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Effect of compression ratio (Otto)"<br />

Animation: T-s diagrams, increasing compression ratio (same<br />

displacement volume, same fuel mass fraction (f), thus same heat input)<br />

Higher compression clearly more efficient (taller Carnot strips)<br />

800<br />

Compression Combustion Expansion<br />

Blowdown Intake Exhaust<br />

Close T-s cycle 1 2<br />

3 4 5<br />

6 7<br />

700<br />

Temperature (K)<br />

600<br />

500<br />

400<br />

300<br />

200<br />

T-s diagram<br />

(medium (high (low compression)<br />

100<br />

0<br />

-100 0 100 200 300 400 500<br />

Entropy (J/kg-K)<br />

<strong>AME</strong> <strong>436</strong> - Lecture 8 - Spring 2013 - Ideal cycle analysis<br />

9<br />

Effect of heat input (Otto)"<br />

Animation: P-V diagrams, increasing heat input via increasing f (same<br />

displacement volume, same compression ratio)<br />

Heat in = mC v ( T 4<br />

!T 3 ) = m R " P 4<br />

V 4<br />

! !1 mR ! PV % (<br />

3 3<br />

$<br />

# mR &<br />

' = P ! P )V<br />

4 3<br />

! !1<br />

Pressure (atm)<br />

8.0<br />

7.0<br />

6.0<br />

5.0<br />

4.0<br />

3.0<br />

2.0<br />

1.0<br />

Compression Combustion Expansion<br />

Blowdown Intake Exhaust<br />

Intake start 1 2<br />

3 4 5<br />

6 7<br />

P-V diagram<br />

P-V diagram<br />

(high (low heat input)<br />

(medium heat<br />

0.0<br />

0.0E+00 1.0E-03 2.0E-03 3.0E-03 4.0E-03 5.0E-03 6.0E-03<br />

Cylinder volume (m^3)<br />

<strong>AME</strong> <strong>436</strong> - Lecture 8 - Spring 2013 - Ideal cycle analysis<br />

10<br />

• 5

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