GATE Mechanical 2023 | Question: 52

Question

The velocity field of a certain two-dimensional flow is given by

$\boldsymbol{V}(x, y)=k(x \hat{\imath}-y \hat{\jmath})$

where $k=2 \mathrm{~s}^{-1}$. The coordinates $x$ and $y$ are in meters. Assume gravitational effects to be negligible.

If the density of the fluid is $1000 \mathrm{~kg} / \mathrm{m}^3$ and the pressure at the origin is $100 \mathrm{kPa}$, the pressure at the location $(2 \mathrm{~m}, 2 \mathrm{~m})$ is __________ $\mathrm{kPa}$.

(Answer in integer)