Question

A flow velocity field $\vec V:\vec V(x, y)$ for a fluid is represented by
$\vec V = 3\hat i+ (5x)\hat j$
In the context of the fluid and the flow, which one of the following statements is CORRECT?

• A. The fluid is incompressible and the flow is rotational.
• B. The fluid is incompressible and the flow is irrotational.
• C. The fluid is compressible and the flow is rotational.
• D. The fluid is compressible and the flow is irrotational.

Answer 1

Answer: (A)

The fluid is incompressible and the flow is rotational.

Answer 2

The correct option is (A): The fluid is incompressible and the flow is rotational.