Vidyalelo
Chemical Engineering · Q95

Fluid Mechanics

Engineering and GATE · Chemical Engineering · question 95

Q95

Pick out the wrong statement about a streamline.

A.
It is always parallel to the main direction of the fluid flow
B.
It is a line across which there is no flow and it is equivalent to a rigid boundary
C.
Streamlines intersect at isolated point of zero velocity and infintie velocity
Answer
D.
The fluid lying between any two streamlines can be considered to be in isolation and the streamline spacing varies inversely as the velocity

Answer: Option C

Solution

Answer: Option C
Solution:
Streamlines are lines that are tangent to the velocity vector of the flow at every point.

Option A is correct – Streamlines are always parallel to the direction of fluid flow.

Option B is correct – There is no flow across a streamline, making it similar to a rigid boundary in fluid analysis.

Option C is incorrect – Streamlines never intersect. If they did, it would imply two different velocity directions at the same point, which is physically impossible.

Option D is correct – The fluid between two streamlines behaves like an isolated streamtube, and the spacing between streamlines varies inversely with the velocity (closer spacing indicates higher velocity).

Correct Answer: Option C: Streamlines intersect at isolated point of zero velocity and infinite velocity