The two plates separated by a distance b form a channel (Fig XXXXXXXXXXOne of the plates is porus and the other one is impermeable. A flow takes place within the channel so that the x component...

The two plates separated by a distance b form a channel (Fig. 3.21). 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 u₀. There is a uniform inflow v₀
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.