1.0 FUNDAMENTAL THERMODYNAMIC CYCLES & ANALYSIS
1.1 Air-Standard Analysis Assumptions & Limitations
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Assumptions:
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Working fluid is ideal gas (obeys $$\displaystyle PV = mRT $$).
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Specific heats ($$\displaystyle C_v, C_p $$) are constant.
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All processes are internally reversible.
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Compression and expansion are isentropic.
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Heat addition and rejection are at constant volume (Otto) or constant pressure (Diesel).
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No heat loss to surroundings, no friction.
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Limitations: Ignores actual gas behavior, variable specific heats, heat transfer, friction, pumping work, and exhaust blowdown. Results are ideal upper limits.
[!TIP] Exam Focus: Air-standard analysis is the foundation for all cycle efficiency derivations. Always state the assumptions before solving numericals.
1.2 Otto Cycle (Spark Ignition / Constant Volume Heat Addition)
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Processes (1-2-3-4-1):
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1-2: Isentropic compression ($$\displaystyle V_1/V_2 = r $$, compression ratio).
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2-3: Constant volume heat addition ($$\displaystyle Q_{in} $$).
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3-4: Isentropic expansion (power stroke).
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4-1: Constant volume heat rejection ($$\displaystyle Q_{out} $$).
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Diagrams:
DiagramSEARCH: "Otto cycle PV TS diagram" -
Thermal Efficiency Derivation:
$$Q_{in} = C_v(T_3 - T_2), \quad Q_{out} = C_v(T_4 - T_1)$$
Using isentropic relations: $$\displaystyle T_2/T_1 = (V_1/V_2)^{\gamma-1} = r^{\gamma-1} $$ and $$\displaystyle T_3/T_4 = r^{\gamma-1} $$.
$$\eta_{th} = 1 - \frac{Q_{out}}{Q_{in}} = 1 - \frac{T_4 - T_1}{T_3 - T_2}$$
Substituting and simplifying:
$$\boxed{\eta_{otto} = 1 - \frac{1}{r^{\gamma-1}}}$$
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Numerical Analysis Steps:
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Find $$\displaystyle T_2 $$ from isentropic compression: $$\displaystyle T_2 = T_1 \cdot r^{\gamma-1} $$.
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Given $$\displaystyle Q_{in} $$ or $$\displaystyle P_3/T_3 $$, find $$\displaystyle T_3 $$: $$\displaystyle T_3 = T_2 + Q_{in}/C_v $$.
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Find $$\displaystyle T_4 $$ from isentropic expansion: $$\displaystyle T_4 = T_3 / r^{\gamma-1} $$.
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Net work: $$\displaystyle W_{net} = Q_{in} - Q_{out} $$.
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Mean Effective Pressure (MEP): $$\displaystyle MEP = \frac{W_{net}}{V_1 - V_2} = \frac{W_{net}}{V_s} $$ (per kg, $$\displaystyle V_s $$ = swept volume).
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Effect of Compression Ratio: Efficiency increases with $r$. Higher $r$ → higher $$\displaystyle T_2 $$ → risk of detonation in SI engines.
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Loss due to Variable Specific Heats: At high $$\displaystyle T_3 $$, $$\displaystyle C_v $$ increases. This reduces the effective temperature rise for same $$\displaystyle Q_{in} $$, lowering $$\displaystyle T_3 $$ and $$\displaystyle T_4 $$ compared to constant $$\displaystyle C_v $$ case. Efficiency drops slightly.
DiagramCANVAS: "PV diagram showing two Otto cycles: one with constant gamma (higher area), one with variable gamma (lower area)".
1.3 Diesel Cycle (Compression Ignition / Constant Pressure Heat Addition)
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Processes (1-2-3-4-1):
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1-2: Isentropic compression.
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2-3: Constant pressure heat addition ($$\displaystyle Q_{in} $$).
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3-4: Isentropic expansion.
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4-1: Constant volume heat rejection.
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Diagrams:
DiagramSEARCH: "Diesel cycle PV TS diagram" -
Thermal Efficiency Derivation:
$$Q_{in} = C_p(T_3 - T_2), \quad Q_{out} = C_v(T_4 - T_1)$$
Isentropic relations: $$\displaystyle T_2 = T_1 r^{\gamma-1} $$, $$\displaystyle T_4 = T_3 / r^{\gamma-1} $$.
Define **cut-off ratio** $$\displaystyle \rho = V_3/V_2 $$.
From constant pressure process: $$\displaystyle T_3/T_2 = V_3/V_2 = \rho $$.
$$\eta_{diesel} = 1 - \frac{1}{r^{\gamma-1}} \cdot \frac{\rho^{\gamma} - 1}{\gamma(\rho - 1)}$$
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Numerical Analysis: Given $r$, $\rho$, $$\displaystyle T_1 $$, find $$\displaystyle T_2 $$, $$\displaystyle T_3 = \rho T_2 $$, $$\displaystyle T_4 = T_3 / r^{\gamma-1} $$, then $\eta$, $$\displaystyle W_{net} $$.
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Comparison with Otto (same $r$, same $$\displaystyle Q_{in} $$):
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Diesel cycle has lower efficiency because heat addition at constant pressure starts earlier (at higher $$\displaystyle T_2 $$) and ends later.
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Diesel cycle has higher work output per cycle due to larger area in PV diagram.
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Cut-off ratio $\rho$ critically affects efficiency: $\eta \downarrow$ as $\rho \uparrow$.
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1.4 Dual Cycle (Limited Cycle)
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Processes: Combustion occurs partly at constant volume (2-2') and partly at constant pressure (2'-3). More realistic for modern CI engines.
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Efficiency Expression: Between Otto and Diesel. Qualitative: For same $r$ and $$\displaystyle Q_{in} $$, $$\displaystyle \eta_{Otto} > \eta_{Dual} > \eta_{Diesel} $$.
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Relevance: Models combustion in engines with finite combustion duration.
1.5 Brayton Cycle (Gas Turbine - Brief Reference)
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Processes: Isentropic compression, constant pressure heat addition, isentropic expansion.
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Efficiency: $$\displaystyle \eta = 1 - 1/(r_p)^{(\gamma-1)/\gamma} $$, where $$\displaystyle r_p $$ = pressure ratio.
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Used in gas turbines, not in automotive reciprocating engines.
1.6 Comparison of Otto, Diesel, and Dual Cycles
| Feature | Otto (SI) | Diesel (CI) | Dual (Limited) |
|---|---|---|---|
| Heat Addition | Constant Volume | Constant Pressure | Constant Volume + Pressure |
| Efficiency vs $r$ | Highest for same $r$ | Lower than Otto | Between Otto & Diesel |
| Efficiency vs $\rho$ | N/A | $\eta \downarrow$ as $\rho \uparrow$ | $\eta \downarrow$ as cut-off $\uparrow$ |
| Work Output | Lower | Higher | Higher than Otto |
| Compression Ratio | Moderate (8-12) | High (14-22) | High |
| Fuel | Petrol (high volatility) | Diesel (high cetane) | Diesel |
| Typical Application | Cars, motorcycles | Trucks, buses, generators | Modern CI engines |
2.0 ENGINE TYPES, CONSTRUCTION & BASIC PERFORMANCE PARAMETERS
2.1 Classification of I.C. Engines
| Basis | Types | Key Differences |
|---|---|---|
| Working Cycle | 4-Stroke (Intake, Compression, Power, Exhaust) | Power stroke every 2 revs. More efficient, heavier. |
| 2-Stroke (Intake/Exhaust, Compression/Power) | Power stroke every rev. Simpler, more power/weight, poor scavenging, higher pollution. | |
| Fuel | SI (Petrol) | Spark plug, carburetor/fuel injection, lower compression. |
| CI (Diesel) | Fuel injection, self-ignition, higher compression. | |
| Ignition | Spark Ignition | Compression Ignition |
| Cylinder Arrangement | Inline, V-type, Opposed, Radial, Wankel | V-type: compact, good balance. Inline: simple. |
| Valve Location | OHV (Pushrod), OHC (Single/Double), Overhead valve | OHC: higher RPM potential, quieter. |
2.2 Key Performance Parameters & Definitions
| Parameter | Symbol | Formula | Unit |
|---|---|---|---|
| Brake Power (B.P.) | $BP$ | $$\displaystyle BP = \frac{2\pi N T}{60} $$ (N= rpm, T= torque Nm) | kW |
| Indicated Power (I.P.) | $IP$ | $$\displaystyle IP = \frac{p_m L A N}{60} $$ (for single cylinder) | kW |
| Mechanical Efficiency | $$\displaystyle \eta_{mech} $$ | $$\displaystyle \eta_{mech} = \frac{BP}{IP} $$ | - |
| Indicated Thermal Eff. | $$\displaystyle \eta_i $$ | $$\displaystyle \eta_i = \frac{IP}{\dot{m}_f \cdot CV} $$ | - |
| Brake Thermal Eff. | $$\displaystyle \eta_b $$ | $$\displaystyle \eta_b = \frac{BP}{\dot{m}_f \cdot CV} $$ | - |
| BSFC | $bsfc$ | $$\displaystyle bsfc = \frac{\dot{m}_f}{BP} $$ | kg/kW-hr |
| ISFC | $isfc$ | $$\displaystyle isfc = \frac{\dot{m}_f}{IP} $$ | kg/kW-hr |
| Volumetric Eff. | $$\displaystyle \eta_v $$ | $$\displaystyle \eta_v = \frac{\text{Actual air intake}}{\text{Swept vol. at ambient}} $$ | - |
| Mean Effective Press. | $MEP$ | $$\displaystyle MEP = \frac{W_{net}}{V_s} $$ (per cycle) | bar |
| $$\displaystyle IMEP = \frac{IP \cdot 60}{L A N} $$ | |||
| $$\displaystyle BMEP = \frac{BP \cdot 60}{L A N} $$ | |||
| Compression Ratio | $r$ | $$\displaystyle r = \frac{V_1}{V_2} = \frac{Swept\ Vol + Clearance\ Vol}{Clearance\ Vol} $$ | - |
| Fuel-Air Ratio | $f$ | $$\displaystyle f = \frac{\dot{m}_f}{\dot{m}_a} $$ | - |
| Air-Fuel Ratio | $AFR$ | $$\displaystyle AFR = \frac{\dot{m}_a}{\dot{m}_f} $$ | - |
[!TIP] Common Pitfall: MEP is not an actual pressure in the cylinder; it's an average pressure that would produce the net work if constant throughout the stroke.
2.3 Engine Testing & Performance Evaluation
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Engine Trial: Measures $BP$ (dynamometer), fuel consumption, air/fuel flow, temperatures (exhaust, cooling water, lub oil), pressures.
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Heat Balance Sheet (on minute/hour basis):
| Heat Input | Heat Output | | :--- | :--- | | 1. Heat in fuel = $$\displaystyle \dot{m}_f \cdot CV $$ | 1. Heat equivalent of $BP$ | | | 2. Heat to cooling water = $$\displaystyle \dot{m}_w C_w \Delta T_w $$ | | | 3. Heat to exhaust gases = $$\displaystyle \dot{m}_{ex} C_{ex} \Delta T_{ex} $$ | | | 4. Heat to radiation & unaccounted (by difference) |
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Morse Test (Multi-cylinder I.P. determination):
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Method: Run engine at constant speed & throttle. Measure $BP$ with all cylinders working. Then cut out one cylinder at a time (by stopping its fuel supply/ignition) and measure $BP$.
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Assumptions:
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Frictional losses of the cut-out cylinder remain same when it is working.
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Friction of other cylinders & external friction (water pump, lub oil pump) constant.
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Calculation:
$$\displaystyle IP_{total} = BP_{all} + \sum (BP_{all} - BP_{cut\ i}) $$
$$\displaystyle \eta_{mech} = \frac{BP_{all}}{IP_{total}} $$
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Example (Nov 2022): $$\displaystyle BP_{all}=32 $$ kW, $$\displaystyle BP_1=21.6 $$, $$\displaystyle BP_2=22.3 $$, $$\displaystyle BP_3=22.5 $$, $$\displaystyle BP_4=23 $$ kW.
$$\displaystyle \sum (BP_{all}-BP_i) = (10.4 + 9.7 + 9.5 + 9) = 38.6 $$ kW.
$$\displaystyle IP = 32 + 38.6 = 70.6 $$ kW.
$$\displaystyle \eta_{mech} = 32 / 70.6 = 0.453 $$ or 45.3%.
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3.0 FUEL SYSTEMS (SI & CI)
3.1 Fuel Requirements
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SI (Petrol): High volatility, high octane number (anti-knock), good vaporization, clean burning.
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CI (Diesel): Good ignition quality (high cetane number), proper viscosity for injection, low sulfur.
3.2 Carburetion (SI Engines)
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Function: To prepare homogeneous air-fuel mixture of correct strength for varying engine speeds/loads.
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Theory: Based on Bernoulli's principle. Velocity increase in venturi → pressure drop → fuel drawn from jet.
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Simple Carburetor:
DiagramSEARCH: "simple carburetor diagram"-
Construction: Float chamber, venturi, fuel jet, throttle valve.
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Working: Air flows through venturi, pressure at fuel jet tip drops below atmospheric, fuel lifted into air stream.
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Limitations: Provides correct mixture only at one speed (full throttle). Fails at part-load (lean) and high speed (rich) due to lag.
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Types: Solex, Zenith (multiple venturis), SU (constant depression/variable choke).
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Multi-Point Fuel Injection (MPFI): Injector near each intake valve. Advantages: Better fuel metering, reduced emissions, higher power, no throttle losses. Disadvantages: Cost, complexity.
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Numerical (Carburetor):
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Air flow rate: $$\displaystyle \dot{m}_a = C_d A_t \rho_a V_t $$ (with $$\displaystyle V_t $$ from energy eqn: $$\displaystyle \frac{V_t^2}{2} = \frac{\gamma}{\gamma-1} R T_1 \left[1 - \left(\frac{P_2}{P_1}\right)^{(\gamma-1)/\gamma}\right] $$).
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Fuel flow rate: $$\displaystyle \dot{m}_f = C_f A_f \sqrt{2 \rho_f (P_{atm} - P_{fuel} - \frac{\rho_f V_f^2}{2})} $$ (with/without nozzle lip correction).
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$$\displaystyle AFR = \dot{m}_a / \dot{m}_f $$.
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3.3 Fuel Injection System (CI Engines)
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Function: Atomize fuel, control timing & rate, distribute fuel in combustion chamber.
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Types of Injection Systems:
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Air Injection: Fuel atomized by high-pressure air. Obsolete.
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Solid (Mechanical) Injection: Fuel injected directly by high-pressure pump. Types: Common Rail, Unit Injector, Distributor Pump, In-line Pump.
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Fuel Injector (Nozzle):
DiagramSEARCH: "diesel fuel injector nozzle types"-
Construction: Nozzle body, needle valve, spring, pressure chamber.
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Working: Pump pressure lifts needle, fuel sprays through holes. Spring closes needle when pressure drops.
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Types of Nozzles:
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Single-hole: Low pressure, large engines.
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Multi-hole: 4-8 holes, common in automotive.
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Pintle type: Good atomization at low pressure, used in pre-combustion chambers.
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Throttle type: For air-blast injection (obsolete).
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Injection Timing & Rate: Advanced timing → higher efficiency but more noise. Rate should be high initially for good mixing, then reduce to limit pressure rise.
3.4 Fuel Injection in CI Engines (General)
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Stages:
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Injection Delay (Ignition Delay): Fuel atomizes, vaporizes, mixes with air, reaches auto-ignition temperature.
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Uncontrolled Combustion (Rapid): Fuel accumulated during delay burns rapidly → sharp pressure rise.
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Controlled Combustion (Afterburning): Remaining fuel burns as it mixes.
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Factors: Fuel properties (cetane, viscosity), injection pressure, nozzle design, chamber design, engine speed/load.
4.0 IGNITION SYSTEMS (SI ENGINES)
4.1 Battery (Coil) Ignition System
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Components: Battery, ignition coil (step-up transformer), contact breaker (points), capacitor, distributor, spark plug.
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Working Principle:
DiagramSEARCH: "battery ignition system diagram"-
Current flows in primary circuit (battery → switch → points → coil primary → ground).
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Points open → primary current collapses → high voltage induced in secondary.
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Distributor routes high voltage to correct spark plug.
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Capacitor suppresses arcing at points, speeds collapse.
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Advantages: Simple, inexpensive.
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Disadvantages: Contact wear, maintenance, limited spark energy at high speed, timing drift.
4.2 Electronic Ignition & Microprocessor-Based Systems
- Advantages: No contact wear, precise timing control, higher spark energy, better performance/emissions, adaptive to engine conditions (knock control, idle stabilization).
4.3 Spark Plug
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Construction: Insulator (ceramic), central electrode, ground electrode, shell, gasket.
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Requirements:
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Insulation: Withstand high voltage.
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Heat Range: Hot plug (longer insulator nose, slower heat transfer) for low-speed engines. Cold plug (shorter nose, faster transfer) for high-speed/high-compression engines. Must keep tip hot enough to burn off deposits but not cause pre-ignition.
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Gap: Typically 0.6-1.2 mm. Too large → weak spark. Too small → poor ignition.
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Location: Central in combustion chamber for shortest flame travel.
4.4 Ignition Lag (Ignition Delay) in SI Engines
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Definition: Time interval between spark discharge and start of pressure rise due to combustion.
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Stages:
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Physical Delay: Atomization, vaporization, mixing of fuel-air (0.1-0.5 ms).
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Chemical Delay: Chemical reactions forming radicals, chain initiation (0.2-1.0 ms).
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Effect of Engine Variables:
| Variable | Effect on Ignition Lag | Reason | | :--- | :--- | :--- | | ↑ Compression Ratio | ↓ | Higher $$\displaystyle T_2 $$, better vaporization | | ↑ Engine Speed | ↓ (in °CA) | More turbulence, better mixing | | Rich Mixture | ↓ | More fuel vapor, easier ignition | | ↑ Turbulence | ↓ | Faster mixing | | ↑ Electrode Gap | ↓ | Larger kernel, faster growth | | Advanced Spark Timing | ↓ (in °CA) | Higher $$\displaystyle T_2 $$ at spark | | ↑ Inlet Temp/Pressure | ↓ | Higher $$\displaystyle T_2 $$ |
5.0 COMBUSTION IN SPARK IGNITION (SI) ENGINES
5.1 Stages of Combustion (P-θ Diagram)
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Ignition Delay (Preparation Phase): Spark → flame kernel formation. Pressure rise slow.
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Flame Propagation: Flame front moves across chamber. Pressure rises rapidly but smoothly.
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Afterburning (Tail Flame): Burn-out of near-wall gases. Pressure rise slows.
5.2 Flame Propagation
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Normal Flame Speed: 20-50 m/s (at 1 atm). Not same as burning velocity (laminar, ~0.5 m/s).
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Factors Affecting Flame Speed:
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Turbulence: ↑ turbulence → ↑ flame speed (most significant).
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Mixture Strength: Slightly rich (φ≈1.1) gives max speed.
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Compression Ratio: ↑ $r$ → ↑ $$\displaystyle T_2 $$, ↑ pressure → ↑ speed.
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Spark Location: Central → shortest travel distance.
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Inlet Temp/Pressure: ↑ → ↑ density → ↑ speed.
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Engine Speed: ↑ speed → ↑ turbulence → ↑ speed.
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5.3 Abnormal Combustion: Detonation (Knock)
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Phenomenon: Uncontrolled, explosive combustion of end-gas. High-frequency pressure waves → "pinging" sound, piston/head damage.
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Theories:
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Auto-ignition Theory: End-gas (unburned mixture) compressed & heated by flame front → auto-ignites → pressure spike.
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Detonation Wave Theory: Supersonic shock wave initiates reactions.
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Factors Affecting Detonation:
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↑ Compression Ratio (most critical)
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↑ Engine Load
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Retarded Ignition Timing (increases pressure at end of combustion)
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Lean Mixture (higher $$\displaystyle T_{max} $$)
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↑ Inlet Temperature
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Poor Combustion Chamber Design (large surface/volume ratio, hot spots)
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Low Octane Number Fuel
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Control & Prevention:
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Retard ignition timing.
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Enrich mixture (slightly).
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Reduce compression ratio.
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Use high-octane fuel / knock inhibitors (TEL, MTBE, aromatics).
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Improve cooling (water jacket, sodium-filled valves).
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Optimize chamber design (swirl, squish).
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5.4 Pre-ignition
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Definition: Ignition of mixture before spark plug fires. Caused by hot spot (spark plug tip, exhaust valve, carbon deposit).
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Difference from Detonation: Occurs before spark, during compression. Often leads to detonation.
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Causes: Lean mixture, advanced timing, hot spots, low heat range plug.
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Remedies: Use cold plug, clean deposits, enrich mixture, retard timing.
5.5 Combustion Chambers for SI Engines
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Desirable Characteristics: High volumetric efficiency, good scavenging, high thermal efficiency, low knock tendency, adequate turbulence, easy manufacture.
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Types (with sketches):
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T-head / L-head (Side valve): Valves in block. Simple, poor breathing, low CR. Obsolete.
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I-head / OHV: Valves in head, pushrods. Good balance of cost/performance.
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Hemispherical (Hemi):
DiagramSEARCH: "hemispherical combustion chamber"-
Advantages: Large valve area, good breathing, high CR possible, central spark plug.
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Disadvantages: Complex head, expensive, high heat loss.
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Wedge:
DiagramSEARCH: "wedge combustion chamber"-
Advantages: Simple, good volumetric efficiency, low heat loss.
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Disadvantages: Less swirl than hemi.
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Pent-roof:
DiagramSEARCH: "pent roof combustion chamber"-
Advantages: Excellent breathing (4 valves), high CR, good swirl/tumble.
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Disadvantages: Complex head.
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Squish & Swirl/Tumble:
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Squish: Piston near head at TDC → air forced radially → turbulence → faster flame.
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Swirl/Tumble: Intake port design → rotary motion → better mixing.
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6.0 COMBUSTION IN COMPRESSION IGNITION (CI) ENGINES
6.1 Stages of Combustion (P-θ Diagram)
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Ignition Delay Period: Fuel injection → first pressure rise. Physical (atomization, vaporization, mixing) + Chemical (pre-flame reactions).
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Uncontrolled Combustion (Rapid): Fuel accumulated during delay burns rapidly → sharp pressure rise (diesel knock if too long).
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Controlled Combustion (Afterburning): Remaining fuel burns as it mixes → gradual pressure rise.
6.2 Diesel Knock
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Definition: Rough combustion, high vibration & noise due to excessive ignition delay. Large amount of fuel accumulates → rapid burn → high pressure rise rate.
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Difference from SI Knock: SI knock = auto-ignition of end-gas. CI knock = too rapid burn of first-injected fuel.
6.3 Factors Affecting Ignition Delay & Combustion
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Fuel Properties:
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Cetane Number (CN): Higher CN → shorter delay. CN = % by volume of cetane (C₁₆H₃₄) in reference fuel that matches ignition quality.
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Viscosity, volatility (affect atomization, vaporization).
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Engine Variables:
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↑ Compression Ratio → ↓ delay (higher $$\displaystyle T_2 $$).
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↑ Engine Speed → ↓ delay (in °CA) due to turbulence.
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↑ Load → ↑ injection pressure → better atomization → ↓ delay.
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↑ Inlet Temp/Pressure → ↓ delay.
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Injection Timing: Advanced → higher $$\displaystyle T_2 $$ at injection → ↓ delay.
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Nozzle Design: Smaller holes → better atomization → ↓ delay.
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6.4 Combustion Chambers for CI Engines
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Desirable: Good air utilization, high rate of pressure rise (controlled), low heat loss, low soot/NOx.
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Types:
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Open Combustion Chamber (Direct Injection - DI):
DiagramSEARCH: "direct injection diesel combustion chamber"-
Fuel injected directly into piston bowl.
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Requirements: High injection pressure (150-250 bar), multi-hole nozzle.
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Advantages: Simple, no heat loss in swirl chamber, high efficiency.
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Disadvantages: Requires high pressure pump, sensitive to fuel properties.
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Indirect Combustion Chambers:
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Pre-combustion Chamber:
DiagramSEARCH: "precombustion chamber diesel"-
Auxiliary chamber connected by orifice. Fuel injected into chamber → initial combustion → pressure blows burning mixture into main chamber.
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Advantages: Smooth running, less noise, lower injection pressure needed.
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Disadvantages: Heat loss in chamber → lower efficiency (5-10% loss).
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Swirl Chamber:
DiagramSEARCH: "swirl chamber diesel"-
Tangential intake port creates strong swirl. Fuel injected into swirling air.
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Similar pros/cons to pre-chamber.
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Air Motion:
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Squish: Piston to head clearance → radial air motion.
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Swirl: Rotary motion about cylinder axis (from inclined intake port).
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Tumble: Rotary motion about transverse axis (from vertical port).
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7.0 FUELS & FUEL PROPERTIES
7.1 General Chemical Formulas & Structures
| Hydrocarbon Type | General Formula | Structure | Saturation |
|---|---|---|---|
| Paraffins (Alkanes) | $$\displaystyle C_nH_{2n+2} $$ | Straight/branched chain | Saturated |
| Olefins (Alkenes) | $$\displaystyle C_nH_{2n} $$ | One double bond | Unsaturated |
| Naphthenes (Cycloalkanes) | $$\displaystyle C_nH_{2n} $$ | Ring structure (saturated) | Saturated |
| Aromatics | $$\displaystyle C_nH_{2n-6} $$ | Benzene ring (unsaturated) | Unsaturated |
7.2 Fuel Rating
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SI Engines - Octane Number (ON):
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Definition: % by volume of iso-octane (2,2,4-trimethylpentane, ON=100) in reference mixture with n-heptane (ON=0) that matches knock resistance of test fuel.
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Research Octane Number (RON): Mild test (low speed). Motor Octane Number (MON): Severe test (high speed, load). Anti-Knock Index (AKI) = (RON+MON)/2 (pump octane).
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CI Engines - Cetane Number (CN):
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Definition: % by volume of cetane (C₁₆H₃₄, CN=100) in reference mixture with heptamethylnonane (CN=0) that matches ignition quality of test fuel.
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Significance: Higher CN → shorter ignition delay → smoother combustion. Minimum CN required: 45-55 for automotive diesels.
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7.3 Desirable Fuel Characteristics
| SI Engine (Petrol) | CI Engine (Diesel) |
|---|---|
| High octane number | High cetane number |
| Good volatility (evaporates easily) | Proper viscosity (for injection) |
| Clean burning (low deposits) | Low sulfur (reduce soot, corrosion) |
| Low gum formation | Good stability (storage) |
| Low freezing point | Good cold flow properties |
7.4 Fuel Additives (Dopes)
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Why mixed? Improve existing properties (octane, cetane), impart new ones (detergency, anti-corrosion).
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Requirements of Good Additive: Effective at low concentration, stable, non-corrosive, non-toxic, compatible.
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Types:
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Anti-knock: Tetraethyl lead (TEL - phased out), MTBE, aromatics, ethanol.
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Oxidation Inhibitors: Prevent gum formation.
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Detergents: Keep injectors/carburetor clean.
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Pour Point Depressants: Improve cold flow (diesel).
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Cetane Improvers: Alkyl nitrates (e.g., 2-ethylhexyl nitrate).
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7.5 Alternative Fuels
| Fuel | Composition/Properties | Advantages | Disadvantages |
|---|---|---|---|
| LPG | Propane, Butane | High octane, clean | Low energy density, storage (pressure) |
| CNG | Methane (compressed) | High octane, clean, abundant | Low energy density, high pressure cylinders |
| Alcohols (Methanol, Ethanol) | Oxygenated, high octane | Renewable, high octane | Low energy density, material compatibility, cold start |
| Hydrogen | H₂ | Zero carbon, high efficiency | Storage (cryogenic/compressed), backfire, pre-ignition, NOx |
| Biodiesel | Methyl esters of vegetable oils | Renewable, lubricity | Cold flow, oxidation stability, NOx increase |
8.0 FORCED INDUCTION: SUPERCHARGING & TURBOCHARGING
8.1 Need & Effect on Performance
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Need: Increase mass of air per cycle → more fuel → more power.
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Effects:
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↑ Power Output (by 30-50% for same engine size).
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↓ Specific Fuel Consumption (SFC) at full load (more air → better combustion).
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↑ Volumetric Efficiency (>100% possible).
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↑ Mean Effective Pressure.
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Limitations:
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SI Engines: ↑ tendency for detonation (higher $$\displaystyle T_2 $$, pressure).
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Both: ↑ thermal & mechanical stress, ↑ NOx emissions (higher $$\displaystyle T_{max} $$).
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8.2 Supercharging vs. Turbocharging
| Supercharger | Turbocharger | |
|---|---|---|
| Power Source | Engine-driven (belt, gear, shaft) | Exhaust gas-driven turbine |
| Response | Immediate (no lag) | Turbo lag (exhaust energy needed) |
| Efficiency | Lower (parasitic power loss) | Higher (uses waste energy) |
| Complexity | Simpler | More complex (turbine, bearings) |
| Common Use | High-performance SI, aircraft | Most modern diesel, many SI |
8.3 Methods of Supercharging
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Mechanically Driven: Roots blower (positive displacement), Vane type.
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Exhaust Gas Driven (Turbocharger):
DiagramSEARCH: "turbocharger diagram"- Turbine wheel (exhaust gas) → compressor wheel (induces air) on same shaft.
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Pressure-Wave Supercharger (Comprex): Uses pressure waves in exhaust to compress intake air.
8.4 Turbocharging Systems
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Constant Pressure Charging: All cylinders exhaust into common manifold → steady pressure at turbine. Most common.
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Pulse Charging: Individual exhaust pipes → turbine sees pressure pulses → better energy extraction at low speed.
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Advantages/Disadvantages: Pulse charging better low-end torque but complex piping. Constant pressure simpler, better high-speed.
8.5 Intercooling
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Purpose: Cool compressed air from supercharger/turbo before entering engine.
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Benefits: ↑ air density → more mass per volume. ↓ $$\displaystyle T_2 $$ → ↓ detonation tendency (SI), ↓ NOx.
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Types: Air-to-air, air-to-water.
9.0 COOLING SYSTEM
9.1 Need for Cooling
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Prevent piston seizure, maintain clearances.
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Avoid lubricant breakdown.
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Control detonation (SI).
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Prevent material strength loss.
9.2 Types of Cooling Systems
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Air Cooling: Fins on cylinder/head. Forced by fan. Used in motorcycles, small engines.
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Liquid Cooling (Most Common): Coolant (water+antifreeze) circulated by pump.
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Forced Cooling System:
DiagramSEARCH: "liquid cooling system diagram"-
Components: Radiator, water pump, thermostat, cooling fan, hoses, water jacket.
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Working: Hot coolant from engine → radiator (cooled by air flow) → thermostat (controls flow) → water pump → engine.
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9.3 Cooling System Components
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Radiator: Types: Cellular (air passes through tubes), Tubular (water in tubes). Pressure cap raises boiling point.
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Thermostat: Regulates coolant flow to maintain optimum temp (~80-90°C). Types: Wafer (wax), Bellows, Piston.
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Water Pump: Centrifugal type, belt-driven.
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Cooling Fan: Clutch-driven (thermal/viscous) or electric. Operates when coolant temp high.
9.4 Coolants & Additives
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Anti-freeze: Ethylene glycol (lower freezing point, raise boiling point). Glycerin (less toxic).
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Corrosion Inhibitors: Phosphates, silicates, borates (protect metal).
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Rust Preventives: Oiliness additives.
9.5 Cooling Fins
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Design: Thin, closely spaced, tapered (thick at base, thin at tip). Direction of airflow along fins.
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Effectiveness Factors: Fin material (Al, Cu), surface area, airflow velocity, temperature gradient.
10.0 LUBRICATION SYSTEM
10.1 Functions of Lubrication
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Reduce friction & wear (boundary, hydrodynamic).
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Seal piston rings against cylinder wall.
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Cool (carry heat away).
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Clean (carry contaminants to filter).
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Prevent corrosion (oil additives).
10.2 Properties of Lubricating Oil
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Viscosity: Most important. Must be sufficient at high temp (film strength) but not too high at low temp (cold start). Measured by SAE grades (e.g., 10W-40).
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Pour Point: Lowest temp at which oil flows.
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Flash Point: Temp at which vapors ignite (safety).
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Carbon Residue: Tendency to form deposits.
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Acidity: Should be neutral (low TAN).
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Demulsibility: Ability to separate from water.
10.3 Types of Lubrication Systems
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Mist Lubrication: Oil mixed with air (2-stroke engines). Simple, oil burned with fuel.
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Splash Lubrication: Crankshaft dips in oil sump → splashes oil. For small engines.
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Pressure Feed Lubrication:
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Wet Sump: Oil pan (sump) stores oil. Pump draws from sump → filters → main bearings → galleries → other parts → back to sump.
DiagramSEARCH: "wet sump lubrication system" -
Dry Sump: Separate oil tank. Scavenger pumps return oil from sump to tank. Pressure pump supplies from tank. Used in racing/aero engines (no oil surge).
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Filtration:
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Full Flow: All oil passes through filter before bearings.
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Bypass: Only part of oil filtered, rest bypasses (used with centrifuge).
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10.4 Lubrication of Critical Components
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Main Bearings: Pressure feed through galleries.
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Connecting Rod Bearings: Oil from main bearing gallery → through crankshaft drillings.
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Piston & Cylinder: Oil from cylinder wall (splash) or dedicated nozzle (oil jet).
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Valve Mechanism: Oil from camshaft bearings or pushrods (drip/splash).
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Camshaft: Pressure feed or splash.
11.0 OTHER SYSTEMS & ADVANCED CONCEPTS
11.1 Valve Timing & Port Timing
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Theoretical vs Actual: Actual timing differs due to valve inertia, dynamics. Valves open/close before/after TDC/BDC.
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Events (4-Stroke):
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IO (Inlet Open): Before intake stroke (TDC exhaust).
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IC (Inlet Close): After intake stroke (BDC).
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EO (Exhaust Open): Before exhaust stroke (BDC).
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EC (Exhaust Close): After exhaust stroke (TDC intake).
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Overlap: Period when both inlet & exhaust open. Helps scavenging (exhaust pulse draws fresh charge).
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Effect: Optimizes breathing, scavenging, volumetric efficiency.
11.2 Scavenging (2-Stroke Engines)
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Definition: Clearing exhaust gases & filling cylinder with fresh charge.
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Types:
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Cross-flow: Inlet & exhaust on opposite sides. Simple, poor scavenging (short-circuiting).
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Loop Scavenging:
DiagramSEARCH: "loop scavenging 2-stroke"-
Transfer ports angled → creates loop → prevents direct short-circuit.
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Better than cross-flow.
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Uniflow Scavenging:
DiagramSEARCH: "uniflow scavenging 2-stroke"-
Inlet at bottom, exhaust valve at top (or ports). One-way flow.
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Best scavenging efficiency, used in large marine diesels.
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11.3 Exhaust Gas Recirculation (EGR)
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Purpose: Reduce NOx emissions by lowering peak combustion temperature.
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Types:
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Internal EGR: Retain some exhaust in cylinder by valve overlap.
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External EGR: Exhaust gas routed back to intake via valve & cooler.
DiagramSEARCH: "external EGR system diagram"
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Advantages: Significant NOx reduction.
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Limitations: ↑ soot, HC, CO; ↓ power; needs control to avoid low-load instability.
11.4 Wankel (Rotary) Engine
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Construction & Working:
DiagramSEARCH: "wankel engine diagram"-
Rotor (triangular) in epitrochoid housing. Three chambers: intake, compression, expansion, exhaust.
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One power stroke per revolution of rotor (3 power strokes per shaft revolution).
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Advantages: Compact, smooth, high power/weight, fewer parts.
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Disadvantages: Poor fuel economy, high emissions, sealing problems (apex seals), low thermal efficiency.
11.5 Engine Emissions & Control (Brief)
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Sources:
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CO, HC: Incomplete combustion (rich, poor mixing, crevices).
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NOx: High $$\displaystyle T_{max} $$ (thermal NOx).
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PM (Soot): Rich zones, poor mixing (CI).
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Control Methods:
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Catalytic Converter: Oxidizes CO, HC; reduces NOx (3-way cat for SI).
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EGR: Reduces NOx.
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Fuel Injection Control: Precise metering.
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Diesel Particulate Filter (DPF): Traps soot.
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12.0 NUMERICAL PROBLEM SOLVING (INTEGRATED WITH TOPICS)
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Air-Standard Cycles: Follow steps in 1.2 & 1.3. Use correct specific heat ratio ($$\displaystyle \gamma=1.4 $$ for air unless given $$\displaystyle C_v, R $$). For Diesel, find $\rho$ from given volumes or pressures.
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Performance Parameters from Trial Data:
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$$\displaystyle BP = \frac{2\pi N T}{60} $$
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$$\displaystyle bsfc = \frac{\dot{m}_f}{BP} $$ (ensure consistent units: kg/s, kW).
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$IP$ (if Morse test data): $$\displaystyle IP = BP_{all} + \sum (BP_{all} - BP_{cut\ i}) $$.
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$$\displaystyle IMEP = \frac{IP \cdot 60}{L A N} $$.
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Heat Balance Sheet: Calculate each heat output term (BP, cooling water, exhaust) in kW or kJ/min. Heat input = $$\displaystyle \dot{m}_f \cdot CV $$. Unaccounted = Input - Sum(outputs).
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Carburetion: Use Bernoulli for air velocity, then mass flow. Fuel flow from orifice equation. $$\displaystyle AFR = \dot{m}_a / \dot{m}_f $$. Remember discharge coefficients.
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Morse Test: As shown in 2.3.
[!TIP] Final Exam Strategy: For numericals, draw the cycle diagram first, label states 1,2,3,4. Write given data clearly. Use consistent units (kJ, kg, kPa, m³). For performance problems, list all knowns, identify unknowns, select correct formula. For comparison questions (Otto vs Diesel), state assumptions clearly (same $r$, same $$\displaystyle Q_{in} $$).