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Modern Engineering Thermodynamics

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512 CHAPTER 13: Vapor and Gas Power Cycles<br />

EXAMPLE 13.16 (Continued )<br />

State 3 in Figure 13.52b<br />

p 3 = p exhaust = 101 kPa, and since the process from 2s to 3 is a constant volume process, we have T 3 = T 2s (p 3 /p 2s ) = (1760 K)<br />

(101 kPa/901 kPa) = 196 K.<br />

State 4 in Figure 13.52b<br />

p 4 = p 3 = 101 kPa and T 4 = atmospheric temperature.<br />

Exercises<br />

47. Determine the clearance volume in Example 13.16 if the compression ratio is 9.00 to 1 and the expansion ratio is 12.0<br />

to 1. Answer: Clearance volume = 7.96 × 10 –5 m 3 .<br />

48. Determine the pressure and temperature at the end of the compression stroke in Example 13.16 if the supercharger<br />

boost pressure is only 100. kPa instead of 200. kPa. Answer: p 7s =1660 kPa and T 7s = 648 K.<br />

49. If the fuel used in Example 13.16 is changed to a hotter burning fuel with a heating value of 51,700 kJ/kg-fuel,<br />

determine the temperature at the end of the combustion process. Answer: T 1 = 4580 K.<br />

13.21 DIESEL CYCLE<br />

Rudolf Christian Karl Diesel (1858–1913) was a well-educated linguist and social theorist, but most of all, he<br />

was a remarkable engineer. He was born in Paris, but he received his technical education in Munich under Karl<br />

von Linde (1842–1934), a renowned pioneer in mechanical refrigeration.<br />

Though the actual thermal efficiency of Otto’s engine was many times better than that of Lenoir’s, it was still<br />

barely competitive with the ever improving Rankine cycle steam engine. Diesel felt that he could eliminate the<br />

electrical ignition system of the Otto cycle engine if he could compress the air to the point where its temperature<br />

would be high enough to cause the fuel to ignite spontaneously. This would raise the maximum temperature of<br />

the cycle and consequently improve its thermal efficiency. He also felt that a higher combustion temperature<br />

would allow cheaper, heavier hydrocarbon fuels (such as kerosene, a common lamp oil in the late 19th century)<br />

to be used. On August 10, 1893, Diesel’s first compression ignition engine ran under its own power for the first<br />

time, and by 1898, Diesel had become a millionaire simply by selling franchises for the industrial use of his<br />

engine. 11<br />

Diesel had originally intended to create an isothermal combustion process in the cylinder, so as to eliminate the<br />

heat transfer irreversibilities and thus approach the Carnot cycle thermal efficiency. He was not able to do this;<br />

instead, the ASC model of his cycle consists of two isentropic processes (compression and power), one isobaric<br />

process (combustion), and one isochoric process (exhaust), as shown in Figure 13.53.<br />

DR. DIESEL VANISHES FROM A STEAMSHIP<br />

Inventor of Oil Engine Missing after a Journey from Antwerp to Harwich<br />

By Marconi Transatlantic Wireless Telegraph to The New York Times<br />

LONDON, Sept.30.—Dr. Rudolf Diesel, the famous inventor of the Diesel oil engine, has disappeared in most mysterious<br />

circumstances. He left Antwerp yesterday to attend in London the annual meeting of the Consolidated Diesel Engine Manufacturers.<br />

He embarked on the steamer Dresden, accompanied by a fellow Director, George Carels, and Herr Luckmann,<br />

Chief Engineer of the company.<br />

Dr. Diesel had a cabin to himself. On the arrival of the vessel at Harwich at 6 o’clock this morning he was missing. His bed<br />

had not been slept in, though his night attire was laid out on it.<br />

It is conjectured by his friends that Dr. Diesel fell overboard. He complained to a friend some time ago that he was<br />

occasionally troubled with insomnia, and it is possible that when his friends retired to their cabins he decided to continue<br />

11 Diesel’s 1893 test engine compressed air to 80 atm, a pressure never before achieved by a machine. He was nearly killed when the<br />

engine subsequently exploded.

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