The expansion phase of a simplified diesel cycle is simulated by an air-filled piston-cylinder system, as shown in the figure. A servo-actuator attached to the piston controls the pressure. The air...


The expansion phase of a simplified diesel cycle is simulated by an air-filled<br>piston-cylinder system, as shown in the figure. A servo-actuator attached to the<br>piston controls the pressure. The air first undergoes a constant pressure<br>expansion followed by a polytropic expansion (with n=1.4). The ratio of final<br>specific volume to initial specific volume, rex, is rex = vs/V1.<br>Initially (state 1) the temperature is T1 = 682 °C and the specific volume is vi =<br>0.04135 m/kg. Heat is transferred to the air during the constant pressure<br>process, 192, and the air temperature increases to T2 = 2475 °C (state 2). During<br>the polytropic expansion process the volume is increased to meet the design<br>expansion ratio of rex = 20.<br>Piston<br>Treat air as an ideal gas.<br>a) Determine the initial pressure, P1.<br>b) Determine the pressure and specific volume at state 2, P2 and v2, respectively.<br>c) Determine the specific volume, v3, pressure, P3, and temperature, T3, at the end of the<br>polytropic expansion.<br>d) Determine the specific heat transfer from state 1 to 2, 192.<br>e) Determine the specific work from state 2 to 3, zw3.<br>f) Draw the state points and process lines on a P-v (pressure-specific volume) diagram. Include<br>constant temperature lines and label the pressure and specific volume values corresponding to<br>each state. Indicate the total specific work done, 1ws.<br>

Extracted text: The expansion phase of a simplified diesel cycle is simulated by an air-filled piston-cylinder system, as shown in the figure. A servo-actuator attached to the piston controls the pressure. The air first undergoes a constant pressure expansion followed by a polytropic expansion (with n=1.4). The ratio of final specific volume to initial specific volume, rex, is rex = vs/V1. Initially (state 1) the temperature is T1 = 682 °C and the specific volume is vi = 0.04135 m/kg. Heat is transferred to the air during the constant pressure process, 192, and the air temperature increases to T2 = 2475 °C (state 2). During the polytropic expansion process the volume is increased to meet the design expansion ratio of rex = 20. Piston Treat air as an ideal gas. a) Determine the initial pressure, P1. b) Determine the pressure and specific volume at state 2, P2 and v2, respectively. c) Determine the specific volume, v3, pressure, P3, and temperature, T3, at the end of the polytropic expansion. d) Determine the specific heat transfer from state 1 to 2, 192. e) Determine the specific work from state 2 to 3, zw3. f) Draw the state points and process lines on a P-v (pressure-specific volume) diagram. Include constant temperature lines and label the pressure and specific volume values corresponding to each state. Indicate the total specific work done, 1ws.

Jun 11, 2022
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