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 rex = vs/V1. Initially (state 1) the temperature is T1 = 682 °C and the specific volume is v: = 0.04135 m³/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 rai = 20.

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 rex = vs/V1. Initially (state 1) the temperature is T1 = 682 °C and the specific volume is v: = 0.04135 m³/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 rai = 20.

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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Question

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 rex = vs/v1.
Initially (state 1) the temperature is T1 = 682 °C and the specific volume is vi =
Piston
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.
Treat air as an ideal gas.
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
each state. Indicate the total specific work done, 1ws.

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