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Consider the following statements regarding streamline(s): (i) It is a continuous line such that the tangent at any point on it shows the velocity vector at that point (ii) There is no flow across streamlines (iii) dx/u = dy/v = dz/w is the differential equation of a streamline, where u, v and w are 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)

Correct answer: (i), (ii), (iii)

Solution

Statements (i), (ii), and (iii) accurately describe the properties of streamlines in fluid dynamics. (i) indicates that streamlines represent the direction of flow, (ii) confirms that fluid does not cross streamlines, and (iii) provides the mathematical relationship that defines a streamline based on velocity components.

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