$()$ q is leakage mass flow rate per unit depth in y direction. Answer the following questions. Flow is assumed to be incompressible, inviscid, and uniform in tangential direction.

a$)$ When flow at station $4$ is assumed to be uniformly fully mixed, calculate velocities in x and y directions and pressure at station $4.$

Figure $2.$ Flow field with uniform mixing at station $4.$

b$)$ When flow at station $4$ is assumed to be not mixed, calculate ratio of leakage flow passage height and total passage height $(\frac{}{H}),$ velocities of leakage flow $(V_{x4}^{+},V_{y4}^{+})$and main passage flow $(V_{x4}^{-},V_{y4}^{-})$in x and y directions and pressure at station $4(P_4),P_4$ for $$ and $P_4$ for $H-$ are the same.

Figure $3.$ Flow field with $2$ layer flow at station $4.$Please show working