The velocity field in a fluid is given to be V = (4xy)î + 2(x² - y²)ĵ. Which of the following statement(s) is/are correct?

The velocity field is one-dimensional.
The flow is incompressible.
The flow is irrotational.
The acceleration experienced by a fluid particle is zero at (x = 0, y = 0).

Correct answer: The flow is incompressible.

Solution

The flow is incompressible because the divergence of the velocity field is zero, indicating that the fluid density remains constant throughout the flow.

Related GATE Engineering Mathematics questions

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