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ME-501 · Internal Combustion Engines/Quick Revision Short Notes

Internal Combustion Engines (ME-501) - Unit 4 Short Notes

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. 1-2: Isentropic compression (V₁ → V₂, r = V₁/V₂)

  2. 2-3: Constant volume heat addition (Q_in)

  3. 3-4: Isentropic expansion (power stroke)

  4. 4-1: Constant volume heat rejection (Q_out)

P-V & T-S Diagrams:

DiagramSEARCH: Otto cycle P-V T-S diagram

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:

  1. \( T_2 = T_1 \cdot r^{\gamma-1} \)

  2. \( T_3 = T_2 + Q_{\text{in}}/C_v \)

  3. \( T_4 = T_3 / r^{\gamma-1} \)

  4. \( \eta = 1 - T_1/T_2 \) (or formula)

  5. \( W = Q_{\text{in}} - C_v(T_4 - T_1) \)

[!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. 1-2: Isentropic compression

  2. 2-3: Constant pressure heat addition (Q_in)

  3. 3-4: Isentropic expansion

  4. 4-1: Constant volume heat rejection

P-V & T-S Diagrams:

DiagramSEARCH: Diesel cycle P-V T-S diagram

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: \( P_2/P_1 = (V_1/V_2)^\gamma = r^\gamma \), \( T_2/T_1 = r^{\gamma-1} \)

  • Constant volume: \( P_3/T_3 = P_2/T_2 \)

  • 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

  1. Ignition Lag (Pre-flame phase): Spark initiates chemical reactions; no visible flame.

  2. Flame Propagation: Flame front moves from spark plug across chamber.

  3. Afterburning: Combustion of remaining gases behind flame front; completes by ~20° ATDC.

Pressure-Crank Angle Diagram:

DiagramSEARCH: SI engine pressure crank angle diagram combustion stages

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

  • 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:

  • Compression ratio (↑ CR → ↑ knock tendency)

  • 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.

  • 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.

  • Avoid crevices → reduce unburned HC emissions.

  • Proper spark plug location → central or near intake valve.

Types with Sketches:

DiagramCANVAS: Sketch and label: Wedge, Hemispherical, Pent-roof, Bathtub/Heron, Swirl chamber
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

  1. Ignition Delay Period: Fuel injected but not yet burning.

    • Physical delay: Atomization, vaporization, mixing.

    • Chemical delay: Pre-flame reactions.

  2. Rapid (Uncontrolled) Combustion: Fuel accumulated during delay burns rapidly → sharp pressure rise.

  3. Controlled Combustion: Burning at approximately constant pressure as injection continues.

  4. Afterburning: Late combustion of fuel droplets; completes by ~40° ATDC.

Pressure-Crank Angle Diagram:

DiagramSEARCH: CI engine pressure crank angle diagram combustion stages

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:

  1. Metering: Correct fuel quantity per cycle.

  2. Timing: Start/end of injection at proper crank angle.

  3. Atomization: Break fuel into fine droplets.

  4. 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:

DiagramCANVAS: Sketch of injector showing body, needle, spring, orifice, pressure chamber
  • 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:

DiagramSEVACH: Simple carburetor diagram labeled

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:

  • 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:

  • 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?

  • Improve combustion (octane/cetane improvers).

  • Reduce emissions (detergents, smoke suppressants).

  • Prevent deposits, improve stability, anti-corrosion.

Requirements of Good Additive:

  • Effective at low concentration.

  • Compatible with fuel/engine materials.

  • Non-corrosive, stable, economical.

Examples:

  • 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:

  • 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.

DiagramSEARCH: Turbocharger schematic labeled

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):

DiagramCANVAS: Sketch of liquid cooling system: radiator, water pump, thermostat, cooling fan, water jackets, hoses

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.

DiagramCANVAS: Sketch of pressurized wet sump system

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:

    1. Frictional power (F.P.) same for all cylinders.

    2. 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:

  1. Input: \( \dot{E}_{\text{in}} = \dot{m}_f \cdot CV \) (kJ/min or kW).

  2. 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).

  3. 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:

DiagramSEARCH: Actual valve timing diagram 4-stroke engine

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.

DiagramSEARCH: Wankel engine diagram labeled

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:

DiagramSEARCH: EGR system diagram with valve, cooler, piping

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:

DiagramSEARCH: Battery ignition system diagram labeled
  • 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:

  1. Points closed → current in primary → magnetic field builds.

  2. Points open → field collapses → high voltage in secondary.

  3. 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).

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