UNIT 4: Internal Combustion Engines - Comprehensive Notes
1.0 Air Standard Cycles and Analysis
1.1 Otto Cycle (Spark Ignition)
Processes (4-stroke, closed cycle):
-
1-2: Isentropic compression (V₁ → V₂, r = V₁/V₂)
-
2-3: Constant volume heat addition (Q_in)
-
3-4: Isentropic expansion (power stroke)
-
4-1: Constant volume heat rejection (Q_out)
P-V & T-S Diagrams:
Thermal Efficiency Derivation:
For air as ideal gas with constant specific heats:
$$ \eta_{\text{Otto}} = 1 - \frac{1}{r^{\gamma-1}} $$
where \( r \) = compression ratio, \( \gamma = C_p/C_v \).
Work & Heat:
-
Net work: \( W_{\text{net}} = Q_{\text{in}} - Q_{\text{out}} \)
-
\( Q_{\text{in}} = C_v (T_3 - T_2) \), \( Q_{\text{out}} = C_v (T_4 - T_1) \)
Mean Effective Pressure (MEP):
$$ \text{MEP} = \frac{W_{\text{net}}}{V_1 - V_2} = \frac{Q_{\text{in}} \left(1 - \frac{1}{r^{\gamma-1}}\right)}{V_1 \left(1 - \frac{1}{r}\right)} $$
Effect of Compression Ratio:
Efficiency increases with \( r \). Practical limit set by knock in SI engines.
High-Frequency Problem Type:
Given: \( r \), \( P_1, T_1 \), \( Q_{\text{in}} \)
Find: \( T_3 \), \( \eta \), \( W_{\text{net}} \), \( Q_{\text{out}} \)
Steps:
-
\( T_2 = T_1 \cdot r^{\gamma-1} \)
-
\( T_3 = T_2 + Q_{\text{in}}/C_v \)
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\( T_4 = T_3 / r^{\gamma-1} \)
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\( \eta = 1 - T_1/T_2 \) (or formula)
-
\( W = Q_{\text{in}} - C_v(T_4 - T_1) \)
[!TIP] Common Pitfall: Forgetting that \( Q_{\text{in}} \) is per kg of air, not per cycle. Use consistent units (kJ/kg).
Loss Due to Variable Specific Heats:
Real cycle efficiency is lower than air-standard because \( C_v, C_p \) increase with temperature, reducing the effective \( \gamma \).
1.2 Diesel Cycle (Compression Ignition)
Processes:
-
1-2: Isentropic compression
-
2-3: Constant pressure heat addition (Q_in)
-
3-4: Isentropic expansion
-
4-1: Constant volume heat rejection
P-V & T-S Diagrams:
Thermal Efficiency:
$$ \eta_{\text{Diesel}} = 1 - \frac{1}{r^{\gamma-1}} \cdot \frac{\rho^{\gamma} - 1}{\gamma (\rho - 1)} $$
where \( \rho = V_3/V_2 \) = cut-off ratio.
Cut-off Ratio Effect:
For same \( r \), efficiency decreases as \( \rho \) increases (longer constant pressure heat addition).
High-Frequency Problem Type:
Given: \( r \), \( \rho \) (or % of stroke), find \( \eta \).
Direct substitution in formula.
Comparison with Otto Cycle:
At same \( r \), Otto cycle is more efficient because heat addition at constant volume gives higher \( T_{\text{max}} \) but less heat rejection. Diesel allows higher \( r \) without knock, so real diesel engines often have higher practical efficiency.
1.3 Ideal Cycle Analysis
Salient Points: 1 (start compression), 2 (end compression), 3 (end heat addition), 4 (end expansion).
Given: \( P_1, T_1 \), \( r \), \( P_3 \) (peak pressure) or \( Q_{\text{in}} \).
Find: All \( P, T, V \) at points 1,2,3,4.
Assumptions:
-
Air is ideal gas: \( PV = mRT \)
-
Constant \( C_v, C_p, \gamma \)
-
All processes reversible.
Key Relations:
-
Isentropic: \( P_2/P_1 = (V_1/V_2)^\gamma = r^\gamma \), \( T_2/T_1 = r^{\gamma-1} \)
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Constant volume: \( P_3/T_3 = P_2/T_2 \)
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Constant pressure: \( V_3/T_3 = V_2/T_2 \)
-
Isentropic expansion: \( T_4/T_3 = (V_4/V_3)^\gamma = (1/r)^\gamma \) (since \( V_4 = V_1 \))
2.0 Combustion in Spark Ignition (SI) Engines
2.1 Stages of Combustion
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Ignition Lag (Pre-flame phase): Spark initiates chemical reactions; no visible flame.
-
Flame Propagation: Flame front moves from spark plug across chamber.
-
Afterburning: Combustion of remaining gases behind flame front; completes by ~20° ATDC.
Pressure-Crank Angle Diagram:
2.2 Flame Propagation
Normal Combustion: Flame travels uniformly at speed 10-50 m/s.
Factors Affecting Flame Speed:
-
Turbulence: ↑ turbulence → ↑ flame speed (most significant)
-
Compression ratio: ↑ CR → ↑ pressure/temperature → ↑ flame speed
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Spark location: Centered → shorter travel distance
-
Mixture composition: Stoichiometric (~λ=1) gives fastest flame; very lean/rich slows flame.
-
Engine speed: Indirectly via turbulence.
2.3 Abnormal Combustion
Detonation (Knock):
-
Definition: Spontaneous auto-ignition of end-gas ahead of flame front, causing pressure waves ("pinging").
-
Theories:
-
Chemical: Chain reaction in end-gas.
-
Thermodynamic: End-gas reaches auto-ignition temperature due to compression by flame.
-
-
Effects: Piston/head damage, power loss, overheating.
Variables Affecting Knock:
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Compression ratio (↑ CR → ↑ knock tendency)
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Spark timing (advanced → ↑ knock)
-
Inlet temperature/pressure (↑ → ↑ knock)
-
Altitude (↓ pressure → ↓ knock)
-
Fuel octane number (↑ → ↓ knock)
-
Engine design (combustion chamber shape, cooling)
Pre-ignition:
-
Definition: Fuel ignites before spark (from hot spots: glowing deposits, exhaust valve).
-
Causes: Lean mixture, overheating, sharp edges.
-
Remedy: Better cooling, fuel additives, decarbonizing.
[!TIP] Knock vs Pre-ignition: Knock occurs after spark; pre-ignition occurs before spark. Both damaging but different mechanisms.
2.4 Ignition Lag
Definition: Time interval between spark discharge and start of flame propagation (measured in crank angle degrees).
Significance: Affects pressure rise rate, knock tendency. Shorter lag → more controlled combustion.
Effect of Engine Variables:
| Variable | Effect on Ignition Lag |
|---|---|
| ↑ Pressure/Temperature of mixture | ↓ Lag (faster reactions) |
| Mixture strength (λ) | Stoichiometric → shortest lag |
| ↑ Turbulence | ↓ Lag (better mixing) |
| Spark plug gap (larger) | ↓ Lag (bigger kernel) |
| Electrode material (hotter) | ↓ Lag |
| Fuel octane number (↑) | ↑ Lag (resists auto-ignition) |
2.5 Combustion Chamber Design for SI Engines
Desirable Characteristics:
-
Compact shape → short flame travel, high flame speed.
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High surface-to-volume ratio? Actually, low surface-to-volume ratio reduces heat loss, but some designs use swirl to enhance turbulence.
-
Swirl/tumble generation → turbulence for faster flame.
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Avoid crevices → reduce unburned HC emissions.
-
Proper spark plug location → central or near intake valve.
Types with Sketches:
| Chamber Type | Features | Pros | Cons |
|---|---|---|---|
| Wedge | Simple, valves on one side | Cheap, good for OHV | Moderate swirl, not optimal |
| Hemispherical (Hemi) | Valves at angles, central spark | High compression, excellent breathing | Complex, expensive, high heat loss |
| Pent-roof | Modern, 4-valve, shallow roof | High turbulence, compact | Complex head casting |
| Bathtub/Heron | Bowl in piston, side valve | Simple, low cost | Poor breathing, high emissions |
| Swirl chamber (pre-combustion) | Auxiliary chamber connected by orifice | Good for lean burn | Heat loss, lower efficiency |
3.0 Combustion in Compression Ignition (CI) Engines
3.1 Stages of Combustion
-
Ignition Delay Period: Fuel injected but not yet burning.
-
Physical delay: Atomization, vaporization, mixing.
-
Chemical delay: Pre-flame reactions.
-
-
Rapid (Uncontrolled) Combustion: Fuel accumulated during delay burns rapidly → sharp pressure rise.
-
Controlled Combustion: Burning at approximately constant pressure as injection continues.
-
Afterburning: Late combustion of fuel droplets; completes by ~40° ATDC.
Pressure-Crank Angle Diagram:
3.2 Ignition Lag/Delay Period
Definition: Time between start of injection and start of combustion (or first detectable pressure rise).
Importance: Longer delay → more fuel accumulates → higher rate of pressure rise → diesel knock.
Factors Affecting Delay Period:
| Factor | Effect on Delay |
|---|---|
| Fuel cetane number (↑) | ↓ Delay (easier ignition) |
| Fuel viscosity/volatility (↓) | ↓ Delay (better atomization) |
| Injection timing (advanced) | ↓ Delay (better conditions) |
| Injection rate (↑) | ↑ Delay? (more fuel, but also turbulence) |
| In-cylinder pressure/temperature (↑) | ↓ Delay |
| Air swirl/turbulence (↑) | ↓ Delay (better mixing) |
| Compression ratio (↑) | ↓ Delay (higher T,P) |
3.3 Diesel Knock
Definition: High rate of pressure rise due to prolonged ignition delay causing violent combustion of accumulated fuel.
Relation to Ignition Delay: Directly proportional. Longer delay → more fuel injected before ignition → larger premixed flame → higher dP/dθ.
Control Methods:
-
Use high cetane fuel/additives.
-
Retard injection timing.
-
Increase turbulence (pintle nozzles, helical ports).
-
Multiple pilot injections (modern common rail).
3.4 Fuel Injection System
Functions:
-
Metering: Correct fuel quantity per cycle.
-
Timing: Start/end of injection at proper crank angle.
-
Atomization: Break fuel into fine droplets.
-
Distribution: Proper spray pattern in chamber.
Types:
-
Air injection: (Historical) Use compressed air to atomize fuel. Pros: Good atomization. Cons: Complex, parasitic power, not used now.
-
Solid injection: Fuel at high pressure injected directly.
-
Pump-line-nozzle: Individual pump per cylinder, high-pressure line, nozzle. Common in older engines.
-
Distributor type: Single pump, distributor rotates to deliver fuel.
-
Common rail: Common high-pressure accumulator, electronically controlled injectors. Modern standard.
-
Fuel Injector (Nozzle) Construction & Working:
-
High-pressure fuel from pump enters pressure chamber.
-
Overcomes needle spring force → needle lifts → fuel sprays through orifices.
-
Spray characteristics depend on nozzle type.
3.5 Nozzles for CI Engines
Types:
| Nozzle Type | Orifices | Spray Pattern | Application |
|---|---|---|---|
| Single hole | 1 | Narrow cone | Direct injection, older engines |
| Multi-hole | 2-8 | Wider cone | Direct injection, better coverage |
| Pintle | 1 (with pin) | Hollow cone | Indirect injection (pre-chamber) |
Spray Characteristics:
-
Cone angle: Determined by orifice design, pressure.
-
Penetration: Distance spray travels; increases with pressure.
-
Atomization: Droplet size; finer with higher pressure, smaller orifice.
Nozzle Flow Equation:
$$ \dot{m}_f = C_d \cdot A_o \cdot \sqrt{2 \rho_f (P_{\text{inj}} - P_{\text{cyl}})} $$
where \( C_d \) = discharge coefficient, \( A_o \) = total orifice area, \( \rho_f \) = fuel density, \( P_{\text{inj}} \) = injection pressure, \( P_{\text{cyl}} \) = cylinder pressure.
4.0 Fuel Systems: Carburetion and Injection
4.1 Carburetion in SI Engines
Definition: Mixing air and fuel in correct proportion (air-fuel ratio) for combustion.
Simple Carburetor Principle:
Components:
-
Float chamber: Maintains constant fuel level; vented to atmosphere.
-
Venturi (choke): Throat where velocity ↑, pressure ↓ (Bernoulli).
-
Fuel orifice: Metering jet; fuel drawn due to pressure difference.
-
Throttle valve: Controls air-fuel mixture flow (engine load).
Why Float Chamber Vented to Atmosphere?
To maintain atmospheric pressure in chamber, so fuel flow depends only on venturi depression.
Air-Fuel Ratio Concepts:
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Rich mixture: λ < 1 (excess fuel). e.g., cold start, full load.
-
Stoichiometric mixture: λ = 1 (theoretical perfect combustion). λ = (A/F)actual / (A/F)stoich.
-
Lean mixture: λ > 1 (excess air). e.g., cruising.
Carburetor Sizing Calculation (High-Frequency):
Given: Air flow \( \dot{m}_a \), velocity at throat \( V_t \), \( C_d \), \( P_1, T_1 \).
Throat area: \( A_t = \frac{\dot{m}_a}{\rho_t V_t} \), where \( \rho_t \) from isentropic flow.
For compressible flow:
$$ \dot{m}_a = C_d A_t P_1 \sqrt{\frac{\gamma}{R T_1} \left( \frac{2}{\gamma+1} \right)^{\frac{\gamma+1}{\gamma-1}} } $$
if \( P_t/P_1 \leq \left( \frac{2}{\gamma+1} \right)^{\gamma/(\gamma-1)} \).
Air-Fuel Ratio from Carburetor:
Without nozzle lip correction:
$$ \frac{\dot{m}_a}{\dot{m}_f} = \frac{C_d A_t \sqrt{2 \rho_a \Delta P}}{C_{df} A_f \sqrt{2 \rho_f \Delta P}} = \frac{C_d A_t}{C_{df} A_f} \sqrt{\frac{\rho_a}{\rho_f}} $$
With nozzle lip correction (fuel head \( h \)):
$$ \Delta P = P_{\text{atm}} - P_t = h \rho_f $$
4.2 Multi-Point Fuel Injection (MPFI)
Definition: Fuel injected into intake port (or directly into cylinder) near each intake valve, controlled by ECU.
Components: Injectors, sensors (MAF, MAP, O₂, TPS), ECU.
Merits over Carburetor:
-
Accurate fuel metering per cylinder.
-
Better fuel economy, lower emissions.
-
No throttle losses (in direct injection).
-
Better cold start, altitude compensation.
Demerits:
-
Higher cost, complexity.
-
Maintenance of sensors/ECU.
4.3 Fuel Injection in CI Engines
Solid Injection Systems Overview:
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In-line pump: Separate pump element per cylinder; mechanical governor.
-
Distributor pump: Single pump element, rotating distributor; compact.
-
Common rail: High-pressure accumulator; electronic control of injection timing/rate; multiple injections possible.
Injection Timing:
Start of injection measured BTDC (usually 15-25° BTDC). Retarding ↓ power, ↑ fuel consumption, ↓ smoke; advancing ↑ NOx, knock risk.
5.0 Fuel Properties, Ratings, and Chemistry
5.1 Fuel Properties for SI and CI Engines
| Property | SI Engine (Gasoline) | CI Engine (Diesel) |
|---|---|---|
| Volatility | High (easy vaporization) | Moderate (avoid vapor lock) |
| Octane Number | High (≥ 91) | Not critical |
| Cetane Number | Not critical | High (≥ 45) |
| Viscosity | Low | Moderate (for lubrication) |
| Flash Point | Low (safety) | Higher |
| Sulfur Content | Low (emissions) | Low (aftertreatment) |
| Calorific Value | ~44 MJ/kg | ~42 MJ/kg |
5.2 Fuel Ratings
Octane Number (ON):
-
Definition: Percentage by volume of iso-octane (2,2,4-trimethylpentane) in reference mixture with n-heptane that matches knocking tendency of test fuel in CFR engine.
-
Higher ON → better knock resistance.
-
Measurement: CFR single-cylinder engine at specified speed/compression ratio.
Cetane Number (CN):
-
Definition: Percentage by volume of cetane (n-hexadecane) in reference mixture with heptamethylnonane that matches ignition delay of test fuel.
-
Higher CN → shorter ignition delay.
-
Measurement: CFR engine, measure ignition delay.
Other Ratings:
-
Diesel Index: Approximate cetane from physical properties.
-
Smoke Point: Max fuel grade without smoke in laminar flame.
5.3 Fuel Chemistry
General Formulas:
| Hydrocarbon Type | General Formula | Saturation | Structure |
|---|---|---|---|
| Paraffins (Alkanes) | CₙH₂ₙ₊₂ | Saturated | Straight/branched chain |
| Olefins (Alkenes) | CₙH₂ₙ | Unsaturated | One double bond |
| Naphthenes (Cycloalkanes) | CₙH₂ₙ | Saturated | Ring structure |
| Aromatics | CₙH₂ₙ₋₆ (benzene ring) | Unsaturated | Benzene ring |
Octane/Cetane Relation:
-
High ON: Aromatics, branched paraffins, olefins.
-
High CN: Straight-chain paraffins, naphthenes.
5.4 Alternative Fuels
Gaseous Fuels:
-
CNG (Compressed Natural Gas): Mainly methane. High ON (120-130), clean, low power density (compression needed). Modifications: Higher CR, hardened valves.
-
LPG (Liquefied Petroleum Gas): Propane/butane. High ON, liquid at moderate pressure. Similar mods to CNG.
-
Hydrogen: Very high ON, wide flammability, low density. Challenges: Knocking (high flame temp → NOx), pre-ignition, storage (cryogenic/compressed), material compatibility (embrittlement). Mods: Lean operation, EGR, direct injection.
Biofuels:
-
Ethanol (E10, E85): High ON, oxygenated, hydrophilic. Corrosive, lower energy content. Flex-fuel vehicles needed for high blends.
-
Biodiesel (B100): From vegetable oils/animal fats. High CN, lubricity, but higher viscosity, NOx increase, cold flow issues.
5.5 Fuel Additives (Dopes)
Why Mixed?
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Improve combustion (octane/cetane improvers).
-
Reduce emissions (detergents, smoke suppressants).
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Prevent deposits, improve stability, anti-corrosion.
Requirements of Good Additive:
-
Effective at low concentration.
-
Compatible with fuel/engine materials.
-
Non-corrosive, stable, economical.
Examples:
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Octane improvers: Aromatic amines (e.g., aniline), organometallics (TEL - banned), MTBE (oxygenate).
-
Cetane improvers: Alkyl nitrates (2-ethylhexyl nitrate).
-
Detergents: Polymeric amines (keep injectors clean).
-
Anti-oxidants: Prevent gum formation.
6.0 Supercharging and Turbocharging
6.1 Introduction
Definitions:
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Supercharging: Forced induction by mechanically driven compressor (from engine crankshaft).
-
Turbocharging: Forced induction by exhaust gas turbine driving compressor.
Purpose:
-
Increase power output (more air → more fuel → more power).
-
Maintain power at altitude (aircraft).
-
Improve fuel economy at high loads (by reducing throttling losses in SI).
Effect on Performance:
-
Power: ↑ up to 50-100% (with proper fueling/ cooling).
-
Fuel Consumption: Brake specific fuel consumption (BSFC) may ↓ at high load due to better volumetric efficiency.
-
Knock tendency (SI): ↑ due to higher T,P.
6.2 Methods of Supercharging
Mechanical Superchargers:
-
Roots type: Positive displacement, meshing lobes. Simple, linear flow with speed. Disadv: Parasitic loss, noise.
-
Vane type: Rotating vanes in offset housing. Disadv: Wear, limited pressure ratio.
-
Centrifugal type: Impeller increases velocity → diffuser converts to pressure. Pressure ratio ↑ with speed. Disadv: Lag at low speed.
Turbochargers:
-
Exhaust gas turbine (radial or axial) drives centrifugal compressor.
-
Constant pressure turbocharging: All cylinders exhaust into common manifold → steady flow.
-
Pulse turbocharging: Individual exhaust pipes → utilize pulse energy; better low-speed response.
Pressure Wave Supercharging: (Brief) Uses exhaust pulse energy to compress intake air via rotating cell; high efficiency but complex.
6.3 Thermodynamic Cycle of Supercharged Engines
-
Increased mass of air per cycle → higher indicated power.
-
Cycle analysis: Compression starts at higher pressure (P₁' > atmospheric).
-
Efficiency may ↓ due to higher compression work and heat transfer, but overall brake thermal efficiency can ↑ due to reduced pumping loss (SI) or better combustion (CI).
6.4 Limitations of Supercharging
| Engine Type | Limitations |
|---|---|
| SI Engines | - Increased knock tendency (↑ T,P).<br>- Higher thermal loading (↑ heat transfer).<br>- Mechanical stress (↑ pressures).<br>- Need intercooling, richer mixture, higher octane fuel. |
| CI Engines | - Smoke limitation (need more air for complete combustion).<br>- ↑ cylinder pressures → mechanical stress.<br>- Turbo lag (turbochargers).<br>- Need higher fuel injection pressure. |
6.5 Need for Turbocharging in Aircraft Engines
-
Altitude → air density ↓ → power loss.
-
Turbocharger maintains sea-level pressure in intake (by compressing thinner air).
-
Allows engine to maintain rated power up to critical altitude.
7.0 Engine Cooling Systems
7.1 Need for Cooling
-
Prevent overheating (material strength ↓, lubrication fails).
-
Control emissions (NOx ↑ with T).
-
Prevent knocking (SI).
-
Maintain clearances.
7.2 Types of Cooling Systems
Air Cooling: Fins on cylinder/head, forced air flow. Used in motorcycles, small engines, aircraft. Adv: Simple, no leakage. Disadv: Uneven cooling, noisy.
Liquid Cooling: Coolant (water+antifreeze) circulates in water jackets. Forced Cooling System (with pump):
Components:
-
Radiator: Heat exchanger to ambient.
-
Water pump: Circulation (usually centrifugal).
-
Thermostat: Regulates flow to maintain operating temperature (~80-90°C).
-
Cooling fan: Draws air through radiator (engine-driven or electric).
-
Water jackets: Surround cylinder/head.
7.3 Cooling Fins
Purpose: Increase surface area for convective heat transfer.
Design Considerations:
-
Fin density: More fins → more area, but ↓ airflow → optimal.
-
Fin thickness: Thicker → better conduction, but heavier.
-
Material: Aluminum (good conductivity) common.
-
Attachment: Integrated casting or bonded.
7.4 Anti-freeze Solutions
Types:
-
Ethylene glycol: Common, toxic.
-
Propylene glycol: Less toxic, used in food/ RV applications.
Properties:
-
Lower freezing point (colligative property).
-
Raise boiling point (with pressurization).
-
Corrosion inhibitors (phosphates, silicates).
-
Anti-foaming.
Necessity: Prevent freeze-up in cold climates, avoid corrosion, maintain boiling point above operating.
8.0 Engine Lubrication Systems
8.1 Functions of Lubrication
-
Reduce friction & wear.
-
Cool (carry heat away).
-
Seal (piston rings).
-
Clean (carry contaminants to filter).
-
Prevent corrosion.
-
Cushion (bearings).
8.2 Properties of Lubricating Oil
-
Viscosity: SAE grades (e.g., 10W-30). Must be correct at operating T.
-
Flash point: >200°C (safety).
-
Pour point: Lowest T at which oil flows.
-
Carbon residue: Indicates tendency to form deposits.
-
Neutralization number: Acidity (from oxidation).
8.3 Types of Lubrication Systems
Mist lubrication: (2-stroke) Oil mixed with fuel; simple but high oil consumption.
Wet Sump Systems:
-
Splash lubrication: Crankshaft dips in oil → splashes. Simple, low speed.
-
Pressurized lubrication: Oil pump draws from sump → filter → galleries to bearings, cam, etc. Returns to sump.
Dry Sump System: Separate oil tank; scavenge pumps remove oil from sump; pressure pump supplies. Used in racing, aircraft. Adv: No oil surge, lower CG. Disadv: Complex, expensive.
8.4 Lubrication Points
Main bearings, connecting rod bearings, piston pins, cylinder walls (oil squirters), valve train (pushrods, rockers), timing gears/belt.
9.0 Engine Performance and Testing
9.1 Key Definitions and Parameters
| Term | Definition | Formula |
|---|---|---|
| Indicated Power (IP) | Power developed in cylinder (from pressure diagram) | \( IP = \frac{P_m i L A N}{60} \) (for 4-stroke) |
| Brake Power (BP) | Power at output shaft (dynamometer) | \( BP = \frac{2\pi NT}{60} \) |
| Mechanical Efficiency | \( \eta_m = BP / IP \) | |
| Volumetric Efficiency | \( \eta_v = \frac{\text{Actual air intake}}{\text{Theoretical (swept volume at intake conditions)}} \) | |
| Thermal Efficiency | Indicated: \( \eta_{ith} = IP / (\dot{m}_f CV) \); Brake: \( \eta_{bth} = BP / (\dot{m}_f CV) \) | |
| Specific Fuel Consumption (SFC) | Fuel per unit power: SFC = \( \dot{m}_f / BP \) (brake) or /IP (indicated) | |
| Mean Effective Pressure (MEP) | Hypothetical constant pressure that yields same work | \( MEP = \frac{W_{\text{net}}}{V_s} \) for 4-stroke; \( \text{IMEP} = \frac{IP \cdot 60}{V_s N} \) |
9.2 Engine Testing Methods
Morse Test (for multi-cylinder engines):
-
Method: Run engine at constant speed, cut out cylinders one by one (by stopping fuel/ignition), measure BP each time.
-
Assumptions:
-
Frictional power (F.P.) same for all cylinders.
-
No inter-cylinder interference (exhaust/induction).
-
-
Calculations:
Let \( BP_0 \) = BP with all cylinders, \( BP_i \) = BP with cylinder i cut out.
Then \( IP_i = BP_i + F.P. \), and total \( IP = \sum IP_i \).
Since F.P. constant: \( IP = \sum (BP_i + F.P.) = \sum BP_i + n \cdot F.P. \)
But \( IP = BP_0 + F.P. \) (since all cylinders working).
Equate: \( BP_0 + F.P. = \sum BP_i + n F.P. \)
→ \( F.P. = \frac{\sum BP_i - BP_0}{n-1} \)
→ \( IP = BP_0 + F.P. \)
→ \( \eta_m = BP_0 / IP \)
[!TIP] Morse test assumes constant friction; not valid if cutting a cylinder changes cooling or pumping significantly.
9.3 Heat Balance Sheet
Purpose: Account for input fuel energy (CV) into useful work and losses.
Preparation:
-
Input: \( \dot{E}_{\text{in}} = \dot{m}_f \cdot CV \) (kJ/min or kW).
-
Outputs:
-
Brake Power (BP): Measured.
-
Coolant loss: \( \dot{m}_w C_{pw} (T_{w,\text{out}} - T_{w,\text{in}}) \)
-
Exhaust loss: \( \dot{m}_e C_{pe} (T_e - T_{\text{amb}}) \) (often approximate \( \dot{m}_e \approx \dot{m}_a + \dot{m}_f \))
-
Unaccounted: Radiation, convection, etc. = Input - (BP + coolant + exhaust).
-
-
Percentage: Each output / Input × 100%.
High-Frequency Problem: Given trial data (fuel cons., air cons., torque, temps, flow rates), compute BP, SFC, heat balance.
Sample Calculation Structure:
-
BP = \( \frac{2\pi N T}{60} \)
-
Fuel energy = \( \dot{m}_f \times CV \)
-
Coolant heat = \( \dot{m}_w C_w \Delta T_w \)
-
Exhaust heat = \( \dot{m}_e C_e \Delta T_e \)
-
Unaccounted = Fuel energy - (BP + coolant + exhaust)
-
All in consistent units (e.g., kJ/min).
9.4 Factors Affecting Volumetric Efficiency
-
Valve timing: Overlap, inlet valve closing (IVC) after BDC helps at high speed.
-
Intake/exhaust system design: Runner length/diameter, manifold tuning.
-
Scavenging effectiveness (2-stroke): Good scavenging → higher η_v.
-
Air temperature/pressure: Cooler, denser air → ↑ η_v.
-
Throttling (SI): Part load → ↓ η_v due to throttle loss.
10.0 Engine Design, Components, and Scavenging
10.1 Valve Timing
Theoretical vs Actual:
-
Theoretical: Inlet open at BDC, close at TDC; exhaust open at TDC, close at BDC.
-
Actual: Dynamic effects require:
-
Inlet valve opens (IVO) before TDC (intake stroke start).
-
Inlet valve closes (IVC) after BDC (use momentum of incoming air).
-
Exhaust valve opens (EVO) before BDC (early release).
-
Exhaust valve closes (EVC) after TDC (use exhaust momentum to help scavenging).
-
Overlap period: Both valves open (between EVO and IVO).
-
Actual Valve Timing Diagram for 4-stroke SI:
Reasons for Differences:
Gas dynamics: Inertia of air/fuel mixture (inlet) and exhaust gases; need to maximize cylinder filling and scavenging.
10.2 Scavenging in Two-Stroke Engines
Definition: Process of clearing exhaust gases and filling cylinder with fresh charge.
Types:
| Type | Principle | Effectiveness | Sketch |
|---|---|---|---|
| Cross-flow | Inlet and exhaust on opposite sides; piston uncovers exhaust port first, then transfer port. | Poor (short-circuiting possible) | DiagramSEARCH: cross flow scavenging |
| Loop scavenging (Schnürle) | Transfer ports angled to create loop; exhaust port uncovered later. | Good (reduces short-circuiting) | DiagramSEARCH: loop scavenging Schnürle |
| Uniflow scavenging | Exhaust valve at top, transfer ports at bottom; unidirectional flow. | Best (high efficiency) | DiagramSEARCH: uniflow scavenging |
10.3 Wankel Engine
Construction:
-
Rotor: Equilateral triangle shape.
-
Housing: Epitrochoid curve.
-
Eccentric shaft: Rotor rotates around fixed center, orbiting.
Working Principle:
-
Three chambers formed between rotor and housing.
-
Each chamber undergoes: intake (expansion), compression, ignition, exhaust in one shaft revolution (vs two revolutions for 4-stroke).
-
Four phases per chamber per revolution.
Advantages:
-
Compact, smooth (no reciprocating parts), high power/weight.
-
Fewer parts.
Disadvantages:
-
Apex seal wear, leakage.
-
Poor fuel economy, high emissions.
-
Low thermal efficiency (large surface/volume ratio).
-
Limited to small displacement.
10.4 Cylinder Arrangement
| Type | Description | Pros | Cons |
|---|---|---|---|
| Inline | All cylinders in one row | Simple, cheap | Long, poor balance (>4 cyl) |
| V-type | Two banks at angle (60-90°) | Short, rigid, good balance | Complex head, wider |
| Opposed (Boxer) | Horizontally opposed | Low C.G., smooth | Wide, complex exhaust |
| Radial | Cylinders radially around crankcase | Good cooling, smooth (aircraft) | Large frontal area, complex |
10.5 Spark Plug Requirements
-
Correct heat range: Cold plug (fast heat transfer) for high-speed; hot plug for slow speed/rich mixture. Must self-clean at ~450-500°C tip.
-
Proper gap: Typically 0.6-1.0 mm; affects spark energy.
-
Insulator material: Alumina (high T strength, dielectric).
-
Electrode design: Copper/nickel core for heat dissipation; precious metals (platinum, iridium) for longevity.
-
Resistance: 5-15 kΩ to prevent RF interference.
-
Resistance to fouling/erosion.
11.0 Emissions and Control Systems
11.1 Exhaust Gas Recirculation (EGR)
Principle: Recirculate part of exhaust gas (5-15%) to intake, diluting charge.
Advantages:
- Reduces NOx significantly (lowers peak combustion temperature by absorbing heat and reducing oxygen concentration).
Limitations:
-
Increases soot/particulates (especially in diesel).
-
Reduces efficiency (less air, lower T).
-
Need control (valve, cooler) to optimize.
-
Can cause intake deposit formation.
EGR System Sketch:
11.2 Knock Inhibitors
Definition: Chemicals added to fuel to increase octane number.
Mechanism: Interfere with chain reactions in abnormal combustion (scavenge free radicals like OH·, H·).
Examples:
-
Aromatic amines: Aniline, toludine.
-
Alcohols: Ethanol (oxygenate, high ON).
-
Organometallics: Tetraethyl lead (TEL - banned), MMT (methylcyclopentadienyl manganese tricarbonyl).
-
Oxygenates: MTBE, ETBE, TAME.
12.0 Ignition Systems
12.1 Battery Ignition System
Components & Working:
-
Battery (6V/12V): Low voltage source.
-
Ignition coil: Step-up transformer (primary: 200-300 turns; secondary: 15,000-20,000 turns).
-
Contact breaker (points): Opens/closes primary circuit; determines timing.
-
Capacitor (condenser): Prevents arcing, boosts secondary voltage.
-
Distributor: Rotating cam opens points; rotor directs high voltage to correct spark plug.
-
Spark plugs: Generate spark in cylinder.
Operation:
-
Points closed → current in primary → magnetic field builds.
-
Points open → field collapses → high voltage in secondary.
-
Voltage jumps spark plug gap.
Advantages: Simple, reliable, cheap. Disadvantages: Points wear, condenser failure, voltage drops at high speed, maintenance.
12.2 Electronic/Transistorized Ignition
Advantages over contact breaker:
-
No mechanical points → no wear, no adjustment.
-
Higher/consistent spark energy at high speed.
-
Precise timing (no bounce).
-
Longer spark duration.
Microprocessor-Based Control (ECU):
-
Sensors: CKP, CMP, MAP, MAF, TPS, O₂, knock.
-
ECU: Calculates optimal spark advance based on load, speed, temperature, knock.
-
Ignition module/coil-on-plug: Drives ignition coil(s).
Advantages:
-
Optimized performance, fuel economy, emissions.
-
Diagnostics, adaptive control.
-
Coil-on-plug → no distributor losses.
Disadvantages:
-
Complexity, cost.
-
EMI/RFI issues.
-
Requires trained technicians.
13.0 Two-Stroke vs. Four-Stroke Engines
| Feature | Two-Stroke | Four-Stroke |
|---|---|---|
| Strokes per cycle | 2 | 4 |
| Power strokes per rev | 1 (every rev) | 1 (every 2 revs) |
| Valves | Ports (in crankcase or cylinder) | Poppet valves |
| Scavenging required | Yes (critical) | No (natural exchange) |
| Volumetric efficiency | Lower (scavenging losses) | Higher |
| Thermal efficiency | Lower (more losses) | Higher |
| Power-to-weight | Higher (more power per cc) | Lower |
| Emissions | Higher (oil in fuel, incomplete scavenging) | Lower |
| Applications | Motorcycles, outboards, small tools | Cars, trucks, generators |
Trade-offs: Two-stroke: simpler, more power dense, but higher emissions/oil consumption. Four-stroke: more efficient, cleaner, but heavier, more complex.
END OF UNIT 4 NOTES
Focus on understanding derivations (Otto, Diesel efficiency, MEP), combustion stages, factors affecting ignition delay/knock, carburetor calculations, heat balance, Morse test, and diagram-based questions (combustion chambers, valve timing, scavenging types, EGR, ignition systems).