Chapter 9: Problem 45
Do diesel or gasoline engines operate at higher compression ratios? Why?
Chapter 9: Problem 45
Do diesel or gasoline engines operate at higher compression ratios? Why?
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Get started for freeExhaust gases from the turbine of a simple Brayton cycle are quite hot and may be used for other thermal purposes. One proposed use is generating saturated steam at \(110^{\circ} \mathrm{C}\) from water at \(30^{\circ} \mathrm{C}\) in a boiler. This steam will be distributed to several buildings on a college campus for space heating. A Brayton cycle with a pressure ratio of 6 is to be used for this purpose. Plot the power produced, the flow rate of produced steam, and the maximum cycle temperature as functions of the rate at which heat is added to the cycle. The temperature at the turbine inlet is not to exceed \(2000^{\circ} \mathrm{C}\)
How does the ideal Diesel cycle differ from the ideal Otto cycle?
An ideal diesel engine has a compression ratio of 20 and uses air as the working fluid. The state of air at the beginning of the compression process is \(95 \mathrm{kPa}\) and \(20^{\circ} \mathrm{C}\). If the maximum temperature in the cycle is not to exceed \(2200 \mathrm{K}\) determine \((a)\) the thermal efficiency and \((b)\) the mean effective pressure. Assume constant specific heats for air at room temperature.
A gas-turbine power plant operates on the regenerative Brayton cycle between the pressure limits of 100 and \(700 \mathrm{kPa}\). Air enters the compressor at \(30^{\circ} \mathrm{C}\) at a rate of \(12.6 \mathrm{kg} / \mathrm{s}\) and leaves at \(260^{\circ} \mathrm{C}\). It is then heated in a regenerator to \(400^{\circ} \mathrm{C}\) by the hot combustion gases leaving the turbine. A diesel fuel with a heating value of \(42,000 \mathrm{kJ} / \mathrm{kg}\) is burned in the combustion chamber with a combustion efficiency of 97 percent. The combustion gases leave the combustion chamber at \(871^{\circ} \mathrm{C}\) and enter the turbine whose isentropic efficiency is 85 percent. Treating combustion gases as air and using constant specific heats at \(500^{\circ} \mathrm{C}\), determine (a) the isentropic efficiency of the compressor, ( \(b\) ) the effectiveness of the regenerator, \((c)\) the air-fuel ratio in the combustion chamber, \((d)\) the net power output and the back work ratio, \((e)\) the thermal efficiency, and \((f)\) the second-law efficiency of the plant. Also determine \((g)\) the second-law efficiencies of the compressor, the turbine, and the regenerator, and \((h)\) the rate of the energy flow with the combustion chamber with a combustion efficiency of 97 percent. The combustion gases leave the combustion chamber at \(871^{\circ} \mathrm{C}\) and enter the turbine whose isentropic efficiency is 85 percent. Treating combustion gases as air and using constant specific heats at \(500^{\circ} \mathrm{C}\), determine (a) the isentropic efficiency of the compressor, (b) the effectiveness of the regenerator, (c) the air-fuel ratio in the combustion chamber, \((d)\) the net power output and the back work ratio, \((e)\) the thermal efficiency, and \((f)\) the second-law efficiency of the plant. Also determine \((g)\) the second-law efficiencies of the compressor, the turbine, and the regenerator, and \((h)\) the rate of the energy flow with the combustion gases at the regenerator exit.
Electricity and process heat requirements of a manufacturing facility are to be met by a cogeneration plant consisting of a gas turbine and a heat exchanger for steam production. The plant operates on the simple Brayton cycle between the pressure limits of 100 and 1000 kPa with air as the working fluid. Air enters the compressor at \(20^{\circ} \mathrm{C}\). Combustion gases leave the turbine and enter the heat exchanger at \(450^{\circ} \mathrm{C},\) and leave the heat exchanger of \(325^{\circ} \mathrm{C},\) while the liquid water enters the heat exchanger at \(15^{\circ} \mathrm{C}\) and leaves at \(200^{\circ} \mathrm{C}\) as a saturated vapor. The net power produced by the gas-turbine cycle is \(1500 \mathrm{kW}\). Assuming a compressor isentropic efficiency of 86 percent and a turbine isentropic efficiency of 88 percent and using variable specific heats, determine \((a)\) the mass flow rate of air, \((b)\) the back work ratio and the thermal efficiency, and \((c)\) the rate at which steam is produced in the heat exchanger. Also determine \((d)\) the utilization efficiency of the cogeneration plant, defined as the ratio of the total energy utilized to the energy supplied to the plant.
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