Fluid Mechanics - Kinematics

Water flows through a pipe with a velocity given by $\vec{V} = (\frac{4}{t} + x + y)\hat{j}$ m/s, where $\hat{j}$ is the unit vector in the y direction, $t (> 0)$ is in seconds, and x and y are in meters. The magnitude o...

For a steady flow, the velocity field is $\vec{V} = (-x^2 + 3y)\hat{i} + (2xy)\hat{j}$. The magnitude of the acceleration of a particle at $(1,-1)$ is

In a Lagrangian system, the position of a fluid particle in a flow is described as $x = x_0e^{-kt}$ and $y = y_0e^{kt}$ where $t$ is the time while $x_0, y_0$, and $k$ are constants. The flow is