The two plates separated by a distance $b$ form a channel. One of the plates is porus and the

other one is impermeable. A flow takes place within the channel so that the $x-$component

velocity $u$ is a function of $x$ only and its value at the inlet is $u_0.$ There is a uniform inflow $v_0$

through the porus wall to the channel so that the velocity component $v$ in the $y-$direction

within the channel is a function of $y$ only. Considering the flow to be incompressible, find

the expression of u as a function of x and v as a function of y Fig. $3\mathrm{.}21$

Flow through a channel formed by two plates