Engine Balancing Quiz

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Questions and Answers

What is the primary concern when prolonging an isentropic expansion in an engine cycle?

  • The cycle would take too long to complete (correct)
  • It can significantly increase the frequency of the cycle
  • It can result in inefficient combustion
  • It leads to higher temperature gradients

Which factor directly impacts the efficiency of the Otto cycle?

  • The color of the fuel
  • The texture of the combustion chamber
  • The size of the cylinder
  • The compression ratio (correct)

What happens to the efficiency of the Otto cycle as the compression ratio increases?

  • It remains constant
  • It increases, but the rate of increase diminishes (correct)
  • It decreases rapidly
  • It fluctuates dramatically

In the context of engine cycles, what does increasing the maximum pressure (p3) do?

<p>Increases the work output but risks damaging the engine (A)</p> Signup and view all the answers

Why might constant pressure rejection phases be less favorable in engine designs?

<p>The displacement of the cylinder would be too large (A)</p> Signup and view all the answers

How does a change in the fuel-air mixture affect the efficiency of the Otto cycle?

<p>It decreases efficiency as the mixture changes from air to mixtures of fuel (A)</p> Signup and view all the answers

What aspect of the cycle does the exhaust and intake phase not contribute to?

<p>Work production (C)</p> Signup and view all the answers

What is a key consideration when dealing with high maximum pressures in an engine?

<p>Ensuring that the engine does not suffer damage (B)</p> Signup and view all the answers

What condition must be met for the torque vectors to cancel each other out in an in-line engine with evenly spaced cranks?

<p>The harmonic is not a multiple of $\frac{i}{2}$ (A)</p> Signup and view all the answers

What does the equation $M_{multi} = i[M_0 + \Sigma_{in/m} M_p \sin(p!t + p)]$ represent?

<p>Total torque output of a multi-cylinder engine (A)</p> Signup and view all the answers

How can centrifugal forces in a four-stroke engine be assessed for balance?

<p>Using star diagrams to visualize piston positions (D)</p> Signup and view all the answers

Which forces are described by the equation $F_C = mc \omega^2 r$?

<p>Centrifugal forces acting on the engine components (B)</p> Signup and view all the answers

What is the primary purpose of determining the firing order in an engine?

<p>To prevent consecutive cylinders from firing simultaneously (B)</p> Signup and view all the answers

Why might the moments created by centrifugal forces not be balanced even if the centrifugal forces themselves are?

<p>Due to variations in torque output per cylinder (A)</p> Signup and view all the answers

What does the conrod ratio ($= \frac{r}{l}$) determine in the context of inertia forces?

<p>The impact degree of inertia forces (D)</p> Signup and view all the answers

How are cylinders typically numbered in an engine setup?

<p>Consecutively from a reference plane intersecting the cylinders (A)</p> Signup and view all the answers

What is the form of the first order inertial force expressed mathematically?

<p>$Fa = ma !^2 r cos \theta$ (D)</p> Signup and view all the answers

What is the phenomenon called when combustion products recombine with remaining reactants at high temperatures?

<p>Dissociation (D)</p> Signup and view all the answers

How does the modulus of the first and second order forces behave?

<p>Variable modulus with constant direction. (A)</p> Signup and view all the answers

What happens to the system of Fa1 and Fa2 forces in an in-line engine?

<p>Both Fa1 and Fa2 cancel out. (D)</p> Signup and view all the answers

Which condition indicates that an engine is supercharged?

<p>Inlet pressure is higher than atmospheric pressure (B)</p> Signup and view all the answers

How are first-order and second-order forces characterized in terms of their rotation?

<p>Both first-order and second-order forces rotate at crankshaft speed. (D)</p> Signup and view all the answers

What happens to fluid properties when the gas composition is not frozen?

<p>They become dependent on temperature (A)</p> Signup and view all the answers

What characterizes the intake and exhaust phases in the described cycles?

<p>They are considered ideal and adiabatic (C)</p> Signup and view all the answers

What is the impact of higher harmonics on the analysis of inertial forces?

<p>Higher harmonics are ignored in the analysis. (C)</p> Signup and view all the answers

What characteristic distinguishes the second-order inertial forces from the first-order forces?

<p>Second-order forces constitute a constant rigid system. (A)</p> Signup and view all the answers

During the unthrottled cycle, what occurs in relation to the pressure?

<p>The pressure falls isocorically to environment pressure (A)</p> Signup and view all the answers

What defines the rotating vectors used to represent inertial forces?

<p>They have a constant modulus equal to half the force. (C)</p> Signup and view all the answers

What is the role of the pressure in the inlet manifold for a SI engine's power control?

<p>To control the engine’s power output (A)</p> Signup and view all the answers

How is the resultant of the system of second-order forces characterized over time?

<p>It remains constant in amplitude and rotates with 2ω. (B)</p> Signup and view all the answers

What occurs if the external pressure does not match the cylinder pressure during the exhaust phase?

<p>Some fresh charge or burned gas flows into the intake manifold until equilibrium is reached (C)</p> Signup and view all the answers

Which type of cycle allows for instantaneous valve events without changing cylinder volume?

<p>Ideal cycle (A)</p> Signup and view all the answers

How is the efficiency of the air-fuel cycle mathematically defined?

<p>$\eta_{af} = \frac{W_{af}}{m_f Q_{LHV}}$ (D)</p> Signup and view all the answers

What primarily causes the air-fuel cycle efficiency to be lower than ideal?

<p>Inconsistency in specific heat capacities (B)</p> Signup and view all the answers

At what temperature can the dissociation of products into reactants typically occur?

<p>Around 1850K (B)</p> Signup and view all the answers

What happens to the specific gas constant after combustion?

<p>It increases due to variation in number of moles (B)</p> Signup and view all the answers

Which statement about the subtangent of a thermodynamic transformation is true?

<p>It varies depending on the location of the point along the curve. (B)</p> Signup and view all the answers

During which process do real and ideal air-fuel cycles differ significantly?

<p>During combustion and expansion (A)</p> Signup and view all the answers

Why is dissociation less likely to occur in lean mixtures?

<p>The temperature does not reach significant levels. (A)</p> Signup and view all the answers

What defines the residual fraction of spent gases in a thermodynamic process?

<p>The unchanged state at exhaust pressure. (B)</p> Signup and view all the answers

What is the main effect of employing Early Intake Valve Closing (EIVC) in the Miller cycle?

<p>It diminishes the work done but increases efficiency. (A)</p> Signup and view all the answers

How does Late Intake Valve Closing (LIVC) affect the gas charge in the cylinder compared to a standard cycle?

<p>It reduces the charge as some is pushed back into the intake manifold. (A)</p> Signup and view all the answers

Which characteristic distinguishes the Miller cycle from the Otto cycle?

<p>The valve timing adjustments for intake. (A)</p> Signup and view all the answers

What is a significant consequence of reducing the charge in the Miller cycle?

<p>A reduction in power output with improved efficiency. (B)</p> Signup and view all the answers

In what applications is the Miller cycle primarily utilized?

<p>In large Diesel engines for ships and niche automotive applications. (B)</p> Signup and view all the answers

During which phase does the gas composition remain mostly stable in the newly introduced air-fuel cycles?

<p>During both intake and compression phases. (B)</p> Signup and view all the answers

What is one of the characteristics of the gases involved in air-fuel cycles compared to ideal cycles?

<p>They can change in composition during the combustion phase. (C)</p> Signup and view all the answers

What is the impact of the combustion products' recombination with the remaining reactants at high temperatures?

<p>It results in a decrease in the overall thermodynamic work output. (D)</p> Signup and view all the answers

Flashcards

Inertial Forces

Forces arising from the acceleration of reciprocating masses in an engine.

First Order Inertial Force

The component of inertial force that varies proportionally to the crankshaft speed. It changes direction twice per revolution.

Second Order Inertial Force

The component of inertial force that varies at twice the crankshaft speed. It changes direction four times per revolution.

Rotating Vector Representation of Inertial Forces

The phenomenon of representing inertial forces as rotating vectors for easier analysis, similar to how centrifugal forces are represented.

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Inertial Force Balancing

The balancing of forces from different reciprocating masses in a multi-cylinder engine.

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Four-Stroke Engine

A type of engine where the piston completes a full cycle in four strokes: intake, compression, power, and exhaust.

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Torque Fluctuation

The cyclical variation in crankshaft torque caused by the reciprocating masses of the engine.

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V-Engine Inertial Forces

An engine configuration where the cylinders are arranged in a V-shape. This configuration can lead to uneven inertial forces compared to inline engines.

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Torque Vector Summation in Inline Engines

In an inline engine with evenly spaced cranks, the torque vectors add up when the harmonic is a multiple of i/2 and cancel each other out when it's not. This is due to the phasing of the cylinders.

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Total Torque in Multi-Cylinder Engines

For multi-cylinder engines, the total torque can be calculated by summing the contributions of each cylinder's torque for each harmonic.

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Centrifugal Force

The force acting on a rotating mass due to its rotation, determined by the mass, angular velocity squared, and the radius of rotation.

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Star Diagram

A diagram that shows the positions of pistons in an engine at different crank angles, helping visualize the balance or imbalance of centrifugal forces.

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Centrifugal Force Balance

In certain engine configurations, the centrifugal forces created by rotating components cancel each other out due to their placement and movement.

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Firing Order

The order in which cylinders fire in a multi-cylinder engine, impacting engine smoothness and vibration.

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Lengthwise Layout of Cranks

The arrangement of crankshaft throws in a multi-cylinder engine, determining the relative positions of pistons and firing order.

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Early Intake Valve Closing (EIVC)

A combustion cycle where the intake valve is closed before the piston reaches bottom dead center (BDC), increasing efficiency by expanding the air charge before compression.

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Late Intake Valve Closing (LIVC)

A combustion cycle where the intake valve is closed after the piston has reached BDC, increasing efficiency by pushing some air back into the intake manifold.

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Miller Cycle

A thermodynamic cycle used in large diesel engines and some niche automotive applications, which achieves higher efficiency by employing either EIVC or LIVC.

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Air-Fuel Cycle

A thermodynamic cycle where the working fluid changes its chemical composition during the combustion process.

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Frozen Mixture

During the intake and compression phases of an air-fuel cycle, the mixture of air and fuel remains relatively unchanged, behaving like a frozen mixture.

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Cycle Efficiency

The ability of a cycle to convert heat energy into useful work, expressed as a percentage.

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Isentropic Expansion

The process of a working fluid expanding at a constant entropy, typically used in engines.

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Isothermal Heat Rejection

A cycle where heat is rejected from the working fluid at a constant temperature.

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Constant Pressure Rejection

A cycle where the working fluid is expanded at constant pressure.

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Otto Cycle

The Otto cycle is a theoretical cycle where the combustion process is instantaneous and ideal, leading to high pressures.

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Compression Ratio (rc)

The ratio of the volume of the working fluid at the start of the compression stroke to the volume at the end of the compression stroke.

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Maximum Pressure (p3)

The maximum pressure reached within the cycle, typically after combustion.

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Mean Effective Pressure (imep)

A measure of the average pressure acting on the piston during the power stroke, determining the engine's power output.

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Dissociation

The process where combustion products at high temperatures decompose back into their original reactants due to high thermal energy.

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Recombination

The opposite of dissociation, where combustion products recombine as they cool down, but not fully recovering the lost energy.

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Miller/Otto Efficiency Ratio

The ratio of the efficiency of a Miller cycle engine (with variable valve timing) to the efficiency of an Otto cycle engine (traditional fixed timing) at the same operating conditions.

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Miller/Otto Imep Ratio

The ratio of the mean effective pressure (imep) of a Miller cycle engine to the imep of an Otto cycle engine at the same operating conditions.

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Ideal Exhaust/Intake

An engine cycle where the intake and exhaust phases are idealized as instantaneous valve events at Top Dead Center (TDC) and Bottom Dead Center (BDC), with no volume change during valve opening and closing.

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Pressure Equalization During Intake/Exhaust

The change in pressure within the cylinder during intake and exhaust, assuming the external pressure is not equal to the cylinder pressure, resulting in fresh charge or burned gas flowing to equalize the pressures.

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Throttle Control

The process of controlling an engine's power by adjusting the pressure in the intake manifold.

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Supercharged Engine

An engine where the intake manifold pressure is higher than the atmospheric pressure, leading to increased power.

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Air-Fuel Cycle Efficiency

The ratio of the work obtained from the engine to the lower heating value of the fuel consumed.

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Subtangent

The slope of the tangent line to a thermodynamic process curve at a specific point.

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Dependence of Specific Heats on Temperatures

A key factor affecting air-fuel cycle efficiency due to the varying energy content of gases at different temperatures.

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Variation of Specific Gas Constant

The change in the number of moles and molar mass of the gas mixture before and after combustion.

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Ideal Cycle

A thermodynamic cycle where the working fluid remains unchanged during the cycle.

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Study Notes

Engine Balancing

  • Engine pressure creates torque via the crank-slide mechanism (crank gear)
  • Crank gear transforms reciprocating piston motion to rotating shaft motion
  • Piston = reciprocating mass, crank = rotating mass, connecting rod motion is in-between
  • Inertia forces needed to accelerate/decelerate masses
  • Pressure forces on piston translate to force perpendicular to piston surface
  • This force decomposes into components: conrod force (Fconrod) and piston surface force (FN)
  • Conrod force transmits to crank as tangential force (FT) and radial force (FR)
  • Engine torque (Meng) = Fr·r (instantaneous)
  • Radial force compensated by crankshaft bearings
  • Engine block must compensate for engine torque via reaction torque

Mass Balancing of Centrifugal Forces

  • Rotating masses produce centrifugal forces
  • Counterweights balance centrifugal forces acting on rotating masses
  • Counterweights produce equal force in opposite direction

Engine Balancing Introduction

  • Aim of balancing is to eliminate or reduce vibrations caused by engine stresses
  • Vibrations transmitted throughout engine structure

Forces and Moments

  • Surface forces engine exchanges with mounts
  • Torque engine exchanges with crankshaft
  • Forces on engine from accessories
  • Forces on engine from vehicle frame (clutch…)
  • Gas pressure forces compensated by crank bearings
  • Weight is a constant force
  • Reciprocating and centripetal forces (constant magnitude, varying direction) are to be accounted for

Balancing of Inertia and Centrifugal Actions. Cyclic Behaviour of the Engine

  • Goal is to balance forces on engine mounts and moments
  • Aim is for regular engine torque
  • Engine torque is a cyclic function of crank angle

Fourier Analysis of Engine Torque

  • Engine torque is decomposed into its harmonics
  • Formula for single cylinder torque: Msingle = M0 + ΣkMk sin(kwt + ψk)
  • Mo = constant average torque, Mk = magnitude of kth harmonic, w = angular velocity

Torque in a Multi-cylinder Engine

  • Smooth torque requires uneven cylinder firing times
  • Adjusting crank position creates different firing orders
  • Formula for phase shift between cylinders: Δφ = m 2Ï€/i = m 360°/i
  • m = number of cylinders, i = cylinder number

Analysis of Centrifugal and Inertia Forces

  • Centrifugal forces: Fc = -mw²r
  • Inertia forces: Taylor expansion Fa = -max = -maw²r[cos0 + A cos 20 + …]
  • x = conrod ratio

Centrifugal Forces, Four-Stroke Engines

  • Star diagrams used to visualize piston positions for centrifugal force balance
  • Centrifugal forces are automatically balanced in many four-stroke engines

Lengthwise Layout of Cranks and Firing Order

  • Firing order arrangement to balance moment from centrifugal forces
  • Numbering of cylinders based on reference plane and consecutive order (typically starts from opposite of output side)
  • Consistent firing sequences help avoid cylinders firing consecutively

Four-Stroke Engine, i Even

  • Cylinders positioned symmetrically across crankshaft centerline to equally distribute inertial forces
  • Firing order 1-2-4-3 for four cylinder example

Four-Stroke Engine, i Odd

  • Anti-metric lengthwise layout minimizes, but doesn't eliminate, crank moments
  • Middle cylinder positioned at top, outer cylinders in swapped positions
  • Example of a 5 cylinder design

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