GATE Civil 2024 Set 1 | Question: 32

Question

​​​​A flow velocity field $\vec{V}: \vec{V}(x, y)$ for a fluid is represented by
\[
\vec{V}=3 \hat{\imath}+(5 x) \hat{\jmath}
\]

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.