JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech III REFRIGERATION AND AIR CONDITIONING Previous Question Paper (November/December - 2020 - R16)
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Main
An air refrigerator working on the principle of Bell-Coleman cycle. The air into the compressor is at 1 atm at -10°C. It is compressed to 10 atm and cooled to 40°C at the same pressure. It is then expanded to 1 atm and discharged to take cooling load. The air circulation is 1 kg/s. The isentropic efficiency of the compressor = 80%. The isentropic efficiency of the expander = 90%. Find the following:
Answer
Given: P1 = 1 atm, T1 = 263 K, P2 = 10 atm, T3 = 313 K, m = 1 kg/s, ηc = 0.8, ηe = 0.9, γ = 1.4, Cp = 1.00 kJ/kgK.
Isentropic temperature after compression: T2s = T1(P2/P1)^((γ-1)/γ) = 263(10)^0.2857 = 507.2 K. Actual temperature after compression: T2 = T1 + (T2s - T1)/ηc = 263 + (507.2 - 263)/0.8 = 568.25 K.
Isentropic temperature after expansion: T4s = T3(P1/P2)^((γ-1)/γ) = 313(1/10)^0.2857 = 162.25 K. Actual temperature after expansion: T4 = T3 - ηe(T3 - T4s) = 313 - 0.9(313 - 162.25) = 177.33 K.
Refrigeration capacity (QR) = m × Cp × (T1 - T4) = 1 × 1.00 × (263 - 177.33) = 85.67 kW.
Answer
Work done by compressor (Wc) = m × Cp × (T2 - T1) = 1 × 1.00 × (568.25 - 263) = 305.25 kW.
Work done by expander (We) = m × Cp × (T3 - T4) = 1 × 1.00 × (313 - 177.33) = 135.67 kW.
Net work input (Wnet) = Wc - We = 305.25 - 135.67 = 169.58 kW.
C.O.P = QR / Wnet = 85.67 / 169.58 = 0.505.
A dense air refrigeration machine operating on Bell-Coleman cycle operates between 3.4 bar and 17 bar. The temperature of air after the after the cooler is 15°C and after the refrigerator is 6°C. For a refrigeration capacity of 6 tonnes, find:
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A simple saturation cycle using F12 is designed for taking a load of 10 tones. The refrigerator and ambient temperatures are -10°C and 30°C respectively. A minimum temperature difference of 5°C is required in evaporator and condenser for heat transfer. Find:
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A refrigerating plant of 28 kW capacity has its evaporation temperature -8°C and condenser temperature of 30°C. The refrigerant, R-12 is sub-cooled 5°C before entering the expansion valve and the vapour is superheated 6°C before leaving the evaporator coil. The compression of the refrigerant in the compressor is isentropic. If there is a suction pressure drop of 0.2 bar through the valves; and discharge pressure drop through the valve of 0.1 bar, determine the C.O.P. of the plant, theoretical piston displacements/min and the heat removed in the condenser. Solve the problem with the help of P-h chart. Give also a diagrammatic sketch of this cycle on the T-s chart.
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