Week 10. Gas Power Cycles. ME 300 Thermodynamics II 1

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Week 10 Gas Power Cycles ME 300 Thermodynamics II 1

Today s Outline Gas power cycles Internal combustion engines Four-stroke cycle Thermodynamic cycles Ideal cycle ME 300 Thermodynamics II 2

Gas Power Cycles Working fluid (WF) is in gas phase most of cycle Examples include internal combustion (IC) engines such as spark-ignition, diesel, and gas turbine engines Heat engine burning fuel in confined space e.g. combustion chamber Hence, composition of working fluid changes we will assume WF is air AF is typically high Produces high T and P gases which are allowed to expand directly causing movement and hence work Operate on open cycle we will model as closed Compare to external combustion engine e.g. steam engine ME 300 Thermodynamics II 3

Air Standard Assumptions (ASA) for Ideal Cycle WF is air, continuously circulating in a closed loop and behaves as ideal gas All processes in cycle are internally reversible Combustion process replaced by heat addition from external source (see next slide) Intake/exhaust replaced by heat rejection which restores WF to initial state For qualitative results, cold air standard assumptions (CASA) assume constant specific heats using room temperature (25C) values ME 300 Thermodynamics II 4

Modeling Combustion Process as Heat Addition ME 300 Thermodynamics II 5

How about air standard Carnot cycle as ideal cycle? Carnot yields maximum efficiency TL η Carnot = 1 T Executed in closed system or open steadyflow device (see next slide) Efficiency increases with increasing/decreasing high/low temperature Reversible isothermal heat transfer not practical H ME 300 Thermodynamics II 6

Carnot Cycle in Open Steady-Flow Devices ME 300 Thermodynamics II 7

Reciprocating Engines ME 300 Thermodynamics II 8

Mean Effective Pressure (MEP) Imaginary pressure which if acted on the piston during the power stroke (outward stroke) would produce same amount of net work as during actual cycle. ME 300 Thermodynamics II 9

Classes of Reciprocating Engines Come on baby, light my fire... Try to set the fuel on fire! Doors (1970) Gasoline engine is a homogeneous charge sparkignition engine Diesel engine is a stratified charge compression ignition engine Homogeneous charge compression ignition http://www.me.berkeley.edu/cal/hcci/ ME 300 Thermodynamics II 10

Engine Comparison http://www.me.berkeley.edu/cal/hcci/ ME 300 Thermodynamics II 11

Computational Fluid Dynamics (CFD) as analysis/design tool Fuel spray in SI engine Swirl effects diesel fuel spray Diesel combustion NO formation in Diesel engine ME 300 Thermodynamics II 12

Four-stroke cycle Most commonly used IC engine e.g. cars, trucks, generators Four strokes of piston inside cylinder Intake stroke Compression stroke Power stroke Exhaust stroke Spark-ignition (SI) or compression-ignition (CI) versions http://en.wikipedia.org/wiki/four-stroke_cycle ME 300 Thermodynamics II 13

Four-stroke cycle first half Top dead center (TDC) Starting position Intake stroke Compression stroke ME 300 Thermodynamics II 14

Four-stroke cycle second half Ignition of fuel Power stroke Exhaust stroke ME 300 Thermodynamics II 15

Ideal Otto Cycle - pictures Do you like my cycle? ME 300 Thermodynamics II 16

Ideal Otto cycle - details 4 internally reversible processes 1-2 isentropic compression 2-3 v=constant heat addition 3-4 isentropic expansion 4-1 v=constant heat rejection ME 300 Thermodynamics II 17

Ideal Otto Cycle - Analysis Conservation of energy ME 300 Thermodynamics II 18

Ideal Otto Cycle - Analysis ME 300 Thermodynamics II 19

Ideal Otto Cycle - Performance ME 300 Thermodynamics II 20

Ideal Otto Cycle Variable Specific Heats ME 300 Thermodynamics II 21

Example An ideal Otto cycle has a compression ratio of 8. Pre-compression air conditions are 100kPa, 17C and 800 kj/kg heat transferred to air during v=constant heat-addition process. Accounting for variable specific heats determine: (a) maximum T, P, (b) net work output, (c) thermal efficiency, (d) MEP. ME 300 Thermodynamics II 22

Example ME 300 Thermodynamics II 23

Example ME 300 Thermodynamics II 24

Example ME 300 Thermodynamics II 25

Summary Air standard assumptions turn IC engines into EC engines for modeling Reciprocating engines make pistoncylinder device a reality! Learn the lingo! Spark-ignition engine modeled as ideal Otto cycle Combustion modeled as constant volume, e.g. instantaneous, heat addition Who s that knocking at my door? ME 300 Thermodynamics II 26

Today s Outline Diesel cycle Diesel cycle analysis Diesel cycle example ME 300 Thermodynamics II 27

Diesel Cycle Ideal Cycle for CI Engines My cycle is better than Otto s! Rudolf Diesel (1890s) ME 300 Thermodynamics II 28

Diesel Spray/Flame http://transtech.anl.gov/v3n3/additives.html Penetration of diesel sprays into different ambient pressures. The top spray is into 1 atm N2 gas, the middle spray is into 2 atm N2 gas, and the bottom spray is into 5 atm N2 gas. The fuel-injection pressures (500 bar) and the time elapsed for each injection event (110 microseconds) is identical for each image. ME 300 Thermodynamics II 29

Diesel Flame (Dec, SAE970873) http://www.llnl.gov/tid/lof/documents/pdf/235419.pdf ME 300 Thermodynamics II 30

Out with the Old and in with the New! ME 300 Thermodynamics II 31

Diesel Cycle - Details 4 reversible processes 1-2 isentropic compression 2-3 constant pressure heat addition 3-4 isentropic expansion 4-1 constant volume heat rejection ME 300 Thermodynamics II 32

Diesel Cycle - Analysis ME 300 Thermodynamics II 33

Diesel Cycle - Analysis ME 300 Thermodynamics II 34

Diesel Cycle - Performance ME 300 Thermodynamics II 35

Dual Cycle ME 300 Thermodynamics II 36

Example An ideal Diesel cycle with air as working fluid has a compression ratio of 18 and a cutoff ratio of 2. At the beginning of compression process, working fluid is at 14.7psia and 80F, and 117in3. Utilizing the CASA, determine (a) T, P at end of each process, (b) net work output and thermal efficiency, and (c) MEP. ME 300 Thermodynamics II 37

Example ME 300 Thermodynamics II 38

Example ME 300 Thermodynamics II 39

Example ME 300 Thermodynamics II 40

Summary Diesel cycle is ideal cycle for CI engine Combustion process modeled as constant pressure heat addition For same r, Otto is more efficiency than Diesel But, Diesel can reach higher r s since no knock but mixing/pollutants challenge Active research area HCCI, hybrids, fuel-cells, etc. ME 300 Thermodynamics II 41