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, re, is re = vs/v1. Initially (state 1) the temperature is T1 = 682 °C and the specific volume is vi = 0.04135 m²/kg. Heat is transferred to the air during the constant pressure process, 192, and the air temperature increases to T; = 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, P. b) Determine the pressure and specific volume at state 2, Pz and vz, respectively. c) Determine the specific volume, vs, pressure, Ps, and temperature, Ts, 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, zws. 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
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, re, is re = vs/v1. Initially (state 1) the temperature is T1 = 682 °C and the specific volume is vi = 0.04135 m²/kg. Heat is transferred to the air during the constant pressure process, 192, and the air temperature increases to T; = 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, P. b) Determine the pressure and specific volume at state 2, Pz and vz, respectively. c) Determine the specific volume, vs, pressure, Ps, and temperature, Ts, 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, zws. 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
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image 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.
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