A $0\mathrm{.}9$ m$\text{'}$ plate is moving over a fixed plate, separate by a $6$mm thick fluid layer. The upper plate moves at a speed of $0\mathrm{.}45$ m$/$s when a force F is applied on it$.$ The velocity profile across the fluid column can be described as u $=30$y $-500$ y$\text{'}$ m$/$s$,$ where y is in meters. The kinematic viscosity $($v$)$ of freshwater at $20\backslash$deg C is $1\mathrm{.}00$ x$10$ m$/$s$.$