Oil $($SAE $30)$ at $15\mathrm{.}6C$ flows steadily between fixed, horizontal, parallel plates. The pressure drop per unit length along the channel is $32kP\frac{a}{m},$ and the distance between the plates is $6$ mm $.$ The flow is laminar.

First, determine the volume rate of flow $($per meter of width$).$

$q=-,\frac{m^2}{s}$