Define velocity gradient and give its unit. Also,write the dimensional formula of the velocity gradient.

(N/A) The velocity gradient is defined as the rate of change of velocity with respect to the distance perpendicular to the direction of flow.
Mathematically,it is expressed as $\frac{dv}{dx}$,where $dv$ is the change in velocity and $dx$ is the change in distance.
The $SI$ unit of velocity gradient is $\text{per second}$ $(s^{-1})$.
The dimensional formula is calculated as: $\frac{[LT^{-1}]}{[L]} = [M^0L^0T^{-1}]$.