Design a two-stage cascade refrigeration system by determining the intermediate pressures (with T3 - T8 = 8 °C) required to maximize the COP of cycle

Thermodynamics II
Design Problem
Design a two-stage cascade refrigeration system by determining the intermediate pressures (with T3 - T8 = 8 °C) required to maximize the COP of cycle. The system operates between the pressure limits of 100 kPa and 1400 kPa. The isentropic efficiency of both compressors is taken as 70%. The system is required to provide a cooling capacity of 100 kW. Ignore pressure drops in the heat exchangers. Also, assume the fluid to be saturated vapor at the inlet to both the compressors and saturated liquid at the exit of both the condensers. Calculate the mass flow rate of the refrigerant through both the upper and lower cycles under different combinations.
Deliverables
Your report should include a schematic, the calculations procedure with relevant equations. An executive summary describing the highlights of your achievements should be provided. Be sure to state all assumptions clearly. A T-s and P-h diagrams for the cycle should be provided along with a table showing the pressure, temperature, entropy and enthalpy of all the states at the optimized operating condition.. Also, mention the rate of heat rejected from the refrigerant to the ambient as well as the total power input at the optimized point for the following fluid:
(a) R134a in both cycles,
(b) R-134a in the lower cycle (B), and R-22 in the upper cycle (A) .
Also, discuss the use of cascade refrigeration systems for various applications in the industry. In this regard you may have to go through some Internet sites
Your detailed report should be submitted on or before the last day of classes i.e. 01 May, 2018.
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