Water enters a wide, flat channel of height 2h with a uniform velocity of 2.5 m/s. At the channel outlet, the velocity distribution is given by the equation below, where y is measured from the centerline of the channel. Assume steady, incompressible flow, density 1000 kg/m3 . Determine the a. Mass flux at the entrance. (5 points) b. Mass flux at the exit. (5 points) c. Rate of change of mass with time within the channel. (5 points) d. Exit centerline velocity, umax. (5 points)

Refrigerant-134a enters the compressor of a refrigerator as superheated vapor at 0.14 mpa and -10°c at a rate of 0.05 ka/s and leaves at 0.8 mpa and 50°c. the refrigerant is cooied in the condenser to 0.72 mpa and 26'c. it is then throttled to 0.15 mpa. sketch the t-s diagram for the system and evaluate: 6) the rate of heat removai from the refrigerated space (kw), it) the power input to the compressor (kw), ii) the isentropic efficiency of the compressor (%), and iv) the cop of the refrigerator.