Thermodynamics problem

[mpn17]

1) Asaturated water mixture enters a 1m x 1m channel at T₁=70^oC,and ν₁=1.0m³/kg, the velocity has a profile of V(x) =100(x-x²) m/s in the x direction and is uniform in the y direction(Hint: velocity at x=0.5, is 25m/s, Section 4.2.3). The channel splits into twocircular channels, transporting the saturated vapor out of the system in onechannel, and the saturated liquid in the other. Determine the mass flow rate through each channel. Determine the exit area of each pipe if the averagevelocity is V_e,1=15m/s for the steam and V_e2 =0.1m/s forthe liquid respectively (A_liquid=0.137m²).