow across streamlines. (iii) $\frac{dx}{u}$ = $\frac{dv}{v}$ = $\frac{dz}{w}$ is the differential equation of a streamline, where u, v and w velocities in directions x, y and z, respectively. (iv) In an unsteady flow, the path of a particle is a streamline.

Which one of the following combinations of the statements is true?

  1. (i), (ii), (iv)

  2. (ii), (iii), (iv)

  3. (i), (iii), (iv)

  4. (i), (ii), (iii)
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Stream lines: Stream lines are the Family of curves that are instantaneously tangent to the velocity vector of the flow. These shows the direction a fluid element will travel in at any point. Path lines: - Path lines are the trajectories that individual fluid particles follow.

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