There are two parallel plates containing water at $293\mathrm{.}15$ K separated by $0\mathrm{.}2$ cm$.$ The plates They form an angle of $45\backslash$deg with the vertical. The upper plate moves with a speed of $5$ m$/$s in the direction indicated in the figure while the bottom plate remains stationary. A pressure gradient of $15$ kPa. Perform a differential momentum balance and determine: $($a$)$ the velocity profile in the fluid, $($b$)$ graphically and analytically determine the location and value of the maximum velocity and $($c$)$ the volumetric flow between the palcas. Be explicit in any assumptions you make.