Water commonly moves in large channels of different shapes and sizes such as gutters, pipes, underwater passageways. In this example, let's consider the channel which is incredibly wide but relatively short which allows us to simplify the problem. Let's simply consider water flowing between two stationary parallel plates at a gap of $.$ Derive a

velocity equation in the $z$ direction, $v_z.$

We can make a few assumptions:

$v_y=v_x=0$ and $v_z=f(x)$

$,$ Pressure $=f(x)$