GATE XE 2026 XE-B Q37: Kinematics of Fluid Motion

The velocity of a fluid part in a flow is given as:

where

are constants, and

are unit vectors in x-, y-, z-directions, respectively. Which of the following statements is/are correct?

Your answerSelect all correct options. You can choose more than one.

The flow is steady for any value of a, b, and c.

At a point

, the velocity component in x-direction is higher than the velocity components in y- and z-directions for

, and

The point

is a stagnation point for

and

The acceleration of the flow along the x-direction is not constant for any value of a, b, and c.

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