kindly help solve the queation concisely as i do not understand the solution posted ealier and it does look wrong.

thank you

Deen, Problem 9-12 - Channel with Cross Flow Suppose that there is simultaneous axial and cross flow in ? channel with plate spacing, as shown in Fig. P9-12. The flow is steady and fully developed, and the axial pressure gradient () and wall velocity () are constant, such that and . If , the flow will be nearly inviscid, except for a boundary layer at one wall. The axial velocity, , can be evaluated ther by solving a two-region (inviscid plus boundary-layer) problem. Because an analytical solution that is valid for all can also be found, a rare opportunity is provided to compare a boundary-layer approximation with an exact result. a) Formulate the problem exactly (write out the full steady. state Navier-Stokes and simplify what you can - it's probably a good idea to start by writing out the Continuity Equation first and seeing what happens there in terms of the dimensionless variables and , choosing the velocity scale () as if the entire flow were inviscid. (Hint: to find the velocity scale, pick so that all coefficients will be 1 for the inviscid Navier-Stokes equation) b) Find the solution for the inviscid region. Where must the boundary layer be located? c) Rescale the coordinate for the boundary layer. Obtain th solution there, using asymptotic matching as needed. d) Find the exact solution for . e) Construct a plot that compares the exact and inviscid solutions at with the solution from the two-region analysis